Journal articles: 'Long-Time stability'

1

Egorychev, L. N. "Long-time temperature stability in thermostats." Measurement Techniques 29, no. 5 (May 1986): 410–13. http://dx.doi.org/10.1007/bf00865945.

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2

Petit, G., and F. Arias. "Long term stability of atomic time scales." Proceedings of the International Astronomical Union 10, H16 (August 2012): 209–10. http://dx.doi.org/10.1017/s1743921314005444.

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AbstractWe review the stability and accuracy achieved by the reference atomic time scales TAI and TT(BIPM). We show that they presently are in the low 10−16 in relative value, based on the performance of primary standards, of the ensemble time scale and of the time transfer techniques. We consider how the 1 × 10−16 value could be reached or superseded and which are the present limitations to attain this goal.

3

Khan, Amjad, and Dmitry E. Pelinovsky. "Long-time stability of small FPU solitary waves." Discrete & Continuous Dynamical Systems - A 37, no. 4 (2017): 2065–75. http://dx.doi.org/10.3934/dcds.2017088.

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4

Yuan, Xiaoping, and Jing Zhang. "Long Time Stability of Hamiltonian Partial Differential Equations." SIAM Journal on Mathematical Analysis 46, no. 5 (January 2014): 3176–222. http://dx.doi.org/10.1137/120900976.

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5

Fischer, M., B. Hillerich, and F. Kozlowski. "Long-time stability of photoluminescence in porous silicon." Thin Solid Films 372, no. 1-2 (September 2000): 209–11. http://dx.doi.org/10.1016/s0040-6090(00)01054-3.

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6

Yu, Qiu Ying, Zhi Shen, Mai Cang Zhang, Guo Qing Jia, and Xi Shan Xie. "Long-Time Thermal Structural Stability Study on NiCr20TiAl Alloy." Advanced Materials Research 399-401 (November 2011): 71–75. http://dx.doi.org/10.4028/www.scientific.net/amr.399-401.71.

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The coarsening kinetics of main strengthening phase γ′ and the growth behavior of grain boundary carbides have been investigated on NiCr20TiAl alloy aged at 550~750°C for 200~10,000h. The precipitates of NiCr20TiAl alloy at standard heat treatment condition are γ′, M7C3, M23C6 and MC. The coarsening of γ′ precipitates proceeds by Ostwald ripening controlled by volume diffusion in the alloy. Grain boundary carbides M23C6 and M7C3 increase with ageing times and temperatures. The morphologies of precipitates after long-time ageing almost remain the same as that at standard heat treatment condition except 750°C.

7

Smits, J., H. T. C. Stoof, and P. van der Straten. "On the long-term stability of space-time crystals." New Journal of Physics 22, no. 10 (October 9, 2020): 105001. http://dx.doi.org/10.1088/1367-2630/abbae9.

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8

Sedlák, Marián. "Long-time stability of multimacroion domains in polyelectrolyte solutions." Journal of Chemical Physics 116, no. 12 (2002): 5246. http://dx.doi.org/10.1063/1.1445110.

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9

Vernotte, F., and E. Lantz. "Statistical biases and very-long-term time stability analysis." IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control 59, no. 3 (March 2012): 523–30. http://dx.doi.org/10.1109/tuffc.2012.2223.

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10

Pinnaduwage, Lal A., and Yifei Zhu. "Long-time stability of superexcited high Rydberg molecular states." Chemical Physics Letters 277, no. 1-3 (October 1997): 147–52. http://dx.doi.org/10.1016/s0009-2614(97)00913-5.

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11

German, R., B. Bukowska, G. Pajchel, W. Grzybowska, and S. Tyski. "Extremely long time stability study of selected antibiotic standards." Journal of Pharmaceutical and Biomedical Analysis 51, no. 3 (February 2010): 758–63. http://dx.doi.org/10.1016/j.jpba.2009.09.031.

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12

Boling, Guo, Zhang Linghai, and Huang Haiyang. "Long-time uniform stability of solution to magnetohydrodynamics equation." Applied Mathematics-A Journal of Chinese Universities 14, no. 1 (March 1999): 45–50. http://dx.doi.org/10.1007/s11766-999-0053-7.

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13

Elgindi, Tarek M., and Klaus Widmayer. "Long Time Stability for Solutions of aβ-Plane Equation." Communications on Pure and Applied Mathematics 70, no. 8 (November 15, 2016): 1425–71. http://dx.doi.org/10.1002/cpa.21676.

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14

Raj, Ankit, Henryk A. Witek, and Hiro‐o Hamaguchi. "Evaluating stability of a Raman spectrometer for long‐time experiments." Journal of Raman Spectroscopy 52, no. 5 (March 2021): 1032–47. http://dx.doi.org/10.1002/jrs.6085.

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15

Chen, Qiaoling, Hongzi Cong, Lulu Meng, and Xiaoqing Wu. "Long time stability result for 1-dimensional nonlinear Schrödinger equation." Journal of Differential Equations 315 (April 2022): 90–121. http://dx.doi.org/10.1016/j.jde.2022.01.032.

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16

Guès, Olivier, Guy Métivier, Mark Williams, and Kevin Zumbrun. "Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability." Journal of the American Mathematical Society 18, no. 1 (October 14, 2004): 61–120. http://dx.doi.org/10.1090/s0894-0347-04-00470-9.

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17

Cong, Hongzi, Meina Gao, and Jianjun Liu. "Long time stability of KAM tori for nonlinear wave equation." Journal of Differential Equations 258, no. 8 (April 2015): 2823–46. http://dx.doi.org/10.1016/j.jde.2014.12.025.

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18

Nguyen, Toan, and Kevin Zumbrun. "Long-Time Stability of Multi-Dimensional Noncharacteristic Viscous Boundary Layers." Communications in Mathematical Physics 299, no. 1 (July 30, 2010): 1–44. http://dx.doi.org/10.1007/s00220-010-1095-7.

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19

Kyu-Pyung Hwang. "A fourth-order accurate FDTD scheme with long-time stability." IEEE Microwave and Wireless Components Letters 15, no. 4 (April 2005): 271–73. http://dx.doi.org/10.1109/lmwc.2005.845741.

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20

Behner, H., K. Rührnschopf, G. Wedler, and W. Rauch. "Surface reactions and long time stability of YBCO thin films." Physica C: Superconductivity 208, no. 3-4 (April 1993): 419–24. http://dx.doi.org/10.1016/0921-4534(93)90216-d.

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21

Csach, K., J. Miškuf, V. Ocelík, V. Z. Bengus, and E. D. Tabachnikova. "Long-time stability of structure in Fe−B amorphous ribbons." Czechoslovak Journal of Physics 52, S1 (January 2002): A129—A132. http://dx.doi.org/10.1007/s10582-002-0030-3.

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22

Cong, Hongzi, Siming Li, and Xiaoqing Wu. "Long time stability result for d-dimensional nonlinear Schrödinger equation." Journal of Differential Equations 394 (June 2024): 174–208. http://dx.doi.org/10.1016/j.jde.2024.02.048.

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23

Dharmapala, Kalana Dulanjith, Athula Rajapakse, Krish Narendra, and Yi Zhang. "Machine Learning Based Real-Time Monitoring of Long-Term Voltage Stability Using Voltage Stability Indices." IEEE Access 8 (2020): 222544–55. http://dx.doi.org/10.1109/access.2020.3043935.

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24

Guès, O., G. Métivier, M. Williams, and K. Zumbrun. "Boundary layer and long time stability for multi-D viscous shocks." Discrete & Continuous Dynamical Systems - A 11, no. 1 (2004): 131–60. http://dx.doi.org/10.3934/dcds.2004.11.131.

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25

Feola, Roberto, Felice Iandoli, and Federico Murgante. "Long-time stability of the quantum hydrodynamic system on irrational tori." Mathematics in Engineering 4, no. 3 (2021): 1–24. http://dx.doi.org/10.3934/mine.2022023.

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<abstract><p>We consider the quantum hydrodynamic system on a $ d $-dimensional irrational torus with $ d = 2, 3 $. We discuss the behaviour, over a "non-trivial" time interval, of the $ H^s $-Sobolev norms of solutions. More precisely we prove that, for generic irrational tori, the solutions, evolving form $ \varepsilon $-small initial conditions, remain bounded in $ H^s $ for a time scale of order $ O(\varepsilon^{-1-1/(d-1)+}) $, which is strictly larger with respect to the time-scale provided by local theory. We exploit a Madelung transformation to rewrite the system as a nonlinear Schrödinger equation. We therefore implement a Birkhoff normal form procedure involving small divisors arising form three waves interactions. The main difficulty is to control the loss of derivatives coming from the exchange of energy between high Fourier modes. This is due to the irrationality of the torus which prevents to have "good separation'' properties of the eigenvalues of the linearized operator at zero. The main steps of the proof are: (i) to prove precise lower bounds on small divisors; (ii) to construct a modified energy by means of a suitable high/low frequencies analysis, which gives an a priori estimate on the solutions.</p></abstract>

26

Kunze, Markus, and Rafael Ortega. "Long-time stability estimates for the non-periodic Littlewood boundedness problem." Proceedings of the London Mathematical Society 107, no. 1 (January 4, 2013): 39–75. http://dx.doi.org/10.1112/plms/pds089.

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27

Borba, Cintia de Moraes, A. M. Mendes Silva, and P. C. Oliveira. "Long-time survival and morphological stability of preserved Sporothrix schenckii strains." Mycoses 35, no. 7-8 (April 24, 2009): 185–88. http://dx.doi.org/10.1111/j.1439-0507.1992.tb00843.x.

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28

Shen, Jie. "Long time stability and convergence for fully discrete nonlinear galerkin methods." Applicable Analysis 38, no. 4 (January 1990): 201–29. http://dx.doi.org/10.1080/00036819008839963.

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29

Nakamura, Minoru. "Long-time stability of high-concentration copper complexes in silicon crystals." Applied Physics Letters 79, no. 18 (October 29, 2001): 2904–6. http://dx.doi.org/10.1063/1.1415413.

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30

Wang, Shimin, Zhaowei Lou, and Jianguo Si. "Long time stability of KAM tori for the generalized Boussinesq equation." Nonlinear Analysis 200 (November 2020): 112084. http://dx.doi.org/10.1016/j.na.2020.112084.

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31

Ortolan, Giulia, and Alessandro Saccon. "A numerical test of long-time stability for rigid body integrators." International Journal for Numerical Methods in Engineering 90, no. 3 (December 12, 2011): 390–402. http://dx.doi.org/10.1002/nme.3333.

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32

Li, Dongfang, and Chengjian Zhang. "On the Long Time Simulation of Reaction-Diffusion Equations with Delay." Scientific World Journal 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/186802.

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For a consistent numerical method to be practically useful, it is widely accepted that it must preserve the asymptotic stability of the original continuous problem. However, in this study, we show that it may lead to unreliable numerical solutions in long time simulation even if a classical numerical method gives a larger stability region than that of the original continuous problem. Some numerical experiments on the reaction-diffusion equations with delay are presented to confirm our findings. Finally, some open problems on the subject are proposed.

33

Blidi, Slim, Kim Granholm, Tomasz Sokalski, Zekra Mousavi, Andrzej Lewenstam, Ivo Leito, and Johan Bobacka. "Long-Time Evaluation of Solid-State Composite Reference Electrodes." Membranes 12, no. 6 (May 30, 2022): 569. http://dx.doi.org/10.3390/membranes12060569.

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In this study, the performance and long-time evaluation of solid-state composite (SSC) reference electrodes were investigated. The stability of all the SSC reference electrodes was continuously monitored by using potentiometry and electrochemical impedance spectroscopy methods over a period of several months. A multi-solution protocol was used to study the influence of the ionic strength of the sample solution, ion charge, and mobility, and the sample pH values on the performance of the reference electrodes. The SSC reference electrodes were used in the calibration of commercial indicator electrodes for different ions at different temperatures. The concentrations of K+, Na+, Ca2+, and Cl- ions and pH values were measured in river water samples at different temperatures using the SSC reference electrodes. The obtained results for the same samples were compared with the results given by an independent laboratory specialized in routine water analyses. The agreement between the results was very good and even better than the case where commercial reference electrodes were used. Our study showed that the SSC reference electrodes exhibit good long-term stability and excellent performance, both in the calibrations and analyses of environmental samples.

34

González-González, Olga, Irving O. Ramirez, Bianca I. Ramirez, Peter O’Connell, Maria Paloma Ballesteros, Juan José Torrado, and Dolores R. Serrano. "Drug Stability: ICH versus Accelerated Predictive Stability Studies." Pharmaceutics 14, no. 11 (October 28, 2022): 2324. http://dx.doi.org/10.3390/pharmaceutics14112324.

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The International Council for Harmonisation of Technical Requirements for Pharmaceuticals for Human Use (ICH), along with the World Health Organization (WHO), has provided a set of guidelines (ICH Q1A-E, Q3A-B, Q5C, Q6A-B) intended to unify the standards for the European Union, Japan, and the United States to facilitate the mutual acceptance of stability data that are sufficient for registration by the regulatory authorities in these jurisdictions. Overall, ICH stability studies involve a drug substance tested under storage conditions and assess its thermal stability and sensitivity to moisture. The long-term testing should be performed over a minimum of 12 months at 25 °C ± 2 °C/60% RH ± 5% RH or at 30 °C ± 2 °C/65% RH ± 5% RH. The intermediate and accelerated testing should cover a minimum of 6 months at 30 °C ± 2 °C/65% RH ± 5% RH (which is not necessary if this condition was utilized as a long-term one) and 40 °C ± 2 °C/75% RH ± 5% RH, respectively. Hence, the ICH stability testing for industrially fabricated medicines is rigorous and tedious and involves a long period of time to obtain preclinical stability data. For this reason, Accelerated Predictive Stability (APS) studies, carried out over a 3–4-week period and combining extreme temperatures and RH conditions (40–90 °C)/10–90% RH, have emerged as novel approaches to predict the long-term stability of pharmaceutical products in a more efficient and less time-consuming manner. In this work, the conventional ICH stability studies versus the APS approach will be reviewed, highlighting the advantages and disadvantages of both strategies. Furthermore, a comparison of the stability requirements for the commercialization of industrially fabricated medicines versus extemporaneous compounding formulations will be discussed.

35

Bassom, Andrew P., and P. J. Blennerhassett. "Long wavelength vortices in time-periodic flows." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 39, no. 4 (April 1998): 498–512. http://dx.doi.org/10.1017/s0334270000007761.

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AbstractThe linear stability properties are examined of long wavelength vortex modes in two time-periodic flows. These flows are the motion which is induced by a torsionally oscillating cylinder within a viscous fluid and, second, the flow which results from the sinusoidal heating of an infinite layer of fluid. Previous studies concerning these particular configurations have shown that they are susceptible to vortex motions and linear neutral curves have been computed for wavenumbers near their critical value. These computations become increasingly difficult for long wavelength motions and here we consider such modes using asymptotic methods. These yield simple results which are formally valid for small wavenumbers and we show that the agreement between these asymptotes and numerical solutions is good for surprisingly large wavenumbers. The two problems studied share a number of common features but also have important differences and, between them, our methods and results provide a basis which can be extended for use with other time-periodic flows.

36

Wang, Shigang, Yongli Bi, and Yingsong Li. "Improvements on Robust Stability of Sampled-Data System with Long Time Delay." Mathematical Problems in Engineering 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/580768.

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This paper mainly studies the problem of the robust stability analysis for sampled-data system with long time delay. By constructing an improved Lyapunov-Krasovskii functional and employing some free weighting matrices, some new robust stability criteria can be established in terms of linear matrix inequalities. Furthermore, the proposed equivalent criterion eliminates the effect of free weighing matrices such that numbers of decision variables and computational burden are less than some existing results. A numerical example is also presented and compared with previously proposed algorithm to illustrate the feasibility and effectiveness of the developed results.

37

Wang, Kun, Yinnian He, and Yanping Lin. "Long time numerical stability and asymptotic analysis for the viscoelastic Oldroyd flows." Discrete & Continuous Dynamical Systems - B 17, no. 5 (2012): 1551–73. http://dx.doi.org/10.3934/dcdsb.2012.17.1551.

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38

Warnock, Robert L., and Ronald D. Ruth. "Stability of nonlinear Hamiltonian motion for a finite but very long time." Physical Review Letters 66, no. 8 (February 25, 1991): 990–93. http://dx.doi.org/10.1103/physrevlett.66.990.

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39

Bambusi, Dario. "On long time stability in Hamiltonian perturbations of non-resonant linear PDEs." Nonlinearity 12, no. 4 (January 1, 1999): 823–50. http://dx.doi.org/10.1088/0951-7715/12/4/305.

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40

Wang, Guanying, Xingchun Wang, and Guangli Xu. "Long time stability of nonlocal stochastic Kuramoto–Sivashinsky equations with jump noises." Statistics & Probability Letters 127 (August 2017): 23–32. http://dx.doi.org/10.1016/j.spl.2017.03.024.

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41

Bambusi, Dario. "Long Time Stability of Some Small Amplitude Solutions in Nonlinear Schrödinger Equations." Communications in Mathematical Physics 189, no. 1 (October 1, 1997): 205–26. http://dx.doi.org/10.1007/s002200050196.

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42

Lauritzen, Peter Hjort. "A Stability Analysis of Finite-Volume Advection Schemes Permitting Long Time Steps." Monthly Weather Review 135, no. 7 (July 1, 2007): 2658–73. http://dx.doi.org/10.1175/mwr3425.1.

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Abstract Finite-volume schemes developed in the meteorological community that permit long time steps are considered. These include Eulerian flux-form schemes as well as fully two-dimensional and cascade cell-integrated semi-Lagrangian (CISL) schemes. A one- and two-dimensional Von Neumann stability analysis of these finite-volume advection schemes is given. Contrary to previous analysis, no simplifications in terms of reducing the formal order of the schemes, which makes the analysis mathematically less complex, have been applied. An interscheme comparison of both dissipation and dispersion properties is given. The main finding is that the dissipation and dispersion properties of Eulerian flux-form schemes are sensitive to the choice of inner and outer operators applied in the scheme that can lead to increased numerical damping for large Courant numbers. This spurious dependence on the integer value of the Courant number disappears if the inner and outer operators are identical, in which case, under the assumptions used in the stability analysis, the Eulerian flux-form scheme becomes identical to the cascade scheme. To explain these properties a conceptual interpretation of the flux-based Eulerian schemes is provided. Of the two CISL schemes, the cascade scheme has superior stability properties.

43

MURIANA, FRANCISCO J. G., and ANGEL M. RELIMPIO. "Stability of halophilic aspartate aminotransferase during long-time exposure to ammonium sulphate." Journal of General and Applied Microbiology 37, no. 3 (1991): 315–20. http://dx.doi.org/10.2323/jgam.37.315.

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44

Scherzer, W. G., H. L. Selzle, E. W. Schlag, and R. D. Levine. "Long time stability of very high Rydberg states of vibrationally excited molecules." Physical Review Letters 72, no. 10 (March 7, 1994): 1435–38. http://dx.doi.org/10.1103/physrevlett.72.1435.

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45

Zhang, Linghai. "Long time uniform stability for solutions of $n$-dimensional Navier-Stokes equations." Quarterly of Applied Mathematics 57, no. 2 (June 1, 1999): 283–315. http://dx.doi.org/10.1090/qam/1686191.

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46

Scheithauer, Uwe. "Long time stability of the energy scale calibration of a Quantum 2000." Journal of Electron Spectroscopy and Related Phenomena 184, no. 11-12 (January 2012): 542–46. http://dx.doi.org/10.1016/j.elspec.2011.08.007.

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47

Serre, Denis. "Long-time Stability in Systems of Conservation Laws, Using Relative Entropy/Energy." Archive for Rational Mechanics and Analysis 219, no. 2 (July 9, 2015): 679–99. http://dx.doi.org/10.1007/s00205-015-0903-9.

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48

Logvinenko, S. P., V. G. Yurko, Yu B. Tsybul'ko, and O. A. Rossoshanskii. "Long-time stability in TSAD semiconductor resistance thermometers at 0.4?4.2 K." Measurement Techniques 34, no. 2 (February 1991): 174–75. http://dx.doi.org/10.1007/bf00990826.

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49

Allegretto, Walter, Yanping Lin, and Aihui Zhou. "Long-time stability of finite element approximations for parabolic equations with memory." Numerical Methods for Partial Differential Equations 15, no. 3 (May 1999): 333–54. http://dx.doi.org/10.1002/(sici)1098-2426(199905)15:3<333::aid-num5>3.0.co;2-0.

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50

Freitas, M. M., R. Q. Caljaro, A. J. A. Ramos, and H. C. M. Rodrigues. "Long-time dynamics of ternary mixtures with localized dissipation." Journal of Mathematical Physics 63, no. 12 (December 1, 2022): 121508. http://dx.doi.org/10.1063/5.0098498.

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In this paper, we are considering a system modeling a mixture of three interacting continua with localized nonlinear damping acting in an arbitrary small region of the interval under consideration and external forces. The main goal is to construct a smooth global attractor with a finite fractal dimension using the recent quasi-stability theory. We also study the convergence of these attractors with respect to a parameter ϵ that multiplies the external forces. This study generalizes and improves the previous paper by Freitas et al. [Discrete Contin. Dyn. Syst. B 27, 3563 (2021)].

Journal articles on the topic 'Long-Time stability'

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