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Journal articles on the topic 'Initial boundary'

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Author: Grafiati
Published: 30 May 2022
Last updated: 31 May 2022

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1

Solonnikov, V. A. "Initial-boundary value problem for generalized Stokes equations." Mathematica Bohemica 126, no. 2 (2001): 505–19. http://dx.doi.org/10.21136/mb.2001.134018.

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2

Palencia, C., and I. Alonso Mallo. "Abstract initial boundary value problems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 124, no. 5 (1994): 879–908. http://dx.doi.org/10.1017/s0308210500022393.

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We consider abstract initial boundary value problems in a spirit similar to that of the classical theory of linear semigroups. We assume that the solution u at time t is given by u(t) = S(t) ξ + V(t)g, where ξ and g are respectively the initial and boundary data and S(t) and V(t) are linear operators. We take as a departing point the functional equations satisfied by the propagators S and V. We discuss conditions under which a pair (S, V) describes the solution of an abstract differential initial boundary value problem. Several examples are provided of parabolic and hyperbolic problems that can be accommodated within the abstract theory. We study the backward Euler's method for the time integration of the problems considered.
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3

Khabibullin, I. T. "Integrable initial-boundary-value problems." Theoretical and Mathematical Physics 86, no. 1 (January 1991): 28–36. http://dx.doi.org/10.1007/bf01018494.

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4

de Brito, Eliana Henriques. "Nonlinear initial-boundary value problems." Nonlinear Analysis: Theory, Methods & Applications 11, no. 1 (January 1987): 125–37. http://dx.doi.org/10.1016/0362-546x(87)90031-9.

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5

Meister, E., and L. Meister. "Some initial boundary problems in electrodynamics for canonical domains in quaternions." Mathematica Bohemica 126, no. 2 (2001): 429–42. http://dx.doi.org/10.21136/mb.2001.134024.

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6

Stahel, Andreas. "Hyperbolic initial boundary value problems with nonlinear boundary conditions." Nonlinear Analysis: Theory, Methods & Applications 13, no. 3 (March 1989): 231–57. http://dx.doi.org/10.1016/0362-546x(89)90052-7.

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7

Brevdo, Leonid. "Initial-Boundary-Value Stability Problem for the Blasius Boundary Layer." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 75, no. 5 (1995): 371–78. http://dx.doi.org/10.1002/zamm.19950750506.

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8

Nordström, Jan, and Thomas M. Hagstrom. "The Number of Boundary Conditions for Initial Boundary Value Problems." SIAM Journal on Numerical Analysis 58, no. 5 (January 2020): 2818–28. http://dx.doi.org/10.1137/20m1322571.

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9

Morachkovskii, O. K., and Yu V. Romashov. "Solving initial–boundary-value creep problems." International Applied Mechanics 45, no. 10 (October 2009): 1061–70. http://dx.doi.org/10.1007/s10778-010-0247-y.

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10

Radomirskaya, K. A. "Spectral and Initial-Boundary Conjugation Problems." Journal of Mathematical Sciences 250, no. 4 (September 21, 2020): 660–82. http://dx.doi.org/10.1007/s10958-020-05033-3.

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11

Tang, Jianliang, Jun Liu, and Mingqing Xiao. "Reconstruction of initial wave with radiation boundary condition via boundary sensing." Wave Motion 91 (November 2019): 102383. http://dx.doi.org/10.1016/j.wavemoti.2019.102383.

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12

Abdullah Alzaid, Nawal, and Huda Omar Bakodah. "Numerical Treatment of Initial-Boundary Value Problems with Mixed Boundary Conditions." American Journal of Computational Mathematics 08, no. 02 (2018): 153–74. http://dx.doi.org/10.4236/ajcm.2018.82012.

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13

Bakodah, H. O., and N. A. Al-Zaid. "Computational approaches to initial-boundary value problems with Neumann boundary conditions." Journal of Taibah University for Science 12, no. 5 (August 27, 2018): 612–19. http://dx.doi.org/10.1080/16583655.2018.1513688.

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14

Coughran, W. M. "On noncharacteristic boundary conditions for discrete hyperbolic initial-boundary-value problems." Journal of Computational Physics 60, no. 1 (August 1985): 135–54. http://dx.doi.org/10.1016/0021-9991(85)90021-x.

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15

Coulombel, Jean-François. "Fully discrete hyperbolic initial boundary value problems with nonzero initial data." Confluentes Mathematici 7, no. 2 (February 15, 2016): 17–52. http://dx.doi.org/10.5802/cml.22.

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16

Gupta, Asit Kumar, Anup Kumar Mukhopadhyay, Santimoy Kundu, and Pulak Patra. "Love wave in porous layer under initial stress over heterogeneous elastic half-space under gravity and initial stress." Geofísica Internacional 60, no. 3 (July 1, 2021): 193–210. http://dx.doi.org/10.22201/igeof.00167169p.2021.60.3.1917.

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In the present paper, effect of initial stresses and gravity on the propagation of Love waves has been studied in porous layer surface over a heterogeneous half-space. We have considered two types of boundary on free surfaces: (a) rigid boundary and (b) traction free boundary. The propagation of Love waves has been investigated under assumed media in both the cases of boundary and discusses a comparison study of two cases. The dispersion equations and phase velocities have been obtained in both the cases. The numerical calculations have been done and presented graphically. This study of Love waves in the assumed medium reveals that the presence of initial stress in the half-space and absence of initial stress in the layer, the displacement of phase velocity in rigid boundary is more than the traction free boundary.
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17

Purmonen, Veikko T. "Parbolic pseudo-differential initial-boundary value problems." MATHEMATICA SCANDINAVICA 65 (December 1, 1989): 221. http://dx.doi.org/10.7146/math.scand.a-12280.

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18

Radomirskaya, K. A. "Matching Spectral and Initial-Boundary Value Problems." Contemporary Mathematics. Fundamental Directions 63, no. 2 (December 15, 2017): 316–39. http://dx.doi.org/10.22363/2413-3639-2017-63-2-316-339.

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Based on the approach to abstract matching boundary-value problems introduced in [18], we consider matching spectral problems for one and two domains. We study in detail the arising operator pencil with self-adjoint operator coefficients. This pencil acts in a Hilbert space and depends on two parameters. Both possible cases are considered, where one parameter is spectral and the other is fixed, and properties of solutions are obtained depending on this. Also we study initial-boundary value problems of mathematical physics generating matching problems. We prove theorems on unique solvability of a strong solution ranging in the corresponding Hilbert space.
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19

Friedlander, F. G. "INITIAL BOUNDARY VALUE PROBLEMS IN MATHEMATICAL PHYSICS." Bulletin of the London Mathematical Society 19, no. 2 (March 1987): 205. http://dx.doi.org/10.1112/blms/19.2.205.

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20

MUCCINO, JULIA C., and ANDREW F. BENNETT. "Initial-boundary compatibility for inverse regional models." Tellus A 56, no. 2 (March 2004): 141–53. http://dx.doi.org/10.1111/j.1600-0870.2004.00051.x.

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21

Andreev, V. K. "On an adjoint initial-boundary value problem." Differential Equations 44, no. 12 (December 2008): 1730–36. http://dx.doi.org/10.1134/s0012266108120094.

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22

Muccino, Julia C., and Andrew F. Bennett. "Initial-boundary compatibility for inverse regional models." Tellus A: Dynamic Meteorology and Oceanography 56, no. 2 (January 2004): 141–53. http://dx.doi.org/10.3402/tellusa.v56i2.14405.

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23

Frid, Hermano. "Initial-Boundary Value Problems for Conservation Laws." Journal of Differential Equations 128, no. 1 (June 1996): 1–45. http://dx.doi.org/10.1006/jdeq.1996.0087.

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24

Galaktionov, V. A., and S. I. Pohozaev. "Blowup for nonlinear initial-boundary value problems." Doklady Mathematics 75, no. 1 (February 2007): 76–79. http://dx.doi.org/10.1134/s1064562407010218.

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25

Griffel, D. H. "Initial Boundary Value Problems in Mathematical Physics." Physics Bulletin 37, no. 10 (October 1986): 427. http://dx.doi.org/10.1088/0031-9112/37/10/027.

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26

Fokas, A. S., and A. R. Its. "Soliton generation for initial-boundary-value problems." Physical Review Letters 68, no. 21 (May 25, 1992): 3117–20. http://dx.doi.org/10.1103/physrevlett.68.3117.

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27

Takhirov, Jozil O., and Rasul N. Turaev. "The free boundary problem without initial condition." Journal of Mathematical Sciences 187, no. 1 (October 19, 2012): 86–100. http://dx.doi.org/10.1007/s10958-012-1052-4.

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28

Kan, Pui Tak, Marcelo M. Santos, and Zhouping Xin. "Initial Boundary Value Problem for Conservation Laws." Communications in Mathematical Physics 186, no. 3 (July 16, 1997): 701–30. http://dx.doi.org/10.1007/s002200050125.

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29

Ivatek-Sahdan, Stjepan, and Branka Ivancan-Picek. "Effects of different initial and boundary conditions in ALADIN/HR simulations during MAP IOPs." Meteorologische Zeitschrift 15, no. 2 (April 27, 2006): 187–97. http://dx.doi.org/10.1127/0941-2948/2006/0117.

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30

SMITH, DAVID A. "Well-posed two-point initial-boundary value problems with arbitrary boundary conditions." Mathematical Proceedings of the Cambridge Philosophical Society 152, no. 3 (December 12, 2011): 473–96. http://dx.doi.org/10.1017/s030500411100082x.

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AbstractWe study initial-boundary value problems for linear evolution equations of arbitrary spatial order, subject to arbitrary linear boundary conditions and posed on a rectangular 1-space, 1-time domain. We give a new characterisation of the boundary conditions that specify well-posed problems using Fokas' transform method. We also give a sufficient condition guaranteeing that the solution can be represented using a series.The relevant condition, the analyticity at infinity of certain meromorphic functions within particular sectors, is significantly more concrete and easier to test than the previous criterion, based on the existence of admissible functions.
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31

Keller, Joseph B., and Hans F. Weinberger. "Boundary and initial boundary-value problems for separable backward–forward parabolic problems." Journal of Mathematical Physics 38, no. 8 (August 1997): 4343–53. http://dx.doi.org/10.1063/1.532097.

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32

Morando, Alessandro, and Paola Trebeschi. "Weakly well posed hyperbolic initial-boundary value problems with non characteristic boundary." Methods and Applications of Analysis 20, no. 1 (2013): 1–32. http://dx.doi.org/10.4310/maa.2013.v20.n1.a1.

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33

Amodio, Pierluigi, and Felice Iavernaro. "Symmetric Boundary Value Methods for Second Order Initial and Boundary Value Problems." Mediterranean Journal of Mathematics 3, no. 3-4 (November 2006): 383–98. http://dx.doi.org/10.1007/s00009-006-0085-7.

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34

Chen, Shuxing. "Initial boundary value problems for quasilinear symmetric hyperbolic systems with characteristic boundary." Frontiers of Mathematics in China 2, no. 1 (March 2007): 87–102. http://dx.doi.org/10.1007/s11464-007-0006-5.

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35

Котов and P. Kotov. "THE METHOD OF REAL BOUNDARY PROBLEMS DEVELOPING THE REAL BOUNDARY CONDITIONS." Modeling of systems and processes 9, no. 1 (September 23, 2016): 11–13. http://dx.doi.org/10.12737/21619.

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An efficient solution to the real equation of heat transfer with deterministic disturbance and informative method of the basic initial-boundary value problems for the unsteady heat propagation with measurable initial and boundary conditions.
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36

Katunský, Dušan, Marek Zozulák, Marián Vertaľ, and Jozef Šimiček. "Experimentally Measured Boundary and Initial Conditions for Simulations." Advanced Materials Research 1041 (October 2014): 293–96. http://dx.doi.org/10.4028/www.scientific.net/amr.1041.293.

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Real dynamic boundary conditions and initial condition has to be taken into an account when simulations need to be done. The most helpful are in situ measurement facilities with climate monitoring. Indoor environment operation modes with different air temperature and relative humidity made indoor boundary conditions. Measured weather data are used to create complete boundary conditions for the research locality. Initial condition of masonry water profile is set up. The initial and boundary conditions are considered for an individual locality simulation proposes.
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37

Zeng, Yi, and Yousong Luo. "Linear parabolic equations with venttsel initial boundary conditions." Bulletin of the Australian Mathematical Society 50, no. 3 (December 1994): 465–79. http://dx.doi.org/10.1017/s0004972700013587.

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The Schauder estimates for solutions of linear second order parabolic equations with Venttsel initial boundary conditions are proved, and existence and uniqueness of classical solutions under such an initial boundary condition are established. An application to an engineering problem is also given.
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38

Krasnoschok, M. V. "Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion." Zurnal matematiceskoj fiziki, analiza, geometrii 12, no. 1 (March 25, 2016): 48–77. http://dx.doi.org/10.15407/mag12.01.048.

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39

Ebell, Kerstin, Susanne Bachner, Alice Kapala, and Clemens Simmer. "Sensitivity of summer precipitation simulated by the CLM with respect to initial and boundary conditions." Meteorologische Zeitschrift 17, no. 4 (August 25, 2008): 421–31. http://dx.doi.org/10.1127/0941-2948/2008/0305.

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40

Aldhlki T. Jassim. "Symmetry for Initial Boundary Value Problems of PDEs." journal of the college of basic education 25, no. 105 (December 1, 2019): 178–94. http://dx.doi.org/10.35950/cbej.v25i105.4762.

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In this paper, we discuss the reduction of IBVP by using the definition of Bluman or Ibragimov. Moreover, some examples that explain this definition for linear and nonlinear heat equation, are given. Next, we will give some restrictions on the Lie symmetry, which make the initial-boundary conditions are invariant. Finally, we find an initial condition which need not to be left invariant by a Lie symmetry in order to find an invariant solution, which satisfies that initial condition
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41

Fedorov, Alexander, and Anatoli Tumin. "Initial-Value Problem for Hypersonic Boundary-Layer Flows." AIAA Journal 41, no. 3 (March 2003): 379–89. http://dx.doi.org/10.2514/2.1988.

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42

Elmahi, A., and D. Meskine. "Parabolic initial-boundary value problems in Orlicz spaces." Annales Polonici Mathematici 85, no. 2 (2005): 99–119. http://dx.doi.org/10.4064/ap85-2-1.

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43

Grindrod, P. "Initial boundary value problems for coupled nerve fibres." Proceedings of the Edinburgh Mathematical Society 28, no. 2 (June 1985): 249–69. http://dx.doi.org/10.1017/s0013091500022689.

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In this paper we analyse the electrical behaviour within systems of long and short coupled nerve axons by using a geometric approach to obtain a priori bounds on solutions. In [4[ we developed a general model for a bundle of n-uniform unmylinated nerve fibres. If FitzHugh-Nagumo dynamics, [3[ are used to describe the ionic membrane currents, then the model takes the formHere W=(w1,…wn)T denotes the membrane action potentials for each fibre in the bundle and Z=(Z1,…Zn)T represents the recovery variables for each fibre, which control the return to the resting equilibrium after any transmission of signals.
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44

Molabahrami, Ahmad, Abdullah Shidfar, and Lassi Paivarinta. "Collocation-homotopy method to initial-boundary value problems." Journal of Interpolation and Approximation in Scientific Computing 2013 (2013): 1–11. http://dx.doi.org/10.5899/2013/jiasc-00019.

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45

REULA, OSCAR, and OLIVIER SARBACH. "THE INITIAL-BOUNDARY VALUE PROBLEM IN GENERAL RELATIVITY." International Journal of Modern Physics D 20, no. 05 (May 20, 2011): 767–83. http://dx.doi.org/10.1142/s0218271811019116.

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46

Takeno, Shigeharu. "Initial boundary value problems for isentropic gas dynamics." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 120, no. 1-2 (1992): 1–23. http://dx.doi.org/10.1017/s0308210500014955.

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SynopsisFor piston problems for a system of isentropic gas dynamics, convergence theorems of a difference scheme are obtained by compensated compactness theory and by analysis of the difference scheme.
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47

Shujun, You, Guo Boling, and Ning Xiaoqi. "Initial boundary value problem for modified Zakharov equations." Acta Mathematica Scientia 32, no. 4 (July 2012): 1455–66. http://dx.doi.org/10.1016/s0252-9602(12)60115-5.

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48

Coulombel, Jean-François. "Well-posedness of hyperbolic initial boundary value problems." Journal de Mathématiques Pures et Appliquées 84, no. 6 (June 2005): 786–818. http://dx.doi.org/10.1016/j.matpur.2004.10.005.

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49

Vay, J. L. "Solution of elliptic equations without initial boundary values." IEEE Transactions on Magnetics 34, no. 5 (1998): 2517–20. http://dx.doi.org/10.1109/20.717580.

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50

Meric, R. A. "Optimal Boundary Tractions for Solids With Initial Strains." Journal of Applied Mechanics 52, no. 2 (June 1, 1985): 363–67. http://dx.doi.org/10.1115/1.3169054.

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Optimal boundary loading of solids with initial strains has been analyzed as a steady-state optimal control problem. Discretization of the optimality conditions, obtained by calculus of variations, is achieved by the finite element method, while the minimization of a performance index is done via the conjugate gradient method. Numerical results are provided for two plane strain problems with initial thermal strains.
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