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Journal articles on the topic 'Navier'

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Author: Grafiati

Published: 4 June 2021

Last updated: 11 March 2023

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1

Amrouche, Chérif, and Ahmed Rejaiba. "Navier-Stokes equations with Navier boundary condition." Mathematical Methods in the Applied Sciences 39, no. 17 (February 16, 2015): 5091–112. http://dx.doi.org/10.1002/mma.3338.

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2

Acevedo Tapia, P., C. Amrouche, C. Conca, and A. Ghosh. "Stokes and Navier-Stokes equations with Navier boundary conditions." Journal of Differential Equations 285 (June 2021): 258–320. http://dx.doi.org/10.1016/j.jde.2021.02.045.

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3

Acevedo, Paul, Chérif Amrouche, Carlos Conca, and Amrita Ghosh. "Stokes and Navier–Stokes equations with Navier boundary condition." Comptes Rendus Mathematique 357, no. 2 (February 2019): 115–19. http://dx.doi.org/10.1016/j.crma.2018.12.002.

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4

Brenner, Howard. "Navier–Stokes revisited." Physica A: Statistical Mechanics and its Applications 349, no. 1-2 (April 2005): 60–132. http://dx.doi.org/10.1016/j.physa.2004.10.034.

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5

Brenner, Howard. "Beyond Navier–Stokes." International Journal of Engineering Science 54 (May 2012): 67–98. http://dx.doi.org/10.1016/j.ijengsci.2012.01.006.

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6

Chen, Ya-zhou, Qiao-lin He, Bin Huang, and Xiao-ding Shi. "Navier-Stokes/Allen-Cahn System with Generalized Navier Boundary Condition." Acta Mathematicae Applicatae Sinica, English Series 38, no. 1 (January 2022): 98–115. http://dx.doi.org/10.1007/s10255-022-1068-7.

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7

Russo, Antonio, and Alfonsina Tartaglione. "On the Navier problem for the stationary Navier–Stokes equations." Journal of Differential Equations 251, no. 9 (November 2011): 2387–408. http://dx.doi.org/10.1016/j.jde.2011.07.001.

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8

Bela Cruzeiro, Ana. "Navier-Stokes and stochastic Navier-Stokes equations via Lagrange multipliers." Journal of Geometric Mechanics 11, no. 4 (2019): 553–60. http://dx.doi.org/10.3934/jgm.2019027.

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9

Liao, Jie, and Xiao-Ping Wang. "Stability of an efficient Navier-Stokes solver with Navier boundary condition." Discrete & Continuous Dynamical Systems - B 17, no. 1 (2012): 153–71. http://dx.doi.org/10.3934/dcdsb.2012.17.153.

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10

Xiong, Linjie. "Incompressible Limit of isentropic Navier-Stokes equations with Navier-slip boundary." Kinetic & Related Models 11, no. 3 (2018): 469–90. http://dx.doi.org/10.3934/krm.2018021.

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11

Iftimie, Dragos, Genevieve Raugel, and George R. Sell. "Navier-Stokes equations in thin 3D domains with Navier boundary conditions." Indiana University Mathematics Journal 56, no. 3 (2007): 1083–156. http://dx.doi.org/10.1512/iumj.2007.56.2834.

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12

Ferreira, Lucas C. F., Gabriela Planas, and Elder J. Villamizar-Roa. "On the Nonhomogeneous Navier--Stokes System with Navier Friction Boundary Conditions." SIAM Journal on Mathematical Analysis 45, no. 4 (January 2013): 2576–95. http://dx.doi.org/10.1137/12089380x.

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13

Hoang, Luan T., and George R. Sell. "Navier–Stokes Equations with Navier Boundary Conditions for an Oceanic Model." Journal of Dynamics and Differential Equations 22, no. 3 (September 2010): 563–616. http://dx.doi.org/10.1007/s10884-010-9189-7.

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14

Masmoudi, Nader, and Frédéric Rousset. "Uniform Regularity for the Navier–Stokes Equation with Navier Boundary Condition." Archive for Rational Mechanics and Analysis 203, no. 2 (September 10, 2011): 529–75. http://dx.doi.org/10.1007/s00205-011-0456-5.

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15

Rannacher, Rolf. "Numerical analysis of the Navier-Stokes equations." Applications of Mathematics 38, no. 4 (1993): 361–80. http://dx.doi.org/10.21136/am.1993.104560.

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16

Ju, Qiangchang, and Jianjun Xu. "Zero-Mach limit of the compressible Navier–Stokes–Korteweg equations." Journal of Mathematical Physics 63, no. 11 (November 1, 2022): 111503. http://dx.doi.org/10.1063/5.0124119.

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We consider the Cauchy problem for the compressible Navier–Stokes–Korteweg system in three dimensions. Under the assumption of the global existence of strong solutions to incompressible Navier–Stokes equations, we demonstrate that the compressible Navier–Stokes–Korteweg system admits a global unique strong solution without smallness restrictions on initial data when the Mach number is sufficiently small. Furthermore, we derive the uniform convergence of strong solutions for compressible Navier–Stokes–Korteweg equations toward those for incompressible Navier–Stokes equations as long as the solution of the limiting system exists.

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17

Cholewa, Jan W., and Tomasz Dlotko. "Fractional Navier-Stokes equations." Discrete and Continuous Dynamical Systems - Series B 22, no. 5 (April 2017): 29. http://dx.doi.org/10.3934/dcdsb.2017149.

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18

Ramm, Alexander G. "The Navier--Stokes Problem." Synthesis Lectures on Mathematics and Statistics 13, no. 3 (April 5, 2021): 1–77. http://dx.doi.org/10.2200/s01087ed1v05y202104mas042.

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19

Ramm, Alexander G. "Navier-Stokes equations paradox." Reports on Mathematical Physics 88, no. 1 (August 2021): 41–45. http://dx.doi.org/10.1016/s0034-4877(21)00054-9.

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20

Reddy, M. H. Lakshminarayana, S. Kokou Dadzie, Raffaella Ocone, Matthew K. Borg, and Jason M. Reese. "Recasting Navier–Stokes equations." Journal of Physics Communications 3, no. 10 (October 17, 2019): 105009. http://dx.doi.org/10.1088/2399-6528/ab4b86.

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21

Bensoussan, A. "Stochastic Navier-Stokes Equations." Acta Applicandae Mathematicae 38, no. 3 (March 1995): 267–304. http://dx.doi.org/10.1007/bf00996149.

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22

Seiler, Ruedi. "Die Navier-Stokes-Gleichung." Elemente der Mathematik 57, no. 3 (August 2002): 109–14. http://dx.doi.org/10.1007/pl00000564.

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23

Fernández de Córdoba, P., J. Isidro, and J. Vázquez Molina. "Schroedinger vs. Navier–Stokes." Entropy 18, no. 1 (January 19, 2016): 34. http://dx.doi.org/10.3390/e18010034.

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24

Capiński, Marek, and Nigel Cutland. "Stochastic Navier-Stokes equations." Acta Applicandae Mathematicae 25, no. 1 (October 1991): 59–85. http://dx.doi.org/10.1007/bf00047665.

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25

Iftimie, Dragoş, and Gabriela Planas. "Inviscid limits for the Navier–Stokes equations with Navier friction boundary conditions." Nonlinearity 19, no. 4 (March 20, 2006): 899–918. http://dx.doi.org/10.1088/0951-7715/19/4/007.

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26

Lefter, Cătălin. "Feedback stabilization of 2D Navier–Stokes equations with Navier slip boundary conditions." Nonlinear Analysis: Theory, Methods & Applications 70, no. 1 (January 2009): 553–62. http://dx.doi.org/10.1016/j.na.2007.12.026.

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27

Li, Siran. "Geometric regularity criteria for incompressible Navier–Stokes equations with Navier boundary conditions." Nonlinear Analysis 188 (November 2019): 202–35. http://dx.doi.org/10.1016/j.na.2019.06.003.

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28

Hu, Changbing. "Navier–Stokes equations in 3D thin domains with Navier friction boundary condition." Journal of Differential Equations 236, no. 1 (May 2007): 133–63. http://dx.doi.org/10.1016/j.jde.2007.02.001.

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29

Amrouche, Chérif, and Ahmed Rejaiba. "Lp-theory for Stokes and Navier–Stokes equations with Navier boundary condition." Journal of Differential Equations 256, no. 4 (February 2014): 1515–47. http://dx.doi.org/10.1016/j.jde.2013.11.005.

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30

Yang, JianWei, and Shu Wang. "Convergence of compressible Navier-Stokes-Maxwell equations to incompressible Navier-Stokes equations." Science China Mathematics 57, no. 10 (February 28, 2014): 2153–62. http://dx.doi.org/10.1007/s11425-014-4792-4.

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31

Ding, Shijin, Quanrong Li, and Zhouping Xin. "Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions." Journal of Mathematical Fluid Mechanics 20, no. 2 (July 11, 2017): 603–29. http://dx.doi.org/10.1007/s00021-017-0337-2.

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32

Seok, Woochan, Sang Bong Lee, and Shin Hyung Rhee. "Computational simulation of turbulent flows around a marine propeller by solving the partially averaged Navier–Stokes equation." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 18 (May 9, 2019): 6357–66. http://dx.doi.org/10.1177/0954406219848021.

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This study concerns the characteristics of the partially averaged Navier–Stokes method for local flow analysis around a rotating propeller. Partially averaged Navier–Stokes, resolving crucial large-scale structures of turbulent flow at a given computational grid resolution, is a bridging turbulence closure model between the Reynolds-averaged Navier–Stokes equation and the direct numerical simulation. A detailed comparison between partially averaged Navier–Stokes and Reynolds-averaged Navier–Stokes models is made to achieve a better understanding of partially averaged Navier–Stokes characteristics for predicting the coherent structures in turbulent flow. The two-equation k-ω shear stress transport model and the seven-equation Reynolds stress model are selected for Reynolds-averaged Navier–Stokes computations. The problem of interest is the flow around a rotating KP505 propeller in open water conditions at an advance ratio of 0.7. Near the leading edge, the partially averaged Navier–Stokes results are similar to those of Reynolds stress model in terms of the vortical structures. Vorticity predicted by different turbulence models, however, shows significant differences. For a more detailed analysis, the velocity gradient constituting the vorticity is identified at the leading edge. It is proven that partially averaged Navier–Stokes is able to capture the anisotropic characteristics of the flow at the leading edge, where both the geometric and flow characteristics change abruptly.

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33

Lich, Tran Gia, Le Kim Luat, and Han Quoc Trinh. "Calculation of the pressure on the valves of a sluice." Vietnam Journal of Mechanics 19, no. 3 (September 30, 1997): 25–34. http://dx.doi.org/10.15625/0866-7136/10057.

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This paper is devoted to a numerical method for calculating the pressure on the vertical two-dimensional valve basing on Navier-Stokes equations. Numerical solutions at interior points are established by splitting Navie-Stokes unsteady two-dimensional equations into two unsteady one-dimensional equations. An implicit scheme is obtained and the solution for these equations is established by the double sweep method. The values at the boundary points are calculated by the method of characteristics.

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34

ANDRE, Jean-Claude, and Gerard DE MOOR. "Navier, un honnête homme de la mécanique, et les équations de Navier-Stokes." La Météorologie 8, no. 50 (2005): 51. http://dx.doi.org/10.4267/2042/34824.

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35

Ju, Qiangchang, Fucai Li, and Shu Wang. "Convergence of the Navier–Stokes–Poisson system to the incompressible Navier–Stokes equations." Journal of Mathematical Physics 49, no. 7 (July 2008): 073515. http://dx.doi.org/10.1063/1.2956495.

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36

Gie, Gung-Min, and James P. Kelliher. "Boundary layer analysis of the Navier–Stokes equations with generalized Navier boundary conditions." Journal of Differential Equations 253, no. 6 (September 2012): 1862–92. http://dx.doi.org/10.1016/j.jde.2012.06.008.

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37

Iftimie, Dragoş, and Franck Sueur. "Viscous boundary layers for the Navier–Stokes equations with the Navier slip conditions." Archive for Rational Mechanics and Analysis 199, no. 1 (April 20, 2010): 145–75. http://dx.doi.org/10.1007/s00205-010-0320-z.

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38

Akysh, A. Sh. "The Cauchy problem for the Navier-Stokes equations." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 98, no. 2 (June 30, 2020): 15–23. http://dx.doi.org/10.31489/2020m2/15-23.

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39

Cai, Jiaxi, Yihan Wang, and Shuonan Yu. "The Recent Progress and the State-of-art Applications of Navier Stokes Equation." Highlights in Science, Engineering and Technology 12 (August 26, 2022): 114–20. http://dx.doi.org/10.54097/hset.v12i.1413.

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Navier Stoke equation plays an important role in physics field to describe the movement of fluid. In description of movement of fluid, turbulent flow is difficult to describe because it cannot be predicted precisely for movement of every particle. In this paper, we present the basic information of Navier Stoke equation, history of developing Navier Stoke equation as well as solving method. In addition, the state-of-art applications in fluid mechanics are also demonstrated. Moreover, the limitation of Navier Stoke equation and its future prospect are proposed accordingly. These results shed light on guiding further exploration focusing on the fluid mechanics.

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40

Rezapour, Shahram, Brahim Tellab, Chernet Tuge Deressa, Sina Etemad, and Kamsing Nonlaopon. "H-U-Type Stability and Numerical Solutions for a Nonlinear Model of the Coupled Systems of Navier BVPs via the Generalized Differential Transform Method." Fractal and Fractional 5, no. 4 (October 13, 2021): 166. http://dx.doi.org/10.3390/fractalfract5040166.

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This paper is devoted to generalizing the standard system of Navier boundary value problems to a fractional system of coupled sequential Navier boundary value problems by using terms of the Caputo derivatives. In other words, for the first time, we design a multi-term fractional coupled system of Navier equations under the fractional boundary conditions. The existence theory is studied regarding solutions of the given coupled sequential Navier boundary problems via the Krasnoselskii’s fixed-point theorem on two nonlinear operators. Moreover, the Banach contraction principle is applied to investigate the uniqueness of solution. We then focus on the Hyers–Ulam-type stability of its solution. Furthermore, the approximate solutions of the proposed coupled fractional sequential Navier system are obtained via the generalized differential transform method. Lastly, the results of this research are supported by giving simulated examples.

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41

Hamouda, Makram, and Roger Temam. "Boundary Layers for the Navier–Stokes Equations. The Case of a Characteristic Boundary." gmj 15, no. 3 (September 2008): 517–30. http://dx.doi.org/10.1515/gmj.2008.517.

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Abstract We prove the existence of a strong corrector for the linearized incompressible Navier–Stokes solution on a domain with characteristic boundary. This case is different from the noncharacteristic case considered in [Hamouda and Temam, Some singular perturbation problems related to the Navier–Stokes equations: Springer Verlag, 2006] and somehow physically more relevant. More precisely, we show that the linearized Navier–Stokes solutions behave like the Euler solutions except in a thin region, close to the boundary, where a certain heat equation solution is added (the corrector). Here, the Navier–Stokes equations are considered in an infinite channel of but our results still hold for more general bounded domains.

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42

Ragusa, Maria Alessandra, and Veli B. Shakhmurov. "A Navier–Stokes-Type Problem with High-Order Elliptic Operator and Applications." Mathematics 8, no. 12 (December 21, 2020): 2256. http://dx.doi.org/10.3390/math8122256.

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The existence, uniqueness and uniformly Lp estimates for solutions of a high-order abstract Navier–Stokes problem on half space are derived. The equation involves an abstract operator in a Banach space E and small parameters. Since the Banach space E is arbitrary and A is a possible linear operator, by choosing spaces E and operators A, the existence, uniqueness and Lp estimates of solutions for numerous classes of Navier–Stokes type problems are obtained. In application, the existence, uniqueness and uniformly Lp estimates for the solution of the Wentzell–Robin-type mixed problem for the Navier–Stokes equation and mixed problem for degenerate Navier–Stokes equations are established.

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43

Cruzeiro, Ana Bela. "Stochastic Approaches to Deterministic Fluid Dynamics: A Selective Review." Water 12, no. 3 (March 19, 2020): 864. http://dx.doi.org/10.3390/w12030864.

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We present a stochastic Lagrangian view of fluid dynamics. The velocity solving the deterministic Navier–Stokes equation is regarded as a mean time derivative taken over stochastic Lagrangian paths and the equations of motion are critical points of an associated stochastic action functional involving the kinetic energy computed over random paths. Thus the deterministic Navier–Stokes equation is obtained via a variational principle. The pressure can be regarded as a Lagrange multiplier. The approach is based on Itô’s stochastic calculus. Different related probabilistic methods to study the Navier–Stokes equation are discussed. We also consider Navier–Stokes equations perturbed by random terms, which we derive by means of a variational principle.

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44

XU, KUN, and ZHAOLI GUO. "GENERALIZED GAS DYNAMIC EQUATIONS WITH MULTIPLE TRANSLATIONAL TEMPERATURES." Modern Physics Letters B 23, no. 03 (January 30, 2009): 237–40. http://dx.doi.org/10.1142/s0217984909018096.

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Based on a multiple stage BGK-type collision model and the Chapman–Enskog expansion, the corresponding macroscopic gas dynamics equations in three-dimensional space will be derived. The new gas dynamic equations have the same structure as the Navier–Stokes equations, but the stress strain relationship in the Navier–Stokes equations is replaced by an algebraic equation with temperature differences. In the continuum flow regime, the new gas dynamic equations automatically recover the standard Navier–Stokes equations. The current gas dynamic equations are natural extension of the Navier–Stokes equations to the near continuum flow regime and can be used for near continuum flow study.

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45

Kozachok, Alexandr. "Navier –Stokes First Exact Transformation." Universal Journal of Applied Mathematics 1, no. 3 (November 2013): 157–59. http://dx.doi.org/10.13189/ujam.2013.010301.

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46

Kozachok, Alexandr. "Navier –Stokes Second Exact Transformation." Universal Journal of Applied Mathematics 2, no. 3 (March 2014): 136–40. http://dx.doi.org/10.13189/ujam.2014.020303.

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47

Vyskrebtsov, V. G. "Integration of Navier-Stokes equations." Izvestiya MGTU MAMI 8, no. 2-4 (July 20, 2014): 23–31. http://dx.doi.org/10.17816/2074-0530-67399.

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The author considers the integration of the motion equations of a Newtonian fluid (Navier-Stokes equations) in vector form, taking into consideration a separation of vector Navier-Stokes equation on the two equations containing separately linear and quadratic terms. On this basis, the paper demonstrates the possibility of integration of separated motion equations of an incompressible viscous fluid, which is determined in a greater extent by the characteristics of flow: boundary conditions, axisymmetric, nonaxisymmetric flow and others.

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48

Cusack, Paul T. E. "Navier-Stokes Equation: A Solution." International Journal of Cosmology, Astronomy and Astrophysics 1, no. 1 (January 7, 2019): 7–8. http://dx.doi.org/10.18689/ijcaa-1000103.

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49

Ramm, Alexander G. "On the Navier-Stokes problem." JOURNAL OF ADVANCES IN MATHEMATICS 16 (January 31, 2019): 8262–66. http://dx.doi.org/10.24297/jam.v16i0.8088.

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50

Ramm, Alexander G. "Concerning the Navier-Stokes problem." Open Journal of Mathematical Analysis 4, no. 2 (August 31, 2020): 89–92. http://dx.doi.org/10.30538/psrp-oma2020.0066.

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