Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows

Journal of Differential Equations ◽

10.1016/j.jde.2005.08.012 ◽

2006 ◽

Vol 221 (2) ◽

pp. 275-308 ◽

Author(s):

Jing Li ◽

Zhouping Xin

Keyword(s):

Compressible Flows ◽

Strong Solutions ◽

Two Dimensional ◽

Uniform Estimates ◽

Stokes Approximation ◽

Global Strong Solutions

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Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data☆☆Partially supported by the National Natural Science Foundation of China under contracts 10471138, 10601059, and 10526039 (Tianyuan Jijin); NSFC–NSAF Grant No. 10676037; 973 project of China, Grant No. 2006CB805902; Zheng Ge Ru Funds, Grants from RGC of HKSAR CUHK4028/04P and CUHK4299/02P.

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2006.10.001 ◽

2006 ◽

Vol 86 (6) ◽

pp. 471-491 ◽

Author(s):

Feimin Huang ◽

Jing Li ◽

Zhouping Xin

Keyword(s):

Natural Science ◽

Compressible Flows ◽

Strong Solutions ◽

Two Dimensional ◽

Stokes Approximation ◽

Convergence To Equilibria ◽

Global Strong Solutions

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On the Stokes approximation equations for two-dimensional compressible flows

Kinetic and Related Models ◽

10.3934/krm.2013.6.205 ◽

2013 ◽

Vol 6 (1) ◽

pp. 205-218 ◽

Author(s):

Qing Yi ◽

Keyword(s):

Compressible Flows ◽

Two Dimensional ◽

Stokes Approximation

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Large-time Behavior of Solutions to the Stokes Approximation Equations for Two Dimensional Compressible Flows

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-005-0271-6 ◽

2005 ◽

Vol 21 (4) ◽

pp. 637-654 ◽

Author(s):

Zhen-hua Guo

Keyword(s):

Compressible Flows ◽

Large Time Behavior ◽

Time Behavior ◽

Two Dimensional ◽

Stokes Approximation

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Global Strong Solutions for the Two-Dimensional Motion of an Infinite Cylinder in a Viscous Fluid

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-003-0083-4 ◽

2004 ◽

Vol 6 (1) ◽

pp. 53-77 ◽

Author(s):

Tak�o Takahashi ◽

Marius Tucsnak

Keyword(s):

Viscous Fluid ◽

Strong Solutions ◽

Infinite Cylinder ◽

Two Dimensional ◽

Global Strong Solutions

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Global solutions to the cauchy problem of the stokes approximation equations for two-dimensional compressible flows

Communications in Partial Differential Equations ◽

10.1080/03605309808821376 ◽

1998 ◽

Vol 23 (5-6) ◽

pp. 985-1006 ◽

Author(s):

Lu Min ◽

Alexandre V. Kazhikhov ◽

Seiji Uka

Keyword(s):

Cauchy Problem ◽

Compressible Flows ◽

Global Solutions ◽

Two Dimensional ◽

Stokes Approximation ◽

The Cauchy Problem

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Global strong solutions to the two-dimensional full compressible Navier-Stokes equations with vacuum

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123459 ◽

2020 ◽

Vol 481 (1) ◽

pp. 123459

Author(s):

Zhaoyang Shang

Keyword(s):

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Global Strong Solutions

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Existence and blowup behavior of global strong solutions to the two-dimensional barotrpic compressible Navier–Stokes system with vacuum and large initial data

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2016.02.003 ◽

2016 ◽

Vol 106 (1) ◽

pp. 123-154 ◽

Author(s):

Xiangdi Huang ◽

Jing Li

Keyword(s):

Initial Data ◽

Stokes System ◽

Strong Solutions ◽

Navier Stokes ◽

Two Dimensional ◽

Large Initial Data ◽

Global Strong Solutions

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Global strong solutions of two-dimensional Navier–Stokes equations with nonlinear slip boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.04.001 ◽

2012 ◽

Vol 393 (1) ◽

pp. 1-13 ◽

Author(s):

Yuan Li ◽

Kaitai Li

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Two Dimensional ◽

Slip Boundary Conditions ◽

Navier Stokes Equations ◽

Slip Boundary ◽

Global Strong Solutions ◽

Nonlinear Slip Boundary Conditions

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Research on GPU parallel algorithm for direct numerical solution of two-dimensional compressible flows

The Journal of Supercomputing ◽

10.1007/s11227-021-03704-9 ◽

2021 ◽

Author(s):

Yongzhen Wang ◽

Xuefeng Yan ◽

Jun’an Zhang

Keyword(s):

Numerical Solution ◽

Parallel Algorithm ◽

Compressible Flows ◽

Two Dimensional ◽

Direct Numerical Solution

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Gas kinetic flux solver based high-order finite-volume method for simulation of two-dimensional compressible flows

Physical Review E ◽

10.1103/physreve.104.015305 ◽

2021 ◽

Vol 104 (1) ◽

Author(s):

L. M. Yang ◽

C. Shu ◽

Z. Chen ◽

Y. Y. Liu ◽

J. Wu ◽

...

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Compressible Flows ◽

Two Dimensional ◽

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