On the Global Existence of Weak Solutions for the Navier–Stokes Equations of Compressible Fluid Flows

Mikhail Perepelitsa

doi:10.1137/040619119

On the Global Existence of Weak Solutions for the Navier–Stokes Equations of Compressible Fluid Flows

SIAM Journal on Mathematical Analysis ◽

10.1137/040619119 ◽

2006 ◽

Vol 38 (4) ◽

pp. 1126-1153 ◽

Cited By ~ 11

Author(s):

Mikhail Perepelitsa

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Compressible Fluid ◽

Stokes Equations ◽

Fluid Flows ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions ◽

Compressible Fluid Flows

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Global existence of weak solutions to the compressible quantum Navier-Stokes equations with degenerate viscosity

Journal of Mathematical Physics ◽

10.1063/1.5127797 ◽

2019 ◽

Vol 60 (12) ◽

pp. 121502

Author(s):

Boqiang Lü ◽

Rong Zhang ◽

Xin Zhong

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions ◽

Degenerate Viscosity

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A remark on the global existence of weak solutions to the compressible quantum Navier–Stokes equations

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.07.009 ◽

2019 ◽

Vol 45 ◽

pp. 255-261 ◽

Cited By ~ 1

Author(s):

Tong Tang ◽

Zujin Zhang

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions

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Global existence of weak solutions for the Navier–Stokes equations with capillarity on the half-line

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-011-0104-7 ◽

2011 ◽

Vol 18 (4) ◽

pp. 459-481 ◽

Cited By ~ 1

Author(s):

Zhong Tan ◽

Rongcong Guo

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Stokes Equations ◽

Half Line ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions

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Ultimate Boundedness, Propagation of Oscillations, and the Long-time Behaviour of Solutions to the Navier-Stokes Equations of Compressible Fluid Flows

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-0348-8370-2_37 ◽

2001 ◽

pp. 357-362

Author(s):

Eduard Feireisl

Keyword(s):

Compressible Fluid ◽

Stokes Equations ◽

Fluid Flows ◽

Navier Stokes ◽

Time Behaviour ◽

Ultimate Boundedness ◽

Navier Stokes Equations ◽

Long Time Behaviour ◽

Long Time ◽

Compressible Fluid Flows

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Global existence of weak solutions for compressible Navier--Stokes equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor

Annals of Mathematics ◽

10.4007/annals.2018.188.2.4 ◽

2018 ◽

Vol 188 (2) ◽

pp. 577-684 ◽

Cited By ~ 17

Author(s):

Didier Bresch ◽

Pierre--Emmanuel Jabin

Keyword(s):

Global Existence ◽

Stress Tensor ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Viscous Stress ◽

Navier Stokes Equations ◽

Viscous Stress Tensor ◽

Existence Of Weak Solutions

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The stochastic Navier–Stokes equations for heat-conducting, compressible fluids: global existence of weak solutions

Journal of Evolution Equations ◽

10.1007/s00028-017-0407-1 ◽

2017 ◽

Vol 18 (2) ◽

pp. 411-465

Author(s):

Scott A. Smith ◽

Konstantina Trivisa

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Stokes Equations ◽

Compressible Fluids ◽

Navier Stokes ◽

Heat Conducting ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions

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Global existence of weak solutions for the 3D chemotaxis-Navier–Stokes equations

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2016.11.006 ◽

2017 ◽

Vol 35 ◽

pp. 336-349 ◽

Cited By ~ 4

Author(s):

Haibin He ◽

Qian Zhang

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions

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On global behavior of weak solutions to the Navier-Stokes equations of compressible fluid for γ = 5 / 3 $\gamma=5/3$

Boundary Value Problems ◽

10.1186/s13661-015-0443-0 ◽

2015 ◽

Vol 2015 (1) ◽

Cited By ~ 1

Author(s):

Xiaoying Wang ◽

Weiwei Wang

Keyword(s):

Weak Solutions ◽

Compressible Fluid ◽

Stokes Equations ◽

Navier Stokes ◽

Global Behavior ◽

Navier Stokes Equations

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Existence of weak solutions for inhomogeneous generalized Navier–Stokes equations

Nonlinear Analysis ◽

10.1016/j.na.2021.112538 ◽

2021 ◽

Vol 212 ◽

pp. 112538

Author(s):

Julius Jeßberger ◽

Michael Růžička

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions

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Existence of weak solutions to the three-dimensional steady compressible Navier–Stokes equations

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2011.02.008 ◽

2011 ◽

Vol 28 (4) ◽

pp. 485-498 ◽

Cited By ~ 27

Author(s):

Song Jiang ◽

Chunhui Zhou

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions

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