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

Scott A. Smith; Konstantina Trivisa

doi:10.1007/s00028-017-0407-1

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 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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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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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 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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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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Global weak solutions to the two-dimensional Navier-Stokes equations of compressible heat-conducting flows with symmetric data and forces

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2014.34.567 ◽

2013 ◽

Vol 34 (2) ◽

pp. 567-587 ◽

Cited By ~ 1

Author(s):

Junpin Yin ◽

Song Jiang ◽

Fei Jiang

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Heat Conducting ◽

Two Dimensional ◽

Global Weak Solutions ◽

Navier Stokes Equations

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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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Navier-stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case

Communications in Mathematical Physics ◽

10.1007/bf01206939 ◽

1986 ◽

Vol 103 (2) ◽

pp. 259-296 ◽

Cited By ~ 164

Author(s):

Alberto Valli ◽

Wojciech M. Zajaczkowski

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Compressible Fluids ◽

Navier Stokes ◽

Qualitative Properties ◽

Navier Stokes Equations

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