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 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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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 ◽

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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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 ◽

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 ◽

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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Existence of weak solutions for the Navier-Stokes equations with initial data in $L\sp p$

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1990-0968416-0 ◽

1990 ◽

Vol 318 (1) ◽

pp. 179-200 ◽

Author(s):

Calixto P. Calderón

Keyword(s):

Initial Data ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions

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Addendum to the paper: ‘‘Existence of weak solutions for the Navier-Stokes equations with initial data in $L\sp p$” [Trans.\ Amer.\ Math.\ Soc.\ {\bf 318} (1990), no.\ 1, 179–200; MR0968416 (90k:35199)]

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1990-1018571-1 ◽

1990 ◽

Vol 318 (1) ◽

pp. 201-207 ◽

Author(s):

Calixto P. Calderón

Keyword(s):

Initial Data ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions

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Existence of weak solutions for the generalized Navier–Stokes equations with damping

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-012-0180-3 ◽

2012 ◽

Vol 20 (3) ◽

pp. 797-824 ◽

Author(s):

H. B. de Oliveira

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 for any specific heat ratio $\gamma>1$

Nonlinear Dynamics in Partial Differential Equations ◽

10.2969/aspm/06410101 ◽

2019 ◽

Author(s):

Song Jiang

Keyword(s):

Specific Heat ◽

Weak Solutions ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions ◽

Specific Heat Ratio

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On the existence of weak solutions to non-local Cahn–Hilliard/Navier–Stokes equations and its local asymptotics

Communications in Mathematical Sciences ◽

10.4310/cms.2020.v18.n8.a2 ◽

2020 ◽

Vol 18 (8) ◽

pp. 2121-2147

Author(s):

Zhilei Liang

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions ◽

Local Asymptotics ◽

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DENSITY DEPENDENT STOCHASTIC NAVIER–STOKES EQUATIONS WITH NON-LIPSCHITZ RANDOM FORCING

Reviews in Mathematical Physics ◽

10.1142/s0129055x10004041 ◽

2010 ◽

Vol 22 (06) ◽

pp. 669-697 ◽

Author(s):

MAMADOU SANGO

Keyword(s):

Weak Solution ◽

Weak Solutions ◽

Stokes Equations ◽

Initial Density ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions ◽

Density Dependent ◽

Random Forcing ◽

Suitable Notion

In this work, we investigate the question of existence of weak solutions to the density dependent stochastic Navier–Stokes equations. The noise considered contains functions which depend nonlinearly on the velocity and which do not satisfy the Lipschitz condition. Furthermore, the initial density is allowed to vanish. We introduce a suitable notion of probabilistic weak solution for the problem and prove its existence.

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