On the existence of weak solutions to the equations of steady flow of heat-conducting fluids with dissipative heating

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2011.11.018 ◽

2012 ◽

Vol 13 (4) ◽

pp. 1600-1620 ◽

Author(s):

Joachim Naumann ◽

Milan Pokorný ◽

Jörg Wolf

Keyword(s):

Steady Flow ◽

Weak Solutions ◽

Dissipative Heating ◽

Heat Conducting ◽

Existence Of Weak Solutions ◽

Heat Conducting Fluids ◽

Conducting Fluids

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On the existence of global weak solutions to the Navier–Stokes equations for viscous compressible and heat conducting fluids

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2006.11.001 ◽

2007 ◽

Vol 87 (1) ◽

pp. 57-90 ◽

Author(s):

Didier Bresch ◽

Benoît Desjardins

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Heat Conducting ◽

Global Weak Solutions ◽

Navier Stokes Equations ◽

Heat Conducting Fluids ◽

Conducting Fluids

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Asymptotic analysis of compressible, viscous and heat conducting fluids

Nonlinear Dynamics in Partial Differential Equations ◽

10.2969/aspm/06410001 ◽

2019 ◽

Author(s):

Eduard Feireisl

Keyword(s):

Asymptotic Analysis ◽

Heat Conducting ◽

Heat Conducting Fluids ◽

Conducting Fluids

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Weak and Variational Solutions to Steady Equations for Compressible Heat Conducting Fluids

SIAM Journal on Mathematical Analysis ◽

10.1137/100799393 ◽

2011 ◽

Vol 43 (3) ◽

pp. 1158-1188 ◽

Author(s):

Antonín Novotný ◽

Milan Pokorný

Keyword(s):

Heat Conducting ◽

Variational Solutions ◽

Heat Conducting Fluids ◽

Conducting Fluids

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Solubility of a stationary boundary-value problem for the equations of motion of a one-temperature mixture of viscous compressible heat-conducting fluids

Izvestiya Mathematics ◽

10.1070/im2014v078n03abeh002698 ◽

2014 ◽

Vol 78 (3) ◽

pp. 554-579 ◽

Author(s):

A E Mamontov ◽

D A Prokudin

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Equations Of Motion ◽

Heat Conducting ◽

Stationary Boundary ◽

Heat Conducting Fluids ◽

Conducting Fluids

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Existence of Weak Solutions to the Equations of Natural Convection with Dissipative Heating

Advances in Mathematical Fluid Mechanics ◽

10.1007/978-3-642-04068-9_23 ◽

2009 ◽

pp. 367-384 ◽

Author(s):

Joachim Naumann ◽

Jörg Wolf

Keyword(s):

Natural Convection ◽

Weak Solutions ◽

Dissipative Heating ◽

Existence Of Weak Solutions

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The Steady Equations for Heat-Conducting Fluids

10.1007/978-3-030-78659-5_9 ◽

2021 ◽

pp. 285-319

Author(s):

Tujin Kim ◽

Daomin Cao

Keyword(s):

Heat Conducting ◽

Heat Conducting Fluids ◽

Conducting Fluids

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Global Classical Large Solutions to Navier--Stokes Equations for Viscous Compressible and Heat-Conducting Fluids with Vacuum

SIAM Journal on Mathematical Analysis ◽

10.1137/120877829 ◽

2013 ◽

Vol 45 (2) ◽

pp. 431-468 ◽

Author(s):

Huanyao Wen ◽

Changjiang Zhu

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Heat Conducting ◽

Navier Stokes Equations ◽

Large Solutions ◽

Heat Conducting Fluids ◽

Conducting Fluids

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Mixed boundary value problems of the system for steady flow of heat-conducting incompressible viscous fluids with dissipative heating

Methods and Applications of Analysis ◽

10.4310/maa.2020.v27.n2.a1 ◽

2020 ◽

Vol 27 (2) ◽

pp. 87-124

Author(s):

Tujin Kim ◽

Daomin Cao

Keyword(s):

Boundary Value Problems ◽

Steady Flow ◽

Mixed Boundary ◽

Boundary Value ◽

Dissipative Heating ◽

Viscous Fluids ◽

Heat Conducting ◽

Mixed Boundary Value Problems ◽

Incompressible Viscous Fluids

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Unconditional Stability of Stationary Flows of Compressible Heat-Conducting Fluids Driven by Large External Forces

Journal of Mathematical Fluid Mechanics ◽

10.1007/s000210050008 ◽

1999 ◽

Vol 1 (2) ◽

pp. 168-186 ◽

Author(s):

E. Feireisl ◽

H. Petzeltová

Keyword(s):

Unconditional Stability ◽

Heat Conducting ◽

Stationary Flows ◽

External Forces ◽

Heat Conducting Fluids ◽

Conducting Fluids

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On thermodynamics of non-simple heat-conducting fluids

Mechanics Research Communications ◽

10.1016/0093-6413(77)90073-8 ◽

1977 ◽

Vol 4 (3) ◽

pp. 151-156

Author(s):

Kolumban Hutter

Keyword(s):

Heat Conducting ◽

Heat Conducting Fluids ◽

Conducting Fluids

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