Global strong solution to the initial-boundary value problem of a 2-D Kazhikhov-Smagulov type model

DOI10.3934/dcdss.2014.7.917zbMath1304.35532OpenAlexW2316577944MaRDI QIDQ478878

Yongzhong Sun, Xiaoyun Cai, Liang-Wen Liao

Publication date: 5 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2014.7.917

zbMATH Keywords

initial-boundary value problemwell-posednessmass diffusionglobal regularityKazhikhov-Smagulov model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Strong solutions to PDEs (35D35)

Related Items (4)

Global existence of strong solutions and Serrin-type blowup criterion for 3D combustion model in bounded domains ⋮ Stability and convergence of an hybrid finite volume-finite element method for a multiphasic incompressible fluid model ⋮ Unconditionally optimal error analysis of a linear Euler FEM scheme for the Navier-Stokes equations with mass diffusion ⋮ Stabilization of 2-D Mindlin-Timoshenko plates with localized acoustic boundary feedback

Cites Work

• Global regularity for the initial value problem of a 2-D Kazhikhov-Smagulov type model
• Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity
• Compressible fluid flow and systems of conservation laws in several space variables
• Global regularity for the initial-boundary value problem of the 2-D Boussinesq system with variable viscosity and thermal diffusivity
• Effect of density dependent viscosities on multiphasic incompressible fluid models
• On the reactive and non-diffusive equations for zero mach number flow
• Well-posedness of the nonlinear equations for zero mach number combustion
• On the Motion of Viscous Fluids in the Presence of Diffusion
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