Unique solvability of compressible micropolar viscous fluids

DOI10.1186/1687-2770-2012-32zbMath1277.35285OpenAlexW2096849885WikidataQ59270918 ScholiaQ59270918MaRDI QIDQ370837

Mingtao Chen

Publication date: 20 September 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-32

zbMATH Keywords

strong solutionscompressible micropolar viscous fluidlocal existence and uniqueness

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (6)

Global existence and optimal convergence rates of solutions for 3D compressible magneto-micropolar fluid equations ⋮ A blowup criterion of the nonhomogeneous incompressible asymmetric fluids in weak \(L^p\)-spaces ⋮ A new blowup criterion for strong solutions of the three-dimensional isentropic compressible micropolar fluid ⋮ Regularity and uniqueness of global solutions for the 3D compressible micropolar fluids ⋮ Global classical solutions to the compressible micropolar viscous fluids with large oscillations and vacuum ⋮ Global existence for a class of large solution to the three-dimensional micropolar fluid equations with vacuum

Cites Work

• Existence results for viscous polytropic fluids with vacuum
• Ordinary differential equations, transport theory and Sobolev spaces
• Unique solvability of equations of motion for ferrofluids
• Global weak solutions to equations of motion for magnetic fluids
• An existence theorem for compressible viscous fluids
• A uniqueness theorem for compressible micropolar flows
• A note on the existence and uniqueness of solutions of the micropolar fluid equations
• Strong solutions of the Navier-Stokes equations for isentropic compressible fluids
• Global existence of strong solutions to the micro-polar, compressible flow with density-dependent viscosities
• Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations
• The Failure of Continuous Dependence on Initial data for the Navier–Stokes equations of Compressible Flow
• Global weak solutions to a ferrofluid flow model
• Existence of global strong solution to the micropolar fluid system in a bounded domain

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