Weak solutions with improved regularity for the nonhomogeneous asymmetric fluids equations with vacuum

DOI10.1016/j.jmaa.2018.12.075zbMath1414.35145OpenAlexW2910489631WikidataQ128616506 ScholiaQ128616506MaRDI QIDQ1733805

F. W. Cruz, Eduardo G. Santos, Pablo Braz e Silva, Marko A. Rojas-Medar

Publication date: 21 March 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.12.075

zbMATH Keywords

vacuumexistenceweak solutionsasymmetric fluids

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

Related Items (9)

Global strong solution and exponential decay of 3D nonhomogeneous asymmetric fluid equations with vacuum ⋮ A blowup criterion of the nonhomogeneous incompressible asymmetric fluids in weak \(L^p\)-spaces ⋮ Global strong solution to the nonhomogeneous micropolar fluid equations with large initial data and vacuum ⋮ Strong solutions for the Cauchy problem to three-dimensional nonhomogeneous incompressible micropolar fluid equations with vacuum ⋮ Global strong solutions for variable density incompressible asymmetric fluids in thin domains ⋮ Error estimates for spectral semi-Galerkin approximations of incompressible asymmetric fluids with variable density ⋮ Global unique solvability of nonhomogeneous asymmetric fluids: a Lagrangian approach ⋮ Global well-posedness and exponential decay for 3D nonhomogeneous magneto-micropolar fluid equations with vacuum ⋮ Global existence and exponential decay of strong solutions for 2D nonhomogeneous micropolar fluids with density-dependent viscosity

Cites Work

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• Global weak solutions for variable density asymmetric incompressible fluids
• Vanishing viscosity for non-homogeneous asymmetric fluids in \(\mathbb R^3\)
• Global weak solutions for asymmetric incompressible fluids with variable density
• Functional analysis, Sobolev spaces and partial differential equations
• Lubrication theory for micropolar fluids and its application to a journal bearing
• Micropolar fluids. Theory and applications
• Semi-Galerkin approximation and strong solutions to the equations of the nonhomogeneous asymmetric fluids.
• Vanishing viscosity for non-homogeneous asymmetric fluids in \(\mathbb R^3\): the \(L^2\) case
• Semi-strong and strong solutions for variable density asymmetric fluids in unbounded domains
• Weak Solutions of an Initial Boundary Value Problem for an Incompressible Viscous Fluid with Nonnegative Density
• On Lubrication with Structured Fluids
• The equations of viscous incompressible non-homogeneous fluids: on the existence and regularity
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
• On non-stationary flows of incompressible asymmetric fluids
• The equations of non‐homogeneous asymmetric fluids: an iterative approach
• On the convergence rate of spectral approximation for the equations for nonhomogeneous asymmetric fluids
• Fluid Mechanical Aspects of Antisymmetric Stress

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