Suitable weak solutions to the micropolar fluids model in a bounded domain

DOI10.1016/j.jmaa.2021.125406zbMath1486.35350OpenAlexW3171453219MaRDI QIDQ2050872

Jingrui Su

Publication date: 1 September 2021

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.2021.125406

zbMATH Keywords

weak-strong uniquenesssuitable weak solutionscompressible micropolar fluids modelrelative entropy inequality

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Inviscid incompressible limit for compressible micro-polar fluids, On the compressible micropolar fluids in a time-dependent domain

Cites Work

• Unnamed Item
• Unnamed Item
• Weak-strong uniqueness for the isentropic compressible Navier-Stokes system
• Boundary regularity criteria for suitable weak solutions of the magnetohydrodynamic equations
• Interior condition on suitable weak solutions to the 3D MHD equations via pressure
• Incompressible limit of a compressible micropolar fluid model with general initial data
• Weak solutions to the equations of motion for compressible magnetic fluids
• A note on the existence and uniqueness of solutions of the micropolar fluid equations
• Micropolar fluids. Theory and applications
• Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law
• Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization
• New conditions for local regularity of a suitable weak solution to the Navier-Stokes equation
• Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
• Global well-posedness of the 2D incompressible micropolar fluid flows with partial viscosity and angular viscosity
• Existence of suitable weak solutions to the Navier-Stokes equations for intermittent data
• Weak-strong uniqueness for the Navier-Stokes equation for two fluids with surface tension
• On the Interior Regularity Criteria for Suitable Weak Solutions of the Magnetohydrodynamics Equations
• Suitable weak solutions to the Navier-Stokes equations of compressible viscous fluids
• 3-D flow of a compressible viscous micropolar fluid with cylindrical symmetry: uniqueness of a generalized solution
• On the suitable weak solutions for the Cauchy problem of the Boussinesq equations
• A shear flow problem for compressible viscous micropolar fluid: Uniqueness of a generalized solution
• Nonstationary Navier-Stokes equations
• The suitable weak solution for the Cauchy problem of the double-diffusive convection system
• On weak–strong uniqueness for the compressible Navier–Stokes system with non-monotone pressure law