Singularity formation to the nonhomogeneous magneto-micropolar fluid equations

DOI10.3934/dcdsb.2021021zbMath1479.35706OpenAlexW3120745500MaRDI QIDQ2056201

Xin Zhong

Publication date: 1 December 2021

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2021021

zbMATH Keywords

Cauchy problemstrong solutionssingularity formationnonhomogeneous magneto-micropolar fluid equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) General theory of rotating fluids (76U05) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35)

Related Items (3)

Optimal decay rates for higher-order derivatives of solutions to the 3D magneto-micropolar fluid equations ⋮ Global well-posedness for 2D nonhomogeneous asymmetric fluids with magnetic field and density-dependent viscosity ⋮ Global well-posedness to the nonhomogeneous magneto-micropolar fluid equations with large initial data and vacuum

Cites Work

• Global well-posedness of 3D magneto-micropolar fluid equations with mixed partial viscosity
• Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular viscosity
• Global regularity for 2D magneto-micropolar equations with only micro-rotational velocity dissipation and magnetic diffusion
• Micropolar fluids. Theory and applications
• Regularity results for two-dimensional flows of multiphase viscous fluids
• Large deviation principle for the micropolar, magneto-micropolar fluid systems
• On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity
• Global existence and decay estimate of solutions to magneto-micropolar fluid equations
• Universal stability of magneto-micropolar fluid motions
• Large time decay of solutions for the 3D magneto-micropolar equations
• A blow-up criterion of strong solutions to two-dimensional nonhomogeneous micropolar fluid equations with vacuum
• Global existence and exponential decay of strong solutions of nonhomogeneous magneto-micropolar fluid equations with large initial data and vacuum
• Global regularity of 3D nonhomogeneous incompressible magneto-micropolar system with the density-dependent viscosity
• Local strong solution and blow-up criterion for the 2D nonhomogeneous incompressible fluids
• Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum
• Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent magnetohydrodynamic equations with vacuum
• Exponential stability for magneto-micropolar fluids
• Blow-up criterion for two-dimensional magneto-micropolar fluid equations with partial viscosity
• Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Magneto‐Micropolar Fluid Motion: On the Convergence Rate of the Spectral Galerkin Approximations
• Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
• Local strong solutions to the Cauchy problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density
• Unnamed Item
• Unnamed Item

This page was built for publication: Singularity formation to the nonhomogeneous magneto-micropolar fluid equations