A blow-up criterion of strong solutions to two-dimensional nonhomogeneous micropolar fluid equations with vacuum

DOI10.3934/dcdsb.2020115zbMath1464.35272OpenAlexW3014017541MaRDI QIDQ2026569

Xin Zhong

Publication date: 20 May 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.2020115

zbMATH Keywords

Cauchy problemstrong solutionsblow-up criterionnonhomogeneous 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) 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 (2)

Strong solutions for the Cauchy problem to three-dimensional nonhomogeneous incompressible micropolar fluid equations with vacuum ⋮ Singularity formation to the nonhomogeneous magneto-micropolar fluid equations

Cites Work

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• Global well-posedness and large-time decay for the 2D micropolar equations
• Global well-posedness for the micropolar fluid system in critical Besov spaces
• The zero limits of angular and micro-rotational viscosities for the two-dimensional micropolar fluid equations with boundary effect
• Global regularity of the 2D micropolar fluid flows with zero angular viscosity
• A note on the existence and uniqueness of solutions of the micropolar fluid equations
• Micropolar fluids. Theory and applications
• Global regularity for the 2D micropolar equations with fractional dissipation
• On the initial- and boundary-value problem for 2D micropolar equations with only angular velocity dissipation
• On the large time decay of global solutions for the micropolar dynamics in \(L^2(\mathbb{R}^n)\)
• Sharp well-posedness and ill-posedness for the 3-D micropolar fluid system in Fourier-Besov spaces
• Initial-boundary value problem for 2D micropolar equations without angular viscosity
• Large time existence of strong solutions to micropolar equations in cylindrical domains
• 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
• Remark on exponential decay-in-time of global strong solutions to 3D inhomogeneous incompressible micropolar equations
• Global regularity of 3D nonhomogeneous incompressible micropolar fluids
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Microcontinuum Field Theories

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