Sharp well-posedness and ill-posedness for the 3-D micropolar fluid system in Fourier-Besov spaces

DOI10.1016/j.nonrwa.2018.09.022zbMath1412.35277arXiv1805.02853OpenAlexW2963675821MaRDI QIDQ1729232

Weipeng Zhu

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.02853

zbMATH Keywords

well-posednessill-posednessFourier-Besov spacesmicropolar fluid system

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Ill-posed problems for PDEs (35R25) General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Well-posedness and stability of solutions for the 3-D generalized micropolar system in Fourier-Besov-Morrey spaces ⋮ Well-posedness for the 3-D generalized micropolar fluid system in critical Fourier-Besov-Morrey spaces ⋮ Unnamed Item ⋮ A blow-up criterion of strong solutions to two-dimensional nonhomogeneous micropolar fluid equations with vacuum ⋮ Remark on mild solution to the 3D incompressible micropolar system in Fourier-Herz framework

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