Global regularity criterion for the dissipative systems modelling electrohydrodynamics involving the middle eigenvalue of the strain tensor

Wu Fan

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Global regularity criterion for the dissipative systems modelling electrohydrodynamics involving the middle eigenvalue of the strain tensor

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摘要

In this paper, we study a dissipative systems modelling electrohydrodynamics in incompressible viscous fluids. The system consists of the Navier-Stokes equations coupled with a classical Poisson-Nernst-Planck equations. In the three-dimensional case, we establish a global regularity criteria in terms of the middle eigenvalue of the strain tensor in the framework of the anisotropic Lorentz spaces for local smooth solution. The proof relies on the identity for entropy growth introduced by Miller in the Arch. Ration. Mech. Anal. 16.

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《Proceedings of the Royal Society of Edinburgh, Section A. Mathematics》 |2022年第5期|1277-1290|共14页
作者
Wu Fan;
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作者单位

Hunan Normal Univ;

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正文语种英语
中图分类数学;
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Navier-Stokes/Poisson-Nernst-Planck system; global regularity criteria; anisotropic Lorentz spaces; NAVIER-STOKES EQUATIONS; ONE-COMPONENT REGULARITY; WEAK SOLUTIONS; WELL-POSEDNESS; BLOW-UP; DEFORMATION;

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Global regularity criterion for the dissipative systems modelling electrohydrodynamics involving the middle eigenvalue of the strain tensor

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