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Global regularity for generalized anisotropic Navier–Stokes equations
Journal of Mathematical Physics, 2010We consider the global Cauchy problem for the three-dimensional generalized anisotropic Navier–Stokes system with the viscosity term \documentclass[12pt]{minimal}\begin{document}$\Delta _h u-M^2u$\end{document}Δhu−M2u, where M is a Fourier multiplier whose symbol \documentclass[12pt]{minimal}\begin{document}$m:\mathbb {R}\rightarrow \mathbb {R}^+$\end ...
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Some remarks on the regularity of anisotropic variational problems
1993The author studies elliptic equations of the type \(\text{div}(a(x,u,Du))=\text{div}(g)\), \(u\in W^{1,(q_i)}_0(\Omega)\), and integral functionals of the calculus of variations of the form \(F(u)=\int_\Omega f(x,Du)dx\) when \(a\) or \(f\) satisfy the anisotropic coerciveness condition \(f(x,\xi)\geq m\sum^N_{i=1}|\xi_i|^{q_i}\).
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The Anisotropic Regularity Criteria for 3D Navier–Stokes Equations Involving One Velocity Component
Nonlinear Analysis: Real World Applications, 2020Chenyin Qian
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Anosov Diffeomorphisms, Anisotropic BV Spaces and Regularity of Foliations
Ergodic Theory and Dynamical Systems, 2022Carlangelo Liverani, Wael Bahsoun
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Nonlocal regularization of anisotropic sand models
2022Zhiwei Gao, Xin Li, Dechun Lu
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Local Regularity for Solutions of Anisotropic Obstacle Problems
Nonlinear Analysis: Theory, Methods & Applications, 2012Hongya Gao
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The Anisotropic Integrability Regularity Criterion to 3D Magnetohydrodynamics Equations
Mathematical Methods in the Applied Sciences, 2017Chenyin Qian
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