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Asymptotic stability for $n$-dimensional isentropic compressible MHD equations without magnetic diffusion

Autor: Jiu, Quansen, Liu, Jitao, Xie, Yaowei

Whether the global well-posedness of strong solutions of $n$-dimensional compressible isentropic magnetohydrodynamic (MHD for short) equations without magnetic diffusion holds true or not remains an challenging open problem, even for the small initia

Externí odkaz: http://arxiv.org/abs/2402.09661

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Sharp decay estimates and asymptotic stability for incompressible MHD equations without viscosity or magnetic diffusion

Autor: Xie, Yaowei, Jiu, Quansen, Liu, Jitao

Whether the global existence and uniqueness of strong solutions of $n$-dimensional incompressible magnetohydrodynamic (MHD for short) equations with only kinematic viscosity or magnetic diffusion holds true or not remains an outstanding open problem.

Externí odkaz: http://arxiv.org/abs/2402.08913

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Initial-boundary value problem for 2D temperature-dependent tropical climate model

Autor: Liu, Jitao, Zhao, Yunxiao

It is well known that the tropical climate model is an important model to describe the interaction of large scale flow fields and precipitation in the tropical atmosphere. In this paper, we address the issue of global well-posedness for 2D temperatur

Externí odkaz: http://arxiv.org/abs/2307.15482

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Energy conservation of weak solutions for the incompressible Euler equations via vorticity

Autor: Liu, Jitao, Wang, Yanqing, Ye, Yulin

Motivated by the works of Cheskidov, Lopes Filho, Nussenzveig Lopes and Shvydkoy in [8, Commun. Math. Phys. 348: 129-143, 2016] and Chen and Yu in [5, J. Math. Pures Appl. 131: 1-16, 2019], we address how the $L^p$ control of vorticity could influenc

Externí odkaz: http://arxiv.org/abs/2208.06068

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