Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Li, Mengni"'
Autor:
Li, Mengni, Li, You
The Monge-Amp\`ere type equations over bounded convex domains arise in a host of geometric applications. In this paper, we focus on the Dirichlet problem for a class of Monge-Amp\`ere type equations, which can be degenerate or singular near the bound
Externí odkaz:
http://arxiv.org/abs/2307.15957
Autor:
Li, Mengni
The purpose of this paper is to solve the inverse scattering problem of nonlinear Alfv\'en waves governed by the three dimensional ideal incompressible MHD system. Bridging together geometric methods and weighted energy estimates, we establish a coup
Externí odkaz:
http://arxiv.org/abs/2212.02824
In this paper, we consider a kind of $k$-Hessian type equations $S_k^{\frac{1}{k}}(D^2u+\mu|D u|I)= f(u)$ in $\mathbb{R}^n$, and provide a necessary and sufficient condition of $f$ on the existence and nonexistence of entire admissible subsolutions,
Externí odkaz:
http://arxiv.org/abs/2208.11103
Autor:
Li, Mengni, Li, You
Publikováno v:
In Journal of Differential Equations 15 January 2025 415:202-234
Autor:
Li, Mengni, Wang, Yan-Lin
In this paper we study the zero-viscosity limit of $2$-D Boussinesq equations with vertical viscosity and zero diffusivity, which is a nonlinear system with partial dissipation arising in atmospheric sciences and oceanic circulation. The domain is ta
Externí odkaz:
http://arxiv.org/abs/2202.02712
Autor:
Li, Mengni, Wang, Yan-Lin
Publikováno v:
In Nonlinear Analysis: Real World Applications December 2024 80
Publikováno v:
In Science of the Total Environment 15 June 2024 929
Autor:
Li, Mengni, Yu, Pin
The Alfv\'en waves are fundamental wave phenomena in magnetized plasmas and the dynamics of Alfv\'en waves are governed by a system of nonlinear partial differential equations called the MHD system. In this paper, we study the rigidity aspect of the
Externí odkaz:
http://arxiv.org/abs/2001.01834
Autor:
Li, Mengni
Publikováno v:
In Advances in Mathematics 15 December 2023 435 Part A
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