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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：C1,1/3- very weak solutions to the two dimensional Monge–Ampère equation
二维 Monge–Ampère方程 C1,1/3极弱解
2023/11/29
For any θ<1/3 , we show that very weak solutions to the two-dimensional Monge–Ampère equation with regularity C1,θ are dense in the space of continuous functions. This result is shown by a convex inte...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global strong solutions to the two-dimensional radially symmetric compressible MHD
二维径向对称 可压缩 磁流体动力学 全局强解
2023/12/11
In this talk, I will present our recent result the 2D radially symmetric compressible MHD with density-dependent viscosity. Under the condition of beta>1, we prove the global existence of the radially...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On a two dimensional nonlocal shallow-water model
二维 非局部 浅水模型 三维欧拉系统
2023/4/14
In this talk, we first review some related progresses on one dimensional shallow water models. Then we introduce the derivation of a new nonlocal shallow water model from the 3D Euler system with free...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy estimates for the two-dimensional acoustical rarefaction waves
二维声稀波 能量估计 无旋
2023/4/18
We study the two-dimensional acoustical rarefaction waves under the irrotational assumptions. We provide a new energy estimates without loss of derivatives. We also give a detailed geometric descripti...