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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global unique solutions for the inhomogeneous Navier-Stokes equation with only bounded density, in critical regularity spaces
临界正则性空间 界密度 非齐次 纳维-斯托克斯方程 全局唯一解
2023/4/25
Our work is to prove the global existence and uniqueness of solutions to the inhomogeneous incompressible Navier-Stokes system in the case where the initial density $\rho_0$ is discontinuous and the i...
The reproducibility of thermomagnetically written domains in rare earth-transition metal thin films was studied and as a result films capable of supporting very regular domains were fabricated.To unde...
On the regularity of the 2+1 dimensional Skyrme model
Skyrme model global existence non-concentration of energy
2011/7/28
Abstract: One of the most interesting open problems concerning the Skyrme model of nuclear physics is the regularity of its solutions. In this article, we study 2+1 dimensional equivariant Skyrme maps...
We prove local existence and uniqueness of the Cauchy problem for a large class of tensorial second order linear hyperbolic partial differential equations with coefficients of low regularity in a suit...
Almost Regularity Conditions of Spectral Problems for a Second
Order Equation
spectral problem asymptotic distribution
2007/8/15
2004Vol.41No.5pp.649-654DOI:
Almost Regularity Conditions of Spectral Problems for a Second
Order Equation
Yu.A. Mamedov and H.I. Ahmadov
Faculty of Applied Mathematics...
On the Global Regularity of Wave Maps in the Critical Sobolev Norm
Wave Maps Critical Sobolev Norm
2014/4/3
This paper, in collaboration with I. Rodnianski, is an extension of the recent higher dimensional critical regularity result of T. Tao to general bounded parallelizable Riemannian target manifolds.