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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global stability of the Minkowski spacetime for the Einstein-Vlasov system
爱因斯坦-弗拉索夫系统 闵可夫斯基时空 全球稳定性
2023/4/21
In this talk, we discuss the global stability of the Minkowski spacetime in the wave coordinates system for the massive Einstein-Vlasov system. In particular, compared with previous results by Lindbla...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On varieties of general type with many global forms
全局形式 一般类型 品种
2023/5/6
We expect that the study of pluricanonical systems of varieties of general type with many global forms can be reduced to the study of pluricanonical systems of varieties of lower dimensions. We show t...
GLOBAL SOLUTIONS OF CERTAIN PLASMA FLUID MODELS IN 3D
GLOBAL SOLUTIONS CERTAIN PLASMA FLUID MODELS 3D
2014/4/3
We consider several dispersive time-reversible plasma fluid models in 3 dimensions: the Euler-Poisson 2-fluid model, the relativistic Euler–Maxwell 1-fluid model, and the relativisti...
GLOBAL SOLUTIONS OF QUASILINEAR SYSTEMS OF KLEIN–GORDON EQUATIONS IN 3D
GLOBAL SOLUTIONS QUASILINEAR SYSTEMS KLEIN–GORDON EQUATIONS 3D
2014/4/3
We prove small data global existence and scattering for quasilinear systems of Klein-Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stab...
GLOBAL REGULARITY FOR A MODIFIED CRITICAL DISSIPATIVE QUASI-GEOSTROPHIC EQUATION
GLOBAL REGULARITY A MODIFIED CRITICAL DISSIPATIVE QUASI-GEOSTROPHIC EQUATION
2014/4/3
with κ > 0, α ∈ (0,1] and θ0 ∈ L2(R2). We remark that the extra Λα−1 is introduced in order to make the scaling invariance of this system similar to the scaling invariance of the critical quasi-...
Global generalized solutions for Maxwell-alpha and Euler-alpha equations
Global generalized solutions Maxwell-alpha Euler-alpha equations
2011/2/24
We study initial-boundary value problems for the Lagrangian averaged alpha models for the equations of motion for the corotational Maxwell and inviscid fluids in 2D and 3D. We show existence of (globa...
Constructive Proof of Global Lyapunov Function as Potential Function
Constructive Proof Global Lyapunov Function Potential Function
2010/12/28
We provide a constructive proof on the equivalence of two fundamental concepts: the global
Lyapunov function in engineering and the potential function in physics, establishing a bridge be-tween these...
In this article we study global in time (not necessarily small) solutions of the equation for the Higgs boson in the Minkowski and in the de Sitter spacetimes. We reveal some qualitative behavior of t...
Existence of global weak solutions for Navier-Stokes equations with large flux
Navier-Stokes equation weighted Sobolev spaces Neumann boundary-value problem
2010/12/14
Global existence of weak solutions to the Navier-Stokes equation in a cylindrical domain under the slip boundary conditions and with inflow and outflow was proved. To prove the energy estimate, crucia...
A global mathematical investigation of a predator-prey model
predator-prey plane differential system
2010/4/8
We construct a global bifurcation diagram of the plane differential system $$ {l} \dot x = x(1-x)-x y/(a+x^2), \dot y = y(\delta-\beta y/x), x(t)>0, y(t)>0, a>0, \delta>0, \beta>0, $$ which describes ...