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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nontrivial solutions for a quasilinear elliptic system with weight functions
权重函数 准线性 椭圆系统 非平凡解
2023/4/28
In this talk, we consider nontrivial solutions of a quasilinear elliptic system with the weight functions h(x) and f_i (x) (i = 1, 2) by applying the Nehari manifold method along with the fibrering ma...
Inviscid limit for axisymmetric stratified Navier-Stokes system
Inviscid limit axisymmetric stratified Navier-Stokes system Analysis of PDEs
2012/6/21
This paper is devoted to the study of the Cauchy problem for the stratified Navier-Stokes system in space dimension three. In the first part of the paper, we prove the existence of a unique global sol...
A semilinear hyperbolic system violating the null condition
semilinear hyperbolic system null condition Analysis of PDEs
2012/6/7
We consider a two-component system of semilinear wave equations in three space dimensions with quadratic nonlinear terms not satisfying the null condition. We prove small data global existence of the ...
On the inviscid limit of the system "viscous incompressible fluid + rigid body" with the Navier conditions
inviscid limit of the system viscous incompressible fluid Navier conditions Analysis of PDEs
2012/6/6
In this paper we consider the inviscid limit for the system "viscous incompressible fluid + rigid body" in $\R^{3}$ when some Navier slip conditions are prescribed on the body's boundary. We prove the...
Global classical solutions for partially dissipative hyperbolic system of balance laws
balance laws entropy dissipative classical solutions Chemin-Lerner’s spaces
2012/2/29
This work is concerned with ($N$-component) hyperbolic system of balance laws in arbitrary space dimensions. Under entropy dissipative assumption and the Shizuta-Kawashima algebraic condition, a gener...
Symmetry group analysis and an optimal system
Benjamin-Bona-Mahoney equation symmetry group optimal systerm reduction equation
2011/10/17
In this paper，Smmetry group properties of Benjamin-Bona-Mahoney equation are analyzed.The symmetries and adjoint representations for this equation are given.Second,an optimal system of one-dimensional...
Global and trajectory attractors for a nonlocal Cahn-Hilliard-Navier-Stokes system
Navier-Stokes equations nonlocal Cahn-Hilliard equations incompressible binary fluids global attractors
2011/9/23
Abstract: The Cahn-Hilliard-Navier-Stokes system is based on a well-known diffuse interface model and describes the evolution of an incompressible isothermal mixture of binary fluids. A nonlocal varia...
Solvability and asymptotic analysis of a generalization of the Caginalp phase field system
phase field model well-posedness regularity asymptotic behaviour error estimates
2011/9/15
Abstract: We study a diffusion model of phase field type, which consists of a system of two partial differential equations involving as variables the thermal displacement, that is basically the time i...
Global existence of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions
Global existence nonlinear system wave and Klein-Gordon equations four space-time dimensions
2011/9/14
Abstract: In this article one will develop a so-called hyperboloidal foliation method, which is an energy method based on a foliation of space-time into hyperboloidal hypersurfaces. This method permit...
Existence of strong solutions in a larger space for the shallow-water system
the shallow-water system Analysis of PDEs
2011/9/5
Abstract: This paper is dedicated to the study of both viscous compressible barotropic fluids and Navier-Stokes equation with dependent density, when the viscosity coefficients are variable, in dimens...
Self-similar asymptotics of solutions to the Navier-Stokes system in two dimensional exterior domain
Self-similar asymptotics the Navier-Stokes system two dimensional exterior domain Analysis of PDEs
2011/9/1
Abstract: We consider the 2D incompressible Navier-Stokes equations with Dirichlet boundary condition in the exterior of one obstacle. Assuming that the circulation at infinity of the velocity is suff...
Dissipative property of the Vlasov-Maxwell-Boltzmann System with a uniform ionic background
Vlasov-Maxwell-Boltzmann system energy method dissipation rate time-decay rate
2011/9/1
Abstract: In this paper we discuss the dissipative property of near-equilibrium classical solutions to the Cauchy problem of the Vlasov-Maxwell-Boltzmann System in the whole space $\R^3$ when the posi...
Green's function and large time behavior of the Navier-Stokes-Maxwell system
Navier-Stokes-Maxwell system dissipation Green’s function asymptotic stability
2011/9/1
Abstract: In this paper, we are concerned with the system of the compressible Navier-Stokes equations coupled with the Maxwell equations through the Lorentz force in three space dimensions. The asympt...
Global existence for the Euler-Maxwell system
Global existence the Euler-Maxwell system Analysis of PDEs
2011/8/30
Abstract: The Euler-Maxwell system describes the evolution of a plasma when the collisions are important enough that each species is in a hydrodynamic equilibrium. In this paper we prove global existe...
Global Classical Solutions of the Relativistic Vlasov-Darwin System with Small Cauchy Data: the Generalized Variables Approach
Vlasov-Darwin Cauchy Problem Global Classical Solutions
2011/8/25
Abstract: We show that a smooth, small enough Cauchy datum launches a unique classical solution of the relativistic Vlasov-Darwin (RVD) system globally in time. A similar result is claimed in Comm. Ma...