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DIFFERENTIAL HARNACK ESTIMATES FOR PARABOLIC EQUATIONS
PARABOLIC EQUATIONS DIFFERENTIAL HARNACK
2015/8/17
Let (M, g(t)) be a solution to the Ricci flow on a closed Riemannian
manifold. In this paper, we prove differential Harnack inequalities for positive
solutions of nonlinear parabolic equ...
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity
Harnack inequality second-order parabolic equations divergence-free drifts low regularity
2015/7/14
We establish the Harnack inequality for advection-diffusion equations with divergencefree drifts of low regularity.While our previous work [IKR] considered the elliptic case, here we treat the more ch...
A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation
parabolic convection-reaction-diffusion equation math
2010/11/23
We propose a finite volume method on general meshes for the discretization of a degenerate parabolic convection-reaction-diffusion equation. Equations of this type arise in many contexts, such as the ...
Dirac mass dynamics in a multidimensional nonlocal parabolic equation
Dirac mass dynamics multidimensional nonlocal parabolic equation
2010/11/12
Nonlocal Lotka-Volterra models have the property that solutions concentrate as Dirac masses in the limit of small diffusion. Is it possible to describe the dynamics of the limiting concentration point...
Essential parabolic structures and their infinitesimal automorphisms
Essential parabolic structures infinitesimal automorphisms
2010/11/8
Using the theory of Weyl structures, we give a natural generalization of the notion of essential conformal structures and conformal Killing fields to arbitrary parabolic geometries. We show that a pa...
Global-in-time Uniform Convergence for Linear Hyperbolic-Parabolic Singular Perturbations
Parabolic equations Damped hyperbolic equations Singular perturbations
2007/12/12
We consider the Cauchy problem ${\varepsilon}{u_{\ep}}''+\delta{u_{\ep}}'+A{u_{\varepsilon}}=0,$ ${u_{\varepsilon}}(0)=u_0, $ ${u_{\varepsilon}}'(0)=u_{1},$ where ${\varepsilon}>0$, $\delta>0$, $H$ is...
The boundary value problem for the nonlinear parabolic system is
solved by the finite difference method with nonuniform meshes. The existence
and a priori estemates of the discrete vector solutions ...
The multigrid algorithm in [13] is developed for solving nonlinear parabolic equations arising from the finite element discretization. The computational cost of the algorithm is approximate $O(N_kN)$ ...
Global Existence and Nonexistence for a Strongly Coupled Parabolic System with Nonlinear Boundary Conditions
Strongly coupled Global existence Finite time blow-up Upper and lower solutions
2007/12/10
This paper deals with the strongly coupled parabolic system $u_{t}=v^{m}{\Delta}u,v_{t}=u^{n}{\Delta}v,\ (x,t)$ $\in {\Omega}\times (0,T)$ subject to nonlinear boundary conditions ${\partial}u/{\parti...
BLOW-UP SOLUTIONS FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS WITH MIXED BOUNDARY CONDITIONS
2007/8/7
The type of problem under consideration is$$\left\{\begin{array}{ll}u_{t}=\nabla(a(u)b(x)\nabla u)+g(x,q,t)f(u)&$in$ \ D\!\times\!(0,T),\\[1mm]\displaystyle u=0 \ $on$ \ {\it \Gamma}_1\!\times\!(0,T),...
专著信息
书名
Doubly nonlinear degenerate parabolic systems with coupled nonlinear boundary conditions
语种
英文
撰写或编译
作者
王术
第一作者单位
出版社
Journal of Differential Equations, 182(2002), 431-469
出版地
出版日期
2002年
月
日
标...
Long time behavior of the solutions for coupled parabolic systems without monotone nonlinearities
2007/7/28
期刊信息
篇名
Long time behavior of the solutions for coupled parabolic systems without monotone nonlinearities
语种
英文
撰写或编译
作者
王元明
第一作者单位
刊物名称
Dynamic Systems and Applications
页面
10, 117—132, 2001,03
出版日期
2...
Conjugacy classes in maximal parabolic subgroups of general linear groups
Conjugacy classes parabolic subgroups linear groups
2010/10/29
We compute conjugacy classes in maximal parabolic subgroups of the general linear group. This computation proceeds by reducing to a ``matrix problem''. Such problems involve finding normal forms for ...