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Blow-up time for a semilinear parabolic equation with variable reaction
Semilinear parabolic equation blow-up numerical blow-up time
2011/4/6
In this paper, we address the solution of a semilinear heat equation with variable reaction subject to Dirichlet boundary conditions and nonnegative initial datum. Under some assumptions, we show that...
Blow-up for a degenerate and singular parabolic system with nonlocal sources and absorptions
Degenerate and singular parabolic system blow up blow-up set
2010/11/1
This paper deals with the blow-up properties of the solution to the degenerate and singular parabolic system with nonlocal sources, absorptions and homogeneous Dirichlet boundary conditions. The exist...
On gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
Nonlinear parabolic equations Gradient estimates
2010/9/25
Let (M,g) be a complete noncompact Riemannian manifold. In this note, we derive a local gradient estimate for positive solution to a simple nonlinear parabolic equation
Fourth order positively smoothed Pade schemes for parabolic partial differential equations with nonlocal boundary conditions
Fourth order positively smoothed Pade schemes parabolic partial differential equations
2010/9/26
Parabolic partial differential equation with nonlocal boundary conditions arise in modeling of various physical phenomena in areas such as chemical diffusion, thermoelasticity, heat conduction process...
Explicit Runge-Kutta time integrators for one dimensional spatially discrete semilinear parabolic equation
Semilinear parabolic equation Runge-Kutta methods
2010/9/26
Explosive instabilities in two uniform spatially discrete schemes for a semilinear parabolic equation in one space dimension are studied by intensive numerical simulations. We shows for both schemes t...
Application of variational iteration method to parabolic problems
partial differential equation one dimensional nonhomogeneous parabolic equations
2010/9/13
In this paper, the solutions of the one dimensional non-homogeneous parabolic equations with a variable coefficient are obtained by means of variational iteration method (VIM). The results reveal that...
Stabilization of solutions to unidimensional nonlinear parabolic problems
Stabilization solutions unidimensional
2010/9/15
We begin by describing the set E(L) of nonnegative equilibrium solutions to the motivating example, which consists of problem (P) with the special choice f(u) = u(1 − u)(u − a) and 0 < a <...
Parallel AGEI method for fourth order parabolic equations
parabolic equations iterative method parallel computation
2010/9/14
Based on a high order absolutely stable implicit scheme, we construct the alternating group explicit iterative method (AGEI) for four order parabolic equations. The method is verified to be convergent...
An alternating group explicit iterative method for solving four-order parabolic equations
iterative method parallel computing alternating group
2010/9/14
A class of alternating group explicit iterative method using the C-N scheme is derived for solving four order parabolic equations, and the analysis for convergency is given. In the end, the numerical ...
Finite-dimensional approximate controllability for a nonlocal parabolic problem
Approximate Controllability Diffusion Equation Optimal Control
2010/9/13
In this work we investigate finite–approximate controllability for a nonlocal parabolic problem defined in an bounded domain of RN. First, using a variational approach, we prove the controllability re...
Dirichlet Green Functions for Parabolic Operators with Singular Lower-Order Terms
Green function Parabolic operator Initial-Dirichlet problem Boundary behavior Singular potential Singular drift term Radon measure Schrö dinger heat kernel Parabolic Kato class
2008/7/2
Dirichlet Green Functions for Parabolic Operators with Singular Lower-Order Terms.
Weak Periodic Solutions of Some Quasilinear Parabolic Equations with Data Measures
Quasilinear equations Periodic Parabolic Convex nonlinearities Data measures Nonlinear capacities
2008/6/26
The goal of this paper is to study the existence of weak periodic solutions for some quasilinear parabolic equations with data measures and critical growth nonlinearity with respect to the gradient. T...
Uniform blow-up profiles for a nonlocal degenerate parabolic system
Degenerate reaction-diffusion system Uniform blow-up profiles
2010/9/14
This paper deals with the blow-up profiles of the nonnegative solutions to a degenerate reaction-diffusion system with nonlinear nonlocal sources involved in a product with local terms, subject to the...
Blow-up of the solution for a kind of six order hyperbolic and parabolic evolution systems
Nonlinear hyperbolic equation Blow-up
2010/9/15
In this paper, we give some results on the blow-up behaviors of the solution to the mixed problem for some higher nonlinear hyperbolic evolution equation in finite time .By introducing the ``blow-up f...
In this article we consider an inverse parabolic problem of linear heat equation with nonlinear boundary condition. We identify the temperature and the unknown radiation term from an overspecified con...