搜索结果: 1-15 共查到“Parabolic Equation”相关记录20条 . 查询时间(0.462 秒)
The quenching phenomena for second-order nonlinear parabolic equation with nonlinear source
Parabolic equation Quenching phenomena Unbounded domain
2011/10/15
In this paper, we investigate the quenching phenomena of the Cauchy problem for the second-order nonlinear parabolic equation on unbounded domain. It is shown that the solution quenches in finite time...
Unique continuation and approximate controllability for a degenerate parabolic equation
degenerate parabolic equations unique continuation approximate controllability local Carleman estimate
2011/9/13
Abstract: This paper studies unique continuation for weakly degenerate parabolic equations in one space dimension. A new Carleman estimate of local type is obtained to deduce that all solutions that v...
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...
Boundary value problem for a classical semilinear parabolic equation
positive solution global existence blow-up omega-limit
2011/2/28
In this paper, we study the boundary value problem of the classical semilinear parabolic equations ut − u = |u|p−1u.
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
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...
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...
Development of Method of Analysis of Sound Propagation Based on Parabolic Equation Method
Sound Propagation Parabolic Equation Method
2009/8/19
Recently, we developed program of sound propagation in ocean water using the parabolic equation (PE) method based on wave theory. This method accurately analyzed long-range sound propagation in deep w...
Influence by Shear Wave of Ice with Sea-surface to Sound Propagation Characteristics in Arctic Ocean using Elastic Parabolic Equation Method
Shear Wave of Ice Sound Propagation Characteristics Elastic Parabolic Equation Method
2009/8/19
Characteristics of pulse propagation in Arctic Ocean were calculated by elastic Parabolic Equation (PE) method based on rotated Pade approximation. It was assumed that the transmitter was placed at 10...
Phase Error and Pulse Propagation Time of Parabolic Equation Method
Phase Error Pulse Propagation Time Parabolic Equation Method
2009/8/19
The application of the sound wave which propagates through long range in the ocean is studied to monitor global warming. Recently, parabolic equation method (PE method) is often used as a sound propag...
Entropy Solutions for a Non-Uniformly Parabolic Equation
Entropy solutions Existence Uniqueness Parabolic
2015/5/4
In this paper we prove the existence and uniqueness of entropy solutions for the initial-boundary value problem of a non-uniformly parabolic equation. Moreover, we establish a comparison result. Some ...
EXISTENCE OF RADIAL SOLUTIONS FOR A FOURTH ORDER PARABOLIC EQUATION
Fourth order parabolic equation Radial solution Existence
2008/11/26
We consider an initial-boundary problem for a fourth order nonlinear parabolic equation.
The problem as a model arises in epitaxial growth of nanoscale thin films. Relying
on some necessary uniform ...
Asymptotic Behavior for Discretizations of a Semilinear Parabolic Equation with a Nonlinear Boundary Condition
Semidiscretizations Semilinear parabolic equation Asymptotic behavior Convergence
2010/1/22
This paper concerns the study of the numerical approximation for the following initial-boundary value problem: (P) where , and . We show that the solution of a semidiscrete form of (P) goes to ...
Existence and blow-up for a nonlocal degenerate parabolic equation
Degenerate parabolic equation Local existence and uniqueness
2010/9/16
In this paper, we establish the local existence and uniqueness of the solution for the degenerate parabolic equation with a nonlocal source and homogeneous Dirichlet boundary condition. Moreover, we p...
In this paper we prove the solution of explicit difference scheme for a
semilinear parabolic equation converges to the solution of difference
scheme for the relevant nonlinear stationary problem as ...