搜索结果: 1-13 共查到“偏微分方程其他学科 equation”相关记录13条 . 查询时间(0.109 秒)
On the rate of convergence to equilibrium for a non-isothermal viscous Cahn-Hilliard equation
Partial differential equation Cahn-Hilliard equation Maxwell-Cattaneo's law convergence rate
2011/10/14
In this short note, a model describing non-isothermal fast phase separation processes taking place in a three-dimensional bounded domain is considered. The model consists of a viscous Cahn-Hilliard eq...
On a Fourth Order Lichnerowicz Type Equation Involving The Paneitz-Branson Operator
Fourth Order Lichnerowicz Type Equation Paneitz-Branson Operator
2011/2/24
In this paper, we study some fourth order singular critical equa-tions of Lichnerowicz type involving the Paneitz-Branson operator, and we prove existence and non existence results under given assumpt...
Scattering of Solitons for Dirac Equation Coupled to a Particle
Scattering of Solitons Dirac Equation Coupled Particle
2011/1/21
We establish soliton-like asymptotics for finite energy solutions to the Dirac equation coupled to a relativistic particle. Any solution with initial state close to the solitary manifold, converges in...
On a periodic 2-component $\mu$-Hunter-Saxton equation
A periodic 2-component μ-Hunter-Saxton system blow-up scenario blow-up
2011/2/25
In this paper, we study the Cauchy problem of a periodic 2-component μ-Hunter-Saxton system. We first establish the local well-posedness for the periodic 2-component μ-Hunter-Saxton system by Kato’s s...
Well-posedness of a Class of Non-homogeneous Boundary Value Problems of the Korteweg-de Vries Equation on a Finite Domain
Class of Non-homogeneous Boundary Value Problems Korteweg-de Vries Equation Finite Domain
2011/1/18
In this paper, we study a class of initial and boundary value problems proposed by Colin and Ghidalia for the Korteweg-de Vries equation posed on a bounded domain (0, L).We show that the initial-value...
Conserved quantities and generalized solutions of the ultradiscrete KdV equation
Conserved quantities generalized solutions ultradiscrete KdV equation
2011/2/22
We construct generalized solutions to the ultradiscrete KdV equation,including the so-called negative solition solutions. The method is based on the ultradiscretization of soliton solutions to the dis...
We consider numerical approximations of the Monge-Ampere equation det D2u = f; f > 0 with Dirichlet boundary conditions on a convex bounded domain in Rn; n = 2; 3. We make a comparative study of thr...
Pullback attractors for a singularly nonautonomous plate equation
pullback attractors nonautonomous plate equation upper-semicontinuity
2011/2/24
We consider the family of singularly nonautonomous plate equation with structural damping
utt + a(t, x)ut + (−)ut + (−)2u + u = f(u),in a bounded domain ⊂ Rn, with Navier bounda...
Explicit Singular Viscosity Solutions of the Aronsson Equation
Aronsson Equation Viscosity Solutions C1 Regularity Problem
2011/2/25
We establish that when n 2 and H 2 C1(Rn) is a Hamiltonian such that some level set contains a line segment.
On the Cauchy problem of a two-component b-family equation
A two-component b-family equation well-posedness blow-up scenario
2011/2/25
In this paper, we study the Cauchy problem of a two-component b-family equation. We first establish the local well-posedness for a two-component b-family equation by Kato’s semigroup theory. Then, we ...
On L_p theory for Zakai equation with discontinuous observation process
L_p theory Zakai equation discontinuous observation process
2011/2/28
The existence and uniqueness in fractional Sobolev spaces of the Cauchy problem to a stochastic parabolic integro-differential equation is investi-gated. A model problem with coefficients independent ...
Local Bifurcation-Branching Analysis of Global and "Blow-up" Patterns for a Fourth-Order Thin Film Equation
Thin film equation local bifurcation analysis source-type and blow-up similarity solutions
2010/12/14
Countable families of global-in-time and blow-up similarity sign-changing patterns of the Cauchy problem for the fourth-order thin film equation (TFE–4) ut = −∇ · (|u|n∇u) in RN × R...
A note on Schrödinger equation with linear potential and hitting times
Schrö dinger equation linear potential hitting times
2010/11/29
In this note we derive a solution to the Schr¨odingertype backward equation which satisfies a necessary boundary condition used in hitting-time problems [as described in Hern´andezdel-
Valle (2...