Results 31 to 40 of about 357 (100)

Global existence and blow-up phenomena for p-Laplacian heat equation with inhomogeneous Neumann boundary conditions

Boundary Value Problems, 2014
In this paper, we consider a p-Laplacian heat equation with inhomogeneous Neumann boundary condition. We establish respectively the conditions on the nonlinearities to guarantee that the solution u(x,t) exists globally or blows up at some finite time. If
Fushan Li, Jinling Li
semanticscholar   +1 more source

Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2035-2052, 2003., 2003
We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the supports of the ends of the beam have small displacements.
J. Límaco, H. R. Clark, L. A. Medeiros
wiley   +1 more source

Front instability in a condensed phase combustion model

Advances in Nonlinear Analysis, 2015
We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis, Dkhil Fathi, Logak Elisabeth   +2 more
doaj   +1 more source

A level set formulation for Willmore flow

, 2004
A level set formulation of Willmore flow is derived using the gradient flow perspective. Starting from single embedded surfaces and the corresponding gradient flow, the metric is generalized to sets of level set surfaces using the identification of ...
M. Droske, M. Rumpf
semanticscholar   +1 more source

Critical global asymptotics in higher‐order semilinear parabolic equations

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 60, Page 3809-3825, 2003., 2003
We consider a higher‐order semilinear parabolic equation ut = −(−Δ)mu − g(x, u) in ℝN × ℝ+, m > 1. The nonlinear term is homogeneous: g(x, su) ≡ |s|p−1sg(x, u) and g(sx, u) ≡ |s|Qg(x, u) for any s ∈ ℝ, with exponents P > 1, and Q > −2m. We also assume that g satisfies necessary coercivity and monotonicity conditions for global existence of solutions ...
Victor A. Galaktionov
wiley   +1 more source

The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1

Advances in Nonlinear Analysis, 2019
In bounded n-dimensional domains Ω, the Neumann problem for the parabolic ...
Winkler Michael
doaj   +1 more source

Numerical solution of a malignant invasion model using some finite difference methods

Demonstratio Mathematica, 2023
In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified ...
Appadu Appanah Rao, Waal Gysbert Nicolaas de   +1 more
doaj   +1 more source

Integrodifferential equations with analytic semigroups

International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 177-189, 2003., 2003
In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.
D. Bahuguna
wiley   +1 more source

Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds

Advances in Nonlinear Analysis, 2023
In this article, we study the long-time dynamical behavior of the solution for a class of semilinear edge-degenerate parabolic equations on manifolds with edge singularities. By introducing a family of potential well and compactness method, we reveal the
Chen Yuxuan
doaj   +1 more source

On the weak solution of a three‐point boundary value problem for a class of parabolic equations with energy specification

Abstract and Applied Analysis, Volume 2003, Issue 10, Page 573-589, 2003., 2003
This paper deals with weak solution in weighted Sobolev spaces, of three‐point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly, prove the existence, uniqueness, and continuous dependence of the solution for the linear equation.
Abdelfatah Bouziani
wiley   +1 more source