Results 81 to 86 of about 819 (86)

Blowup and Asymptotic Behavior of a Free Boundary Problem with a Nonlinear Memory

, 2020
In this paper, we investigate a reaction-diffusion equation ut−duxx = au+ ∫ t 0 u p(x,τ)dτ+k(x) with double free boundaries. We study blowup phenomena in finite time and asymptotic behavior of time-global solutions.
Jiahui Huang
semanticscholar   +1 more source

Existence, uniqueness and concentration for a system of PDEs involving the Laplace–Beltrami operator

Interfaces and free boundaries (Print), 2019
In this paper we derive a model for heat diffusion in a composi te medium in which the different components are separated by thermally active interf ac s.
M. Amar, R. Gianni
semanticscholar   +1 more source

Fractional powers of the Stokes operator with boundary conditions involving the pressure

Mathematische Nachrichten, 2019
Since the pioneer work of Leray [21] and Hopf [15], Stokes and Navier-Stokes problems have been often studied with Dirichlet boundary condition. Nevertheless, in the opinion of engineers and physicists such a condition is not always realistic in ...
H. A. Baba
semanticscholar   +1 more source

Critical Exponents for the Heat Conduction Equation with a Nonlinear Boundary Condition

, 2013
We consider the heat conduction equation ut = ∇·(|∇u| m−1 ∇u )( m> 1),x∈ R N ,t >0, subject to the nonlinear boundary condition −|∇u| m−1 ∂u ∂x1 = u p ,x1 =0 ,t >0, in multi-dimension.
W. Du, Zhongping Li
semanticscholar   +1 more source

OPTIMAL L2 ESTIMATES FOR THE SEMIDISCRETE GALERKIN METHOD APPLIED TO PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH DATA

, 2014
We propose and analyse an alternate approach to a priori error estimates for the semidiscrete Galerkin approximation to a time-dependent parabolic integro-differential equation with nonsmooth initial data. The method is based on energy arguments combined
D. Goswami, Sangita Yadav
semanticscholar   +1 more source

Optimal Regularity and Fredholm Properties of Abstract Parabolic Operators in Lp Spaces on the Real Line

, 2005
D. D. Giorgio, A. Lunardi, R. Schnaubelt
semanticscholar   +1 more source