Now showing items 1-5 of 5
Abstract functional second-order stochastic evolution equations with applications
We investigate a class of abstract second-order damped functional stochastic evolution equations driven by a fractional Brownian motion in a separable Hilbert space. The global existence of mild solutions is established ...
Nonlinear stability analysis of a two-dimensional diffusive free boundary problem
We explore global existence and stability of planar solutions to a multi-dimensional Case II polymer diffusion model which takes the form of a one-phase free boundary problem with phase onset. Due to a particular boundary ...
BOUNDARY DYNAMICS OF A TWO-DIMENSIONAL DIFFUSIVE FREE BOUNDARY PROBLEM
Numerous models of industrial processes such as diffusion in glassypolymers or solidification phenomena, lead to general one-phase free boundary value problems with phase onset. In this paper we develop a framework viable ...
ABSTRACT STOCHASTIC INTEGRODIFFERENTIAL DELAY EQUATIONS DRIVEN BY FRACTIONAL BROWNIAN MOTION
We investigate a class of abstract delay stochastic integrodifferential delay equations driven by a fractional Brownian motion (fBm) dependent upon a family of probability measures in a ...
Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion
We investigate a class of abstract functional stochastic evolution equations driven by a fractional Brownian motion in a real separable Hilbert space. Global existence results concerning mild solutions are formulated under ...