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Abstract functional second-order stochastic evolution equations with applications
(2017-01-24)
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
(2010-01-25)
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
(2010-02)
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
(2015)
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
(2014-02-25)
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 ...