Results 41 to 46 of about 78 (46)

Stochastic Zener model with complex order fractional derivatives

Mathematics and mechanics of solids, 2022
We analyze the dissipation inequality for the constitutive equation of a complex order fractional Zener model and obtain appropriate thermodynamical restrictions for the wave-type model equation in terms of its Laplace transform.
T. Atanacković, S. Pilipovic, Dora Seleši   +2 more
semanticscholar   +1 more source

Random Attractor for Stochastic Partly Dissipative Systems on Unbounded Domains

, 2015
In this paper, we consider the long time behaviors for the partly dissipative stochastic reaction diffusion equations. The existence of a bounded random absorbing set is firstly discussed for the systems and then an estimate on the solution is derived ...
Wang, Zhi, Du, Xianyun
semanticscholar   +1 more source

A Stabilization Phenomenon for a Class of Stochastic Partial Differential Equations

, 2005
In this paper we investigate the long-time behavior of solutions to a class of semilinear, stochastic partial differential equations defined on a bounded domain D ⊂ R with smooth boundary ∂D and driven by an infinite-dimensional noise derived from an L(D)
P. Vuillermot, D. Nualart
semanticscholar   +1 more source

Computational Inverse Problems for Partial Differential Equations

Oberwolfach Reports, 2018
The problem of determining unknown quantities in a PDE from measurements of (part of) the solution to this PDE arises in a wide range of applications in science, technology, medicine, and finance. The unknown quantity may e.g.
L. Borcea, T. Hohage, B. Kaltenbacher
semanticscholar   +1 more source

Analyses and Applications of the Second-Order Cross Correlation in the Passive Imaging

, 2016
The first-order cross correlation and corresponding applications in the passive imaging are deeply studied by Garnier and Papanicolaou in their pioneer works.
Lingdi Wang, Wenbin Chen, Jin Cheng
semanticscholar   +1 more source