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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   +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

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