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Small Collaboration: Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations

Oberwolfach Reports, 2022
Nonlinear hyperbolic partial differential equations constitute a plethora of models from physics, biology, engineering, etc. In this workshop we cover the range from modeling, mathematical questions of well-posedness, numerical discretization and ...
C. Klingenberg, Qin Li, M. Pirner
semanticscholar   +1 more source

Locally uniform convergence to an equilibrium for nonlinear parabolic equations on $R^N$

, 2015
We consider bounded solutions of the Cauchy problem { ut −∆u = f(u), x ∈ R , t > 0, u(0, x) = u0(x), x ∈ R , where u0 is a nonnegative function with compact support and f is a C1 function on R with f(0) = 0. Assuming that f ′ is locally Holder continuous
P. Polácik, Yihong Du
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Erratum: Moderate Deviations Principle and Central Limit Theorem for Stochastic Cahn-Hilliard Equation in Hölder Norm

International Journal of Applied Mathematics and Simulation
We consider a stochastic Cahn-Hilliard partial differential equation driven by a space-time white noise. In this paper, weprove a Central Limit Theorem (CLT) and a Moderate Deviation Principle (MDP) for a perturbed stochastic Cahn-Hilliard equation ...
Ratsarasaina R. M., Rabeherimanana T. J.
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Moderate Deviations Principle and Central Limit Theorem for Stochastic Cahn-Hilliard Equation in Holder Norm

International Journal of Applied Mathematics and Simulation
We consider a stochastic Cahn-Hilliard partial differential equation driven by a space-time white noise. In this paper, we prove a Central Limit Theorem (CLT) and a Moderate Deviation Principle (MDP) for a perturbed stochastic Cahn-Hilliard equation in ...
Ratsarasaina R. M., Rabeherimanana T. J.
semanticscholar   +1 more source

New results on asymptotic stability of time-varying nonlinear systems with applications

Studia Universitatis Babeş-Bolyai. Mathematica
. In this paper, we present a converse Lyapunov theorem for the new notion of global generalized practical uniform h-stability of nonlinear systems of differential equations.
A. Kicha, H. Damak, M. Hammami
semanticscholar   +1 more source

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