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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
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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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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
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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.
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General Energy Decay of Solutions for a Wave Equation with Nonlocal Damping and Nonlinear Boundary Damping

Journal of Partial Differential Equations, 2019
In this paper, we consider a nonlinear wave equation with nonlocal damping and nonlinear boundary damping. We prove a general energy decay property for solutions in terms of coefficient of the frictional boundary damping by using of the multiplier ...
Donghao Li sci
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