Results 141 to 150 of about 3,209 (150)

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
semanticscholar   +1 more source

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.
semanticscholar   +1 more source

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

One-dimensional symmetry of bounded entire solutions of some elliptic equations

, 2000
This paper is about one-dimensional symmetry properties for some entire and bounded solutions of ∆u + f(u) = 0 in IR. We consider solutions u such that −1 < u < 1 and u(x1, · · · , xn) → ±1 as xn → ±∞, uniformly with respect to x1, · · · , xn−1.
H. Berestycki, F. Hamel, R. Monneau
semanticscholar   +1 more source

General Uniqueness Results and Variation Speed for Blow‐Up Solutions of Elliptic Equations

, 2005
Let Ω be a smooth bounded domain in RN. We prove general uniqueness results for equations of the form − Δ u = au − b(x) f(u) in Ω, subject to u = ∞ on ∂ Ω.
F. Cîrstea, Yihong Du
semanticscholar   +1 more source

Existence, uniqueness and concentration for a system of PDEs involving the Laplace–Beltrami operator

Interfaces and free boundaries (Print), 2019
In this paper we derive a model for heat diffusion in a composi te medium in which the different components are separated by thermally active interf ac s.
M. Amar, R. Gianni
semanticscholar   +1 more source

Hypocoercive Diffusion Operators

, 2006
In many problems coming from mathematical physics, the association of a degenerate diffusion operator with a conservative operator may lead to dissipation in all variables and convergence to equilibrium.
C. Villani
semanticscholar   +1 more source

Asymptotic behavior for the vorticity equations in dimensions two and three

, 1994
We establish the selfsimilar behavior of the solutions of the two and three dimensional vorticity equations for some classes of initial data. More precisely, any solution v of the two dimensional vorticity equation taking as initial data a finite Radon ...
A. Carpio
semanticscholar   +1 more source