Results 31 to 40 of about 126 (121)

A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION

Forum of Mathematics, Sigma, 2020
We analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH equation develop singularities with steep gradients while preserving continuity of the solution ...
JOSÉ A. CARRILLO, KATRIN GRUNERT, HELGE HOLDEN   +2 more
doaj   +1 more source

Critical Exponents of Semilinear Equations via the Feynman-Kac Formula [PDF]

, 2007
2000 Mathematics Subject Classification: 60H30, 35K55, 35K57 ...
T. Kolkovska, Ekaterina, Alfredo Lopez-Mimbela, Jose   +1 more
core  

GLOBAL NEARLY-PLANE-SYMMETRIC SOLUTIONS TO THE MEMBRANE EQUATION

Forum of Mathematics, Pi, 2020
We prove that any simple planar travelling wave solution to the membrane equation in spatial dimension $d\geqslant 3$ with bounded spatial extent is globally nonlinearly stable under sufficiently small compactly supported perturbations, where the ...
LEONARDO ABBRESCIA, WILLIE WAI YEUNG WONG   +1 more
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Sharp Liouville Theorems

Advanced Nonlinear Studies, 2021
Consider the equation div⁡(φ2⁢∇⁡σ)=0{\operatorname{div}(\varphi^{2}\nabla\sigma)=0} in ℝN{\mathbb{R}^{N}}, where φ>0{\varphi>0}. Berestycki, Caffarelli and Nirenberg proved in [H. Berestycki, L. Caffarelli and L. Nirenberg, Further qualitative properties
Villegas Salvador
doaj   +1 more source

Boundedness and stabilization in a three-species chemotaxis-competition system with singular sensitivity

Advances in Nonlinear Analysis
This paper deals with the following fully parabolic chemotaxis system with singular sensitivity and Lotka–Volterra competition kineticsut=Δu−χ1∇⋅uz∇z+μ1u(1−u−a12v−a13ω),x∈Ω,t>0,vt=Δv−χ2∇⋅vz∇z+μ2v(1−a21u−v−a23ω),x∈Ω,t>0,ωt=Δω−χ3∇⋅ωz∇z+μ3ω(1−a31u−a32v−ω),x∈
Zhu Zhangsheng
doaj   +1 more source

Implication of age-structure on the dynamics of Lotka Volterra equations

, 2019
2010 MSC : (35B35) 35B40 65M08 (65M25) 92D40 92D50 (92D25)International audienceIn this article, we study the behavior of a nonlinear age-structured predator-prey model that is a generalization of Lotka-Volterra equations.
Perasso, Antoine, Antoine Perasso, Richard, Quentin, Quentin Richard   +3 more
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Stability and exponential decay for two-dimensional Boussinesq equations with partial viscosity and thermal diffusion

Advances in Nonlinear Analysis
In this work, we study the two-dimensional anisotropic Boussinesq equations, incorporating only horizontal dissipation in the tangential velocity and horizontal thermal diffusion. When the spatial domain is T×R $\mathbb{T}{\times}\mathbb{R}$ , this paper
Yu Tianyuan
doaj   +1 more source

Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]

, 2003
2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type.
Hakkaev, Sevdzhan
core  

HSC Research Report On ARMA(1,q) models with bounded and periodically correlated solutions On ARMA(1,q) models with bounded and periodically correlated solutions

, 2020
In this paper, motivated by [2], we derive necessary and sufficient conditions for bounded and periodically correlated solutions to the system of equations described by ARMA(1,q) model.
Agnieszka Wyłomańska, Hugo Steinhaus Center, ( Wroc, Aleksander Weron, A Weron, A Wy   +5 more
core  

On the energy decay of a coupled nonlinear suspension bridge problem with nonlinear feedback

Open Mathematics
In this article, we study a mathematical model for a one-dimensional suspension bridge problem with nonlinear damping. The model takes into consideration the vibration of the bridge deck in the vertical plane and main cable from which the bridge deck is ...
Al-Gharabli Mohammad M.
doaj   +1 more source