Results 21 to 30 of about 942 (96)

Dynamical behaviour of an intraguild predator–prey model with prey refuge and hunting cooperation

Journal of Biological Dynamics, 2023
An intraguild predator–prey model including prey refuge and hunting cooperation is investigated in this paper. First, for the corresponding ordinary differential equation model, the existence and stability of all equilibria are given, and the existence ...
Xin-You Meng, Yan Feng
doaj   +1 more source

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

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

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
doaj   +1 more source

Solutions of the Camassa-Holm equation with accumulating breaking times [PDF]

Dynamics of PDE 13, 91-105 (2016), 2015
We present two initial profiles to the Camassa-Holm equation which yield solutions with accumulating breaking times.
arxiv   +1 more source

Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on a bounded domain [PDF]

, 2014
An initial-boundary value problem for the 3D Zakharov-Kuznetsov equation posed on bounded domains is considered. Existence and uniqueness of a global regular solution as well as exponential decay of the $H^2$-norm for small initial data are proven.
arxiv   +1 more source

Front instability in a condensed phase combustion model

Advances in Nonlinear Analysis, 2015
We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis, Dkhil Fathi, Logak Elisabeth   +2 more
doaj   +1 more source

Global solutions for the Kuramoto-Sivashinsky equation posed on unbounded 3D grooves [PDF]

arXiv, 2021
Initial boundary value problems for the three dimensional Kuramoto-Sivashinsky equation posed on unbounded 3D grooves were considered. The existence and uniqueness of global strong solutions as well as their exponential decay have been established.
arxiv  

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

Formation of singularities for multi-dimensional transport equations with nonlocal velocity [PDF]

arXiv, 2021
This paper is concerned with a class of multi-dimensional transport equations with nonlocal velocity. It is shown that the local smooth solution cannot exist globally in time via the De Giorgi iteration technique.
arxiv