Global existence and blow-up for a class of nonlinear reaction diffusion problems
Boundary Value Problems, 2014 This paper deals with the global existence and blow-up of the solution for a class of nonlinear reaction diffusion problems. The purpose of this paper is to establish conditions on the data to guarantee the blow-up of the solution at some finite time ...
Juntang Ding
semanticscholar +1 more source
Semi-wavefront solutions in models of collective movements with density-dependent diffusivity [PDF]
arXiv, 2017 This paper deals with a nonhomogeneous scalar parabolic equation with possibly degenerate diffusion term; the process has only one stationary state. The equation can be interpreted as modeling collective movements (crowd dynamics, for instance).
arxiv
Minimal Travelling Wave Speed and Explicit Solutions in Monostable Reaction-Diffusion Equations [PDF]
arXiv, 2020 We investigate the connection between the existence of an explicit travelling wave solution and the travelling wave with minimal speed in a scalar monostable reaction-diffusion equation.
arxiv
Sharp Blow-Up Profiles of Positive Solutions for a Class of Semilinear Elliptic Problems
Advanced Nonlinear Studies, 2021 This paper analyzes the behavior of the positive solution θε{\theta_{\varepsilon}} of the perturbed ...
Li Wan-Tong +2 more
doaj +1 more source
Asymptotic stability of singular solution to nonlinear heat equation [PDF]
arXiv, 2009 In this paper, we discuss the asymptotic stability of singular steady states of the nonlinear heat equation in the weighted Lebesgue norms.
arxiv
Nonnegative multiplicative controllability for semilinear multidimensional reaction-diffusion equations [PDF]
arXiv, 2020 In this paper we consider a multidimensional semilinear reaction-diffusion equation and we obtain at any arbitrary time an approximate controllability result between nonnegative states using as control term the reaction coefficient, that is via multiplicative controls.
arxiv
, 2014 This paper is concerned with a nonlocal reaction-diffusion equation with nonlocal source and interior absorption ut=∫RNJ(x−y)(u(y,t)−u(x,t))dy+λ∫Ωuqdx−up, x∈Ω, t>0, u(x,t)=0, x∉Ω, t≥0, u(x,0)=u0(x), x∈Ω.
Bing Gao, Jiashan Zheng
semanticscholar +1 more source
Construction of type I blowup solutions for a higher order semilinear parabolic equation
Advances in Nonlinear Analysis, 2019 We consider the higher-order semilinear parabolic ...
Ghoul Tej-Eddine +2 more
doaj +1 more source
Saturated Fronts in Crowds Dynamics
Advanced Nonlinear Studies, 2021 We consider a degenerate scalar parabolic equation, in one spatial dimension, of flux-saturated type. The equation also contains a convective term. We study the existence and regularity of traveling-wave solutions; in particular we show that they can be ...
Campos Juan +2 more
doaj +1 more source
Complex dynamics of a nonlinear discrete predator-prey system with Allee effect
Open MathematicsThe transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. In this article, we study a discrete predator-prey system with Holling type II functional response and Allee effect. First, the number of fixed points
Wang Jing, Lei Ceyu
doaj +1 more source