Results 51 to 60 of about 1,526 (125)

Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux

open access: yesBoundary Value Problems, 2011
This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence parameter equation.
Xu Si, Song Zifen
doaj  

Approximations to precisely localized supports of solutions for non-linear parabolic p-Laplacian problems

open access: yesDemonstratio Mathematica
The shrinking of support in non-linear parabolic pp-Laplacian equations with a positive initial condition u0{u}_{0} that decayed as ∣x∣→∞| x| \to \infty was explored in the Cauchy problem.
Jeli Roqia Abdullah
doaj   +1 more source

Asymptotic Spreading Fastened by Inter-Specific Coupled Nonlinearities: a Cooperative System

open access: yes, 2012
This paper is concerned with the asymptotic spreading of a Lotka-Volterra cooperative system. By using the theory of asymptotic spreading of nonautonomous equations, the asymptotic speeds of spreading of unknown functions formulated by a coupled system ...
Lin, Guo
core   +1 more source

Analysis of a diffusive host-pathogen model with standard incidence and distinct dispersal rates

open access: yesAdvances in Nonlinear Analysis, 2020
This paper concerns with detailed analysis of a reaction-diffusion host-pathogen model with space-dependent parameters in a bounded domain. By considering the fact the mobility of host individuals playing a crucial role in disease transmission, we ...
Wang Jinliang, Cui Renhao
doaj   +1 more source

Traveling Wave Solutions of a Reaction-Diffusion Equation with State-Dependent Delay [PDF]

open access: yes, 2014
This paper is concerned with the traveling wave solutions of a reaction-diffusion equation with state-dependent delay. When the birth function is monotone, the existence and nonexistence of monotone traveling wave solutions are established.
Lin, Guo, Wang, Haiyan
core  

Solution and Asymptotic Behavior for a Nonlocal Coupled System of Reaction-Diffusion

open access: yes, 2007
This paper concerns with existence, uniqueness and asymptotic behavior of the solutions for a nonlocal coupled system of reaction-diffusion. We prove the existence and uniqueness of weak solutions by the Faedo-Galerkin method and exponential decay of ...
A.S. Ackleh   +14 more
core   +1 more source

Front instability in a condensed phase combustion model

open access: yesAdvances 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   +2 more
doaj   +1 more source

Predation-induced dispersal toward fitness for predator invasion in predator–prey models

open access: yesJournal of Biological Dynamics, 2023
In this paper, we consider a predator–prey model with nonuniform predator dispersal, called predation-induced dispersal (PID), which represents predator motility depending on the maximal predation rate and the predator death rate in a spatially ...
Wonhyung Choi   +2 more
doaj   +1 more source

Time-scale analysis non-local diffusion systems, applied to disease models

open access: yes, 2020
The objective of the present paper is to use the well known Ross-Macdonald models as a prototype, incorporating spatial movements, identifying different times scales and proving a singular perturbation result using a system of local and non-local ...
Oliva, Sergio   +2 more
core  

Initial layer problem of the Boussinesq system for Rayleigh-Bénard convection with infinite Prandtl number limit

open access: yesOpen Mathematics, 2018
The main purpose of this paper is to study the initial layer problem and the infinite Prandtl number limit of Rayleigh-Bénard convection with an ill prepared initial data.
Fan Xiaoting   +3 more
doaj   +1 more source

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