Results 41 to 50 of about 446 (63)

Slow passage through the Busse balloon – predicting steps on the Eckhaus staircase

European Journal of Applied Mathematics
Motivated by the impact of worsening climate conditions on vegetation patches, we study dynamic instabilities in an idealised Ginzburg–Landau model. Our main results predict time instances of sudden drops in wavenumber and the resulting target states ...
Anna Asch, Montie Avery, Anthony Cortez, Arnd Scheel   +3 more
doaj   +1 more source

Global Continua of Positive Equilibria for some Quasilinear Parabolic Equation with a Nonlocal Initial Condition

, 2012
This paper is concerned with a quaslinear parabolic equation including a nonlinear nonlocal initial condition. The problem arises as equilibrium equation in population dynamics with nonlinear diffusion.
Ch Walker, Ch Walker, Ch Walker, Ch Walker, Christoph Walker, G Restrepo, GF Webb, H Amann, H Amann, H Triebel, J Prüß, J Shi, JM Cushing, MG Crandall, PH Rabinowitz   +14 more
core   +1 more source

Ground state solutions and multiple positive solutions for nonhomogeneous Kirchhoff equation with Berestycki-Lions type conditions

Demonstratio Mathematica
This article is concerned with the following Kirchhoff equation: −a+b∫R3∣∇u∣2dxΔu=g(u)+h(x)inR3,-\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}{| \nabla u| }^{2}{\rm{d}}x\right)\Delta u=g\left(u)+h\left(x)\hspace{1em}{\rm{in}}\hspace{0.33em ...
Huang Lanxin, Su Jiabao
doaj   +1 more source

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line

European Journal of Applied Mathematics
We study the Cauchy problem on the real line for the nonlocal Fisher-KPP equation in one spatial dimension, \begin{equation*} u_t = D u_{xx} + u(1-\phi *u), \end{equation*} where $\phi *u$ is a spatial convolution with the top hat kernel,
David John Needham, John Billingham, Nikolaos Michael Ladas, John Meyer   +3 more
doaj   +1 more source

Bifurcations from the orbit of solutions of the Neumann problem

, 2017
The purpose of this paper is to study weak solutions of a nonlinear Neumann problem considered on a ball. Assuming that the potential is invariant, we consider an orbit of critical points, i.e. we do not assume that critical points are isolated. We apply
Gołębiewska, Anna, Kluczenko, Joanna, Stefaniak, Piotr   +2 more
core   +1 more source

Defect Modes and Homogenization of Periodic Schr\"odinger Operators

, 2011
We consider the discrete eigenvalues of the operator $H_\eps=-\Delta+V(\x)+\eps^2Q(\eps\x)$, where $V(\x)$ is periodic and $Q(\y)$ is localized on $\R^d,\ \ d\ge1$.
Bechouche P., M. A. Hoefer, M. I. Weinstein   +2 more
core   +1 more source

An indefinite concave-convex equation under a Neumann boundary condition II

, 2016
We proceed with the investigation of the problem $(P_\lambda): $ $-\Delta u = \lambda b(x)|u|^{q-2}u +a(x)|u|^{p-2}u \ \mbox{ in } \Omega, \ \ \frac{\partial u}{\partial \mathbf{n}} = 0 \ \mbox{ on } \partial \Omega$, where $\Omega$ is a bounded smooth ...
Quoirin, Humberto Ramos, Umezu, Kenichiro   +1 more
core   +1 more source

Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]

Heliyon, 2023
Akter S, Islam MS, Hossain T.
europepmc   +1 more source

Pattern Formation in Epidemic Model with Media Coverage. [PDF]

Differ Equ Dyn Syst, 2022
Sarker RC, Sahani SK.
europepmc   +1 more source

Mathematical modeling and analysis for controlling the spread of infectious diseases. [PDF]

Chaos Solitons Fractals, 2021
Tyagi S, Martha SC, Abbas S, Debbouche A.   +3 more
europepmc   +1 more source