Results 61 to 70 of about 686 (96)

On a Cahn–Hilliard equation for the growth and division of chemically active droplets modelling protocells

European Journal of Applied Mathematics
The Cahn–Hilliard model with reaction terms can lead to situations in which no coarsening is taking place and, in contrast, growth and division of droplets occur which all do not grow larger than a certain size.
Harald Garcke, Kei Fong Lam, Robert Nürnberg, Andrea Signori   +3 more
doaj   +1 more source

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 2. The initial-boundary value problem on a finite domain

European Journal of Applied Mathematics
In the second part of this series of papers, we address the same evolution problem that was considered in part 1 (see [16]), namely the nonlocal Fisher-KPP equation in one spatial dimension, \begin{equation*} u_t = D u_{xx} + u(1-\phi *u), \end ...
David J. Needham, John Billingham
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

A geometric approach to pinned pulses in a class of non-autonomous reaction–diffusion equations

European Journal of Applied Mathematics
This paper develops a geometric and analytical framework for studying the existence and stability of pinned pulse solutions in a class of non-autonomous reaction–diffusion equations.
Yuanxian Chen, Jianhe Shen
doaj   +1 more source

Modelling microtube driven invasion of glioma. [PDF]

J Math Biol, 2023
Hillen T, Loy N, Painter KJ, Thiessen R.
europepmc   +1 more source

Coumarin Triazoles as Potential Antimicrobial Agents. [PDF]

Antibiotics (Basel), 2023
Patil SA, Nesaragi AR, Rodríguez-Berrios RR, Hampton SM, Bugarin A, Patil SA.   +5 more
europepmc   +1 more source

On Global Attraction to Stationary States for Wave Equations with Concentrated Nonlinearities. [PDF]

J Dyn Differ Equ, 2018
Kopylova E.
europepmc   +1 more source

Stable spike clusters for the precursor Gierer-Meinhardt system in R 2. [PDF]

Calc Var Partial Differ Equ, 2017
Wei J, Winter M, Yang W.
europepmc   +1 more source

Variational approach to coarse-graining of generalized gradient flows. [PDF]

Calc Var Partial Differ Equ, 2017
Duong MH, Lamacz A, Peletier MA, Sharma U.   +3 more
europepmc   +1 more source

Soybean fruit development and set at the node level under combined photoperiod and radiation conditions. [PDF]

J Exp Bot, 2016
Nico M, Mantese AI, Miralles DJ, Kantolic AG.   +3 more
europepmc   +1 more source