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Periodic Solutions to Reaction-Diffusion Equations
SIAM Journal on Applied Mathematics, 1976In this note we derive asymptotic formulas for rotating-spiral and axisymmetric, time-periodic solutions to reaction-diffusion systems.
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Adaptive FEM for reaction—diffusion equations
Applied Numerical Mathematics, 1998In the first part of the paper the author shortly presents some methods for solving mixed systems of nonlinear parabolic and elliptic differential equations. Especially a short comparison between the adaptive method of lines and Rothe's approach is presented. Then the author describes the time integrator and the finite element method (FEM) derived from
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Travelling Waves for Reaction Diffusion Equations
Journal of Partial Differential Equations, 1997The paper deals with the travelling wave solution \(u(x,t)=u(x+kt)\) \((k>0)\) of the reaction diffusion equation: \[ u_t=u_{xx}+f(x),\quad u(+\infty)=H\quad\text{and }u(-\infty)=0\quad\text{for some }H>0, \] where the nonlinear term \(f(u)\) is assumed to be Lipschitz continuous and to satisfy \(f(0)=f(H)=0\) and \(\int^H_0f(s)ds>0\).
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On the Solution of Reaction—Diffusion Equations
IMA Journal of Applied Mathematics, 1981openaire +1 more source
Blow-up phenomena for a reaction diffusion equation with special diffusion process
Applicable Analysis, 2022Yuzhu Han
exaly
“Strange term” in homogenization of attractors of reaction–diffusion equation in perforated domain
Chaos, Solitons and Fractals, 2020Kuanysh Abdrakhmanovich Bekmaganbetov +2 more
exaly
Shadow systems and attractors in reaction-diffusion equations
Applicable Analysis, 1989Jack K Hale
exaly