Travelling fronts in cylinders and their stability
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Publication:1364276
DOI10.1216/rmjm/1181071953zbMath0913.35068OpenAlexW1975515298MaRDI QIDQ1364276
Congming Li, Yi Li, Jerrold W. Bebernes
Publication date: 25 August 1997
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-1/CONT27-1/CONT27-1.html
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35)
Related Items (20)
COMPLETE BLOW-UP AND THERMAL AVALANCHE FOR HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS ⋮ Qualitative properties of traveling wave solutions in delayed reaction-diffusion equations with degenerate monostable nonlinearity ⋮ Spatial decay and stability of traveling fronts for degenerate Fisher type equations in cylinder ⋮ The role of delay and degeneracy on propagation dynamics in diffusion equations ⋮ The existence and non-existence of traveling waves of scalar reaction-diffusion-advection equation in unbounded cylinder ⋮ Propagation dynamics in an integro-differential Fisher-KPP equation with degenerated reaction functions ⋮ Fujita blow up phenomena and hair trigger effect: the role of dispersal tails ⋮ Interaction of traveling curved fronts in bistable reaction-diffusion equations in \(\mathbb{R}^2\) ⋮ Spreading speeds and traveling waves for nonlocal dispersal equations with degenerate monostable nonlinearity ⋮ Global stability of critical-speed pulsating fronts for degenerate monostable reactions ⋮ Propagation dynamics of degenerate monostable equations in space-time periodic media ⋮ Slowing Allee effect versus accelerating heavy tails in monostable reaction diffusion equations ⋮ Global stability of wavefronts with minimal speeds for nonlocal dispersal equations with degenerate nonlinearity ⋮ Propagation dynamics of a time periodic diffusion equation with degenerate nonlinearity ⋮ Asymptotic spreading of a time periodic diffusion equation with degenerate monostable nonlinearity ⋮ Entire solutions in reaction-advection-diffusion equations in cylinders ⋮ The effect of initial values on extinction or persistence in degenerate diffusion competition systems ⋮ Entire solutions of reaction-advection-diffusion equations with bistable nonlinearity in cylinders ⋮ Qualitative properties of pulsating fronts for reaction-advection-diffusion equations in periodic excitable media ⋮ Interplay of nonlinear diffusion, initial tails and Allee effect on the speed of invasions
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