Monotone traveling waves for reaction-diffusion equations involving the curvature operator

DOI10.1186/s13661-015-0303-yzbMath1317.34093OpenAlexW2111525346WikidataQ59403779 ScholiaQ59403779MaRDI QIDQ2263738

Maurizio Garrione, Luís Sanchez

Publication date: 19 March 2015

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0303-y

zbMATH Keywords

lower and upper solutionstraveling wavesmean curvature operatorshooting arguments

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)

Related Items (10)

Wavefronts in traffic flows and crowds dynamics ⋮ Stability properties and dynamics of solutions to viscous conservation laws with mean curvature operator ⋮ Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form ⋮ Asymptotic study of critical wave fronts for parameter-dependent Born–Infeld models: physically predicted behaviors and new phenomena ⋮ Stationary fronts and pulses for multistable equations with saturating diffusion ⋮ Metastable patterns for a reaction-diffusion model with mean curvature-type diffusion ⋮ Monotone wave fronts for \((p, q)\)-Laplacian driven reaction-diffusion equations ⋮ Saturated fronts in crowds dynamics ⋮ Wavefront solutions to reaction-convection equations with Perona-Malik diffusion ⋮ Vanishing diffusion limits for planar fronts in bistable models with saturation

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