A variational approach to reaction-diffusion equations with forced speed in dimension 1

DOI10.3934/dcds.2015.35.1843zbMath1325.35096arXiv1310.3689OpenAlexW2963841201MaRDI QIDQ484411

Juliette Bouhours, Gregoire Nadin

Publication date: 7 January 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.3689

zbMATH Keywords

travelling wavesenergy functionalreaction-diffusion equationslong-time behaviour

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Variational methods applied to PDEs (35A15) Population dynamics (general) (92D25) Traveling wave solutions (35C07)

Related Items (9)

Population dynamics under climate change: persistence criterion and effects of fluctuations ⋮ Individual behavior at habitat edges may help populations persist in moving habitats ⋮ Exact solutions and critical behaviour for a linear growth-diffusion equation on a time-dependent domain ⋮ Recent developments on spatial propagation for diffusion equations in shifting environments ⋮ Phase separation patterns from directional quenching ⋮ Influence of a road on a population in an ecological niche facing climate change ⋮ Spreading and vanishing for a monostable reaction-diffusion equation with forced speed ⋮ When the Allee threshold is an evolutionary trait: persistence vs. extinction ⋮ Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary

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