Open AccessSpatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system
Author(s) -
Léo Girardin,
Danielle Hilhorst
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022088
Subject(s) - limit (mathematics) , traveling wave , limiting , bistability , compact space , nonlinear system , mathematics , mathematical analysis , boundary (topology) , class (philosophy) , boundary value problem , physics , computer science , quantum mechanics , engineering , mechanical engineering , artificial intelligence
The paper is concerned with a singular limit for the bistable traveling wave problem in a very large class of two-species fully nonlinear parabolic systems with competitive reaction terms. Assuming existence of traveling waves and enough compactness, we derive and characterize the limiting problem. The assumptions and results are discussed in detail. The free boundary problem obtained at the limit is specified for important applications.