A free boundary problem describing S-K-T competition ecological model with cross-diffusion

DOI10.1016/j.nonrwa.2018.06.010zbMath1414.35245OpenAlexW2883773369MaRDI QIDQ1729144

Qi-Jian Tan

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.06.010

zbMATH Keywords

Galerkin methoddiscontinuous coefficientsfixed point theoremfree boundarycross-diffusion

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

The regularity of weak solutions for certain \(n\)-dimensional strongly coupled parabolic systems ⋮ Dynamic transitions for the S-K-T competition system ⋮ Two-species nonlocal cross-diffusion models with free boundaries ⋮ Global existence of classical solutions for a class of diffusive ecological models with two free boundaries and cross-diffusion ⋮ A class of invasion models in ecology with a free boundary and with cross-diffusion and self-diffusion

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