Global existence of solutions for a strongly coupled quasilinear parabolic system
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Publication:3203419
DOI10.1016/0362-546X(90)90043-GzbMath0716.35034OpenAlexW1979599605MaRDI QIDQ3203419
Tesei, Alberto, Maria Assunta Pozio
Publication date: 1990
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(90)90043-g
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Population dynamics (general) (92D25) Initial value problems for second-order parabolic systems (35K45)
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Turing bifurcation in a system with cross diffusion ⋮ On triangular reaction cross-diffusion systems with possible self-diffusion ⋮ Global solution to some quasilinear parabolic system in population dynamics ⋮ Global solutions for quasilinear parabolic systems with cross-diffusion effects ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Global smooth solutions for triangular reaction-cross diffusion systems ⋮ Coexistence theorem of steady states for nonlinear self-cross diffusion systems with competitive dynamics. ⋮ Existence result for degenerate cross-diffusion system with application to seawater intrusion ⋮ Global solutions to a system of strongly coupled reaction-diffusion equations ⋮ Well posedness of general cross-diffusion systems ⋮ Local existence, uniqueness and regularity for a class of degenerate parabolic systems arising in biological models ⋮ Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion ⋮ Diffusive and nondiffusive population models ⋮ Analysis for a system of coupled reaction-diffusion parabolic equations arising in biology ⋮ Invariant regions for quasilinear reaction-diffusion systems and applications to a two population model ⋮ Hölder regularity for certain strongly coupled parabolic systems ⋮ New results for triangular reaction cross diffusion system ⋮ Spatial inhomogenity due to Turing bifurcation in a system of Gierer-Meinhardt type
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