Stability Results for a Diffusion Equation With Functional Drift Approximating a Chemotaxis Model
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Publication:3759253
DOI10.2307/2000597zbMath0622.35034OpenAlexW4253873809MaRDI QIDQ3759253
Wolfgang Alt, James M. Greenberg
Publication date: 1987
Full work available at URL: https://doi.org/10.2307/2000597
existenceshock wavesunique stationary solutionHopf-Cole transformationhyperbolic-parabolic systemlocally stableaggregation of motile cellsdiffusible chemoattractantdiffusion equation including a drift term
Nonlinear parabolic equations (35K55) Shocks and singularities for hyperbolic equations (35L67) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Chemistry (92Exx)
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