A Priori Bounds and Global Existence for a Strongly Coupled Quasilinear Parabolic System Modeling Chemotaxis
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A priori bounds are found for solutions to a strongly coupled reaction-diffusion system that models competition of species in the presence of chemotaxis. These bounds are used to prove the existence of global solutions.
CitationKuiper, H. J. (2001). A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis. Electronic Journal of Differential Equations, 2001(52), pp. 1-18.
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