Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems

Laurençot, Philippe   ; Matioc, Bogdan-Vasile

Archivum mathematicum, Tome 59 (2023) no. 2, pp. 201-213

Abstract (VO)

Bounded weak solutions to a particular class of degenerate parabolic cross-diffusion systems are shown to coincide with the unique strong solution determined by the same initial condition on the maximal existence interval of the latter. The proof relies on an estimate established for a relative entropy associated to the system.

Détail

DOI : 10.5817/AM2023-2-201

Classification : 35A02, 35K51, 35K65, 35Q35
Keywords: cross diffusion; weak-strong uniqueness; relative entropy

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