Global Well-Posedness of a Conservative Relaxed Cross Diffusion System
نویسندگان
چکیده
منابع مشابه
Global Well-Posedness of a Conservative Relaxed Cross Diffusion System
We prove global existence in time of solutions to relaxed conservative cross diffusion systems governed by nonlinear operators of the form ui → ∂tui − ∆(ai(ũ)ui) where the ui, i = 1, ..., I represent I density-functions, ũ is a spatially regularized form of (u1, ..., uI) and the nonlinearities ai are merely assumed to be continuous and bounded from below. Existence of global weak solutions is o...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2012
ISSN: 0036-1410,1095-7154
DOI: 10.1137/110848839