On the solvability of a some non linear parabolic problems in the class of BV functions

Díaz Díaz, Jesús IldefonsoPadial Molina, Juan Francisco2023-06-202023-06-2019960044-2267https://hdl.handle.net/20.500.14352/574133rd International Congress on Industrial and Applied Mathematics (ICIAM 95)In this comunication we present some results on the uniqueness and existence of BV solutions for the Cauchy-Dirichlet problem associated to the nonlinear diffusion equation b(u)(t) - div(\del u - k(b(u))e\(p-2)(del u - k(b(u))e)) + g(x,u) = f(t,x). This problem arises in the study of some turbulent regimes. The solvability, of this problem is established in BV spaces.On the solvability of a some non linear parabolic problems in the class of BV functionsjournal articlehttp://www.wiley-vch.de/publish/en/journals/alphabeticIndex/2233/?sID=ohf3hm8vncmhg6084oequmdlt2metadata only access517.956.4Geometría diferencial1204.04 Geometría Diferencial