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Existence of weak solutions for a general porous medium equation with nonlocal pressure 

Stan, D.; Del Teso, F.; Vázquez, J.L. (2017-10)
We study the general nonlinear diffusion equation $u_t=\nabla\cdot (u^{m-1}\nabla (-\Delta)^{-s}u)$ that describes a flow through a porous medium which is driven by a nonlocal pressure. We consider constant parameters ...

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AuthorDel Teso, F. (1)Stan, D. (1)Vázquez, J.L. (1)Subject
energy estimates (1)
existence of weak solutions (1)fractional Laplacian (1)Nonlinear fractional diffusion (1)numerical simulations (1)smoothing effect (1)speed of propagation (1)... másFecha2017 (1)

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