32 citations · 38 across the 14 of their papers we have counts for
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math.AP2009★ 32 cited
Non-uniqueness of weak solutions for the fractal Burgers equation
Nathael Alibaud, Boris Andreïanov
The notion of Kruzhkov entropy solution was extended by the first author in 2007 to conservation laws with a fractional laplacian diffusion term; this notion led to well-posedness…
math.AP2009★ 2 cited
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations
Boris Andreianov, Mostafa Bendahmane, Kenneth H. Karlsen
We consider a class of doubly nonlinear degenerate hyperbolic-parabolic equations with homogeneous Dirichlet boundary conditions, for which we first establish the existence and uni…