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math.AP2009
An Overview on Some Results Concerning the Transport Equation and its Applications to Conservation Laws
Gianluca Crippa, Laura V. Spinolo
We provide an informal overview on the theory of transport equations with non smooth velocity fields, and on some applications of this theory to the well-posedness of hyperbolic sy…
math.AP2009
Some new well-posedness results for continuity and transport equations, and applications to the chromatography system
Luigi Ambrosio, Gianluca Crippa, Alessio Figalli +1
We obtain various new well-posedness results for continuity and transport equations, among them an existence and uniqueness theorem (in the class of strongly continuous solutions)…