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Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
May 11, 2016 16:00, Moscow, Steklov Mathematical Institute, Room 530 (8 Gubkina)
 


On the continuity equation with non-Lipschitz vector field.

N. A. Gusev
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MP4 523.3 Mb

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N. A. Gusev


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Abstract: The talk will be devoted to the Cauchy problem for the continuity equation with a nearly incompressible BV vector field. This class of vector fields is related to the theory of hyperbolic conservation laws, and it was studied by R.J. DiPerna, P.-L. Lions, L. Ambrosio and many others. We will discuss some new sufficient conditions for uniqueness of weak solutions, obtained in collaboration with S. Bianchini and P. Bonicatto.

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