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Stability analysis for a nonlinear continuity equation

Prelegent(ci)
Grzegorz Jamróz
Afiliacja
Uniwersytet Warszawski
Termin
9 stycznia 2014 12:30
Pokój
p. 4060
Seminarium
Seminarium Zakładu Równań Fizyki Matematycznej

We discuss the notion of stability of a nonlinear continuity equation with singular velocity considered in the measure-valued setting. A metric on measures, in which the solutions are continuous both in time and in respect to perturbation of the initial condition is constructed. Using this result, we propose a convergent scheme for numerical simulation of the equation.