Stability analysis for a nonlinear continuity equation

Speaker(s)

Grzegorz Jamróz

Affiliation

Uniwersytet Warszawski

Date

Jan. 9, 2014, 12:30 p.m.

Room

room 4060

Seminar

Seminar of Mathematical Physics Equations Group

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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.

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