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
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.