Uniform higher order estimates for the sharp interface limit of a Navier-Stokes/Allen-Cahn system
Helmut Abels (University of Regensburg)
| Mon May 18, 13:40-15:10 (3 weeks from now) | |
| Lecture held in Room K3, Faculty of Mathematics and Physics, Charles University, Sokolovská 83 Prague 8.. |
Abstract: We consider the linearized system for the sharp interface limit of a Navier-Stokes/Allen-Cahn system around a suitable approximate solution. With the aid of a suitable weight taking the distance to the interface and the interfacial thickness into account we obtain optimal regularity estimates, which are uniformy in the interfacial thickness. This enables to improve previous convergence results in two space dimensions significantly and extend results to three space dimensions. This is a joint-work with Mingwen Fei, Yadong Liu, and Maximilian Moser.
MathematicsPhysics
Audience: researchers in the topic
Nečas Seminar on Continuum Mechanics
Series comments: This seminar was founded on December 14, 1966.
Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor)
| Organizers: | Miloslav Feistauer, Petr Knobloch, Martin Kružík*, Šárka Nečasová* |
| *contact for this listing |