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Abstract:

W. D. Hibler proposed a viscous-plastic model for sea ice dynamics in 1979. The aim of this talk is to show that this model, viewed as a quasilinear evolution equation, is locally strongly well-posed provided some suitable regularization is employed. After presenting the model and providing the setting, we will discuss the operator associated to the internal ice stress. We will then prove that the linearization of this quasilinear second order operator subject to Dirichlet boundary conditions satisfies certain ellipticity conditions. This yields maximal $L^p$-regularity of the linearized operator and also implies maximal $L^p$-regularity of the system matrix in a second step. We will complete the proof by estimating the nonlinear terms and using solution theory for abstract quasilinear parabolic problems. This talk is based on joint work with K. Disser, R. Haller-Dintelmann and M. Hieber.

Wann?

25. November 2021, 14:00-15:30

Wo?

TU Darmstadt Mathematikgebäude
S2/15 Raum 51
Schlossgartenstr. 7
64289 Darmstadt

Veranstalter

FB Mathematik, AG Analysis

 

25
November
2021
14:00-15:30

Tags

Mathematik, AG Analysis