Anke Pietsch

Timothée Crin-Barat (FAU Erlangen-Nürnberg): Hyperbolic approximation of the Navier-Stokes-Fourier system: hypocoercivity and hybrid Besov spaces

Tuesday, 28.05.2024 14:15 im Raum SRZ 205

Mathematik und Informatik

We investigate the global well-posedness of partially dissipative hyperbolic systems and their associated relaxation limits. As we shall see, these systems can be interpreted as hyperbolic approximations of parabolic systems and provide an element of response to the infinite speed of propagation paradox arising in viscous fluid mechanics. To demonstrate this, we study a hyperbolic approximation of the multi-dimensional compressible Navier-Stokes-Fourier system and establish its hyperbolic-parabolic strong relaxation limit. For this purpose, we use and present techniques from the hypocoercivity theory and precise frequency decomposition of the solutions via the Littlewood-Paley theory

Angelegt am 04.04.2024 von Anke Pietsch
Geändert am 23.04.2024 von Anke Pietsch
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Kolloquium Holzegel/Seis/Weber