Hyperbolic Approximation of the Navier-Stokes-Fourier system: hypocoercivity and hybrid Besov spaces
Next Thursday November 9, 2023 our postdoctoral researcher Dr. Timothée Crin-Barat will talk on “Hyperbolic Approximation of the Navier-Stokes-Fourier system: hypocoercivity and hybrid Besov spaces” at the conference “Critical phenomena in nonlinear partial differential equations, harmonic analysis and functional inequalities” in honour of Prof. Takayoshi Ogawa on his 60th birthday.
Abstract. 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 techniques from the hypocoercivity theory and a precise frequency decomposition of the solutions via the Littlewood-Paley theory.
This is a joint work with S. Kawashima, J. Xu and E. Zuazua
Thu. November 9, 2023 at 14:20H
Exhibition hall I-A,B.
Exhibition Building. Sendai International Center.
Aobayama, Aoba Ward, Sendai, Miyagi 980-0856