Singular limits of the compressible fluid models
Speaker 
Nilasis Chaudhuri, Technische Universitat, Berlin


When 
Dec 31, 2019
from 04:00 PM to 05:00 PM 
Where  LH 006 
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Abstract: In this talk I explain the study of singular limits for a scaled barotropic Euler system modelling a rotating, compressible and inviscid fluid, where Mach number \(=\epsilon^m \), Rossby number \(=\epsilon \) and Froude number \(=\epsilon^n \) are proportional to a small parameter \(\epsilon\rightarrow 0\) and \( m,n\in \mathbb{N} \). I consider the fluid is confined to an infinite slab, the limit behaviour is identified as the incompressible Euler system. For wellprepared initial data, the convergence is shown on the life span time interval of the strong solutions of the target system, whereas a class of generalized dissipative solutions is considered for the primitive system. The technique can be adapted to the compressible NavierStokes system in the subcritical range of the adiabatic exponent \(\gamma\) with \(1<\gamma\leq\frac{3}{2}\), where the weak solutions are not known to exist.