[Dottorcomp] Seminari di Matematica Applicata, 13/01/2026, Moon-Jin Kang

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 13 Gennaio 2026, alle *ore 16* precise, presso l'aula Beltrami del
Dipartimento di Matematica,

Moon-Jin Kang (KAIST, Korea)

terrà un seminario dal titolo:

Well-posedness of small BV solutions to the isentropic Euler equations by
inviscid limits from Navier-Stokes.

Abstract:  In the realm of mathematical fluid dynamics, a formidable
challenge lies in establishing inviscid limits from the Navier-Stokes
equations to the Euler equations, wherein physically admissible solutions
can be discerned. The pursuit of solving this intricate problem,
particularly concerning singular solutions, persists in both compressible
and incompressible scenarios.
For the compressible flows, the well-posedness of Cauchy problem for
compressible Euler system from inviscid limit of Navier-Stokes remains is a
major open problem even within mono-dimensional framework with small BV
initial data.
In this talk, I will present a resolution of this problem in the 1D
isentropic case.
We will show the global well-posedness of entropy solutions with small BV
initial data within the broader class of inviscid limits of the associated
Navier-Stokes equations with locally bounded energy initial values.
The proof is based on the three main methodologies: the modified front
tracking algorithm; the a-contraction with shifts; the method of
compensated compactness. This is a joint work with Geng Chen (U. Kansas)
and Alexis Vasseur (UT-Austin).

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https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/