Applied Fluid Mechanics Colloquium
Data: Ar, Api 29 2025
Ordua: 12:00
Lekua: Maryam Mirzakhani Seminar Room at BCAM
Hizlariak: Eduard Feireisl
Tittle:
SOLVING ILL POSED PROBLEMS IN FLUID MECHANICS
Abstract: The Euler and related systems in fluid mechanics describing the evolution of perfect fluids are known to be mathematically ill posed. Yet they are used in engineering applications and solved numerically. We review some bad and good news concerning the Euler system, in particular the existence of the so-called wild data. Then we try to apply some physically grounded admissibility criteria to recover the ideally unique physically relevant solutions. It turns out many of frequently used numerical methods actually give rise to solutions pertinent to fluids in the turbulent regime rather than being close to the desired solutions of the Euler system.
Hizlari baieztatuak:
Eduard Feireisl.
His research deals with partial differential equations, infinite dimensional dynamical systems and mathematical problems of hydrodynamics. He received in 2004 and 2009 the Prize of the Academy of Sciences of the Czech Republic, in 2015 the Neuron Award, and in 2017 the gold medal of Charles University, as well as the Bernard Bolzano Honorary Medal from the Czech Academy of Sciences. In 2012, he chaired the scientific committee of the European Congress of Mathematicians in Krakow. He was an invited speaker in 2002 at the International Congress of Mathematicians in Beijing and at the conference Dynamics, Equations and Applications in Kraków in 2019. In 2018 he was a member of the Fields Medal Selection Committee. In 2013 he received an Advanced Grant from the European Research Council (ERC) for the study of mathematical modeling of gas movement and heat exchange.
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