Das Fakultätskolloquium

Für diese Reihe lädt die Fakultät renommierte Mathematikerinnen und Mathematiker zu Vorträgen ein, in denen aktuelle Entwicklungen der Forschung einem nicht spezialisierten Publikum vorgestellt werden. Es sind nicht nur Professor(inn)en und Mitarbeiter(innen) sondern auch Studierende und Interessierte anderer Fakultäten herzlich willkommen. Die Vorträge finden in der Regel während der Vorlesungszeit an den ersten Donnerstagen im Monat statt. Eine halbe Stunde vor Vortragsbeginn gibt es Tee, Kaffee und Gebäck im Sitzungszimmer des Dekanats (G02-215).

Nächstes Kolloquium

 


Prof. Dr. Josef Málek

24.10.2018 -

In the first half of the 19th century Navier and Stokes formulated the equations that describe the flow of water and many other incompressible liquids under standard conditions. These equations now bear the names of their inventors. A century later Leray developed the mathematical foundations of the modern theory of the Navier-Stokes equations both for planar and three-dimensional flows. He introduced the concept of generalized solution to the Cauchy problem and proved its existence for arbitrary (sufficiently regular) data and for an arbitrary time interval. This concept not only reflects the physical assumptions used when deriving the equations but it also forms the basis for the construction of powerful numerical methods. Despite the undeniable success of the Navier-Stokes equations, there are many fluid-like incompressible materials that exhibit phenomena that can not be described by the Navier-Stokes equations. In order to describe these effects a number of models, which are more complicated than the Navier-Stokes equations, have been designed, developed, and used in relevant applications. The aim of this lecture is to survey recent developments, both in the area of theoretical continuum thermodynamics as well as in the field of PDE analysis, which have led to the development of Leray's programme beyond the Navier-Stokes equations.

Datum: 24.10.2018, Raum: G03-106, Zeit: 17:00

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Letzte Änderung: 25.04.2018 - Ansprechpartner:

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