New Directions in Mathematical Fluid Mechanics

0333109 - MÚ 2010 RIV CH eng M - Monography Chapter
Feireisl, Eduard - Vasseur, A.
New perspectives in fluid dynamics : mathematical analysis of a model proposed by Howard Brenner.
New Directions in Mathematical Fluid Mechanics. Basel: Birkhäuser, 2010, s. 153-180. ISBN 978-3-0346-0151-1
R&D Projects: GA ČR GA201/08/0315; GA MŠMT LC06052
Institutional research plan: CEZ:AV0Z10190503
Keywords : Brenner's model * two-velocities approach * global existence
Subject RIV: BA - General Mathematics
http://link.springer.com/chapter/10.1007%2F978-3-0346-0152-8_9

A new model of a compressible fluid proposed by Howard Brenner is investigated. In a series of papers [3], [4], [5], Howard Brenner proposed a daring new approach to continuum fluid mechanics based on the concept of two different velocities: the mass-based (Eulerian) mass velocity vm derived from the classical notion of mass transport, and the fluid-based (Lagrangian) volume velocity v associated to the motion of individual particles (molecules). According to overwhelming majority of standard works and research studies on continuum fluid mechanics, these two velocities are implicitly assumed to be one and the same entity.
Permanent Link: http://hdl.handle.net/11104/0178177