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New Directions in Mathematical Fluid Mechanics
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SYSNO ASEP 0333109 Document Type M - Monograph Chapter R&D Document Type Monograph Chapter Title New perspectives in fluid dynamics : mathematical analysis of a model proposed by Howard Brenner Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Vasseur, A. (FR)Source Title New Directions in Mathematical Fluid Mechanics. - Basel : Birkhäuser, 2010 - ISBN 978-3-0346-0151-1 Pages s. 153-180 Number of pages 27 s. Number of copy 300 Number of pages 444 Language eng - English Country CH - Switzerland Keywords Brenner's model ; two-velocities approach ; global existence Subject RIV BA - General Mathematics R&D Projects GA201/08/0315 GA ČR - Czech Science Foundation (CSF) LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000273355100010 DOI 10.1007/978-3-0346-0152-8_9 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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