Partial differential equations and fluid mechanics

Partial differential equations and fluid mechanics

by Robinson, James C., (James Cooper) Rodrigo Diez, José Luis

Type Book
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Recent years have seen considerable research activity at the interface of mathematics and fluid mechanics, particularly partial differential equations. The 2007 workshop at the University of Warwick was organized to consolidate, survey and further advance the subject. This volume is an outgrowth of that workshop. It consists of a number of reviews and a selection of more traditional research articles. The result is an accessible summary of a wide range of active research topics written by leade…

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Title Statements

  • Full title :Partial differential equations and fluid mechanics / edited by James C. Robinson, José L. Rodrigo.

Summary

Recent years have seen considerable research activity at the interface of mathematics and fluid mechanics, particularly partial differential equations. The 2007 workshop at the University of Warwick was organized to consolidate, survey and further advance the subject. This volume is an outgrowth of that workshop. It consists of a number of reviews and a selection of more traditional research articles. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves as both a helpful overview for graduate students new to the area and a useful resource for more established researchers.

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Edition Statements

  • Publication Date:2009.

Publication Statements

Notes

"This volume is the result of a workshop, "Partial Differential Equations and Fluid Mechanics", which took place in the Mathematics Institute at the University of Warwick, May 21st-23rd, 2007"--Page ix.

Title from publishers bibliographic system (viewed on 13 Sep 2011).

The Physical Object

  • Description:1 online resource (xii, 257 s. : : illustrations

Edition Identifiers

  • ISBN:9781139107112, 1139107119
  • oclc:ocn939077650
  • Dewey Decimal:515.35

Table of Contents

1. Shear flows and their attractors -- 2. Mathematical results concerning unsteady flows of chemically reacting incompressible fluids -- 3. The uniqueness of Lagrangian trajectories in Navier-Stokes flows -- 4. Some controllability results in fluid mechanics -- 5. Singularity formation and separation phenomena in boundary layer theory -- 6. Partial regularity results for solutions of the Navier-Stokes system -- 7. Anisotropic Navier-Stokes equations in a bounded cylindrical domain -- 8. The regularity problem for the three-dimensional Navier-Stokes equations -- 9. Contour dynamics for the surface quasi-geostrophic equation -- 10. Theory and applications of statistical solutions of the Navier-Stokes equations.

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