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Mathematical aspects of fluid mechanics /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mathematical aspects of fluid mechanics // edited by James C. Robinson, José L. Rodrigo, Witold Sadowski.
other author:	Robinson, James C.
Description:	1 online resource (xv, 258 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Fluid mechanics - Mathematics. -
Online resource:	https://doi.org/10.1017/CBO9781139235792
ISBN:	9781139235792 (ebook)

Mathematical aspects of fluid mechanics /
Mathematical aspects of fluid mechanics /edited by James C. Robinson, José L. Rodrigo, Witold Sadowski. - 1 online resource (xv, 258 pages) :digital, PDF file(s). - London Mathematical Society lecture note series ;402. - London Mathematical Society lecture note series ;382..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

1. Towards fluid equations by approximate deconvolution models / L.C. Berselli -- 2. On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph / M. Bulíček, P. Gwiazda, J. Málek, K.R. Rajagopal and A. Świerczewska-Gwiazda -- 3. A continuous model for turbulent energy cascade / A. Cheskidov, R. Shvydkoy and S. Friedlander -- 4. Remarks on complex fluid models / P. Constantin -- 5. A naive parametrization for the vortex-sheet problem / A. Castro, D. Córdoba and F. Gancedo -- 6. Sharp and almost-sharp fronts for the SQG equation / C.L. Fefferman -- 7. Feedback stabilization for the Navier-Stokes equations: theory and calculations / A.V. Fursikov and A.A. Kornev -- 8. Interacting vortex pairs in inviscid and viscous planar flows / T. Gallay -- 9. Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations / J.D. Gibbon and D.D. Holm -- 10. Exploring symmetry plane conditions in numerical Euler solutions / R.M. Kerr and M.D. Bustamante -- 11. On the decay of solutions of the Navier-Stokes system with potential forces / I. Kukavica -- 12. Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data / G. Seregin.

The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier-Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.

ISBN: 9781139235792 (ebook)Subjects--Topical Terms:

676222
Fluid mechanics
--Mathematics.

LC Class. No.: QA901 / .M38 2012

Dewey Class. No.: 532.00151

Mathematical aspects of fluid mechanics /
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245 0 0 $a Mathematical aspects of fluid mechanics / $c edited by James C. Robinson, José L. Rodrigo, Witold Sadowski.
264 1 $a Cambridge : $b Cambridge University Press, $c 2012.
300 $a 1 online resource (xv, 258 pages) : $b digital, PDF file(s).
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490 1 $a London Mathematical Society lecture note series ; $v 402
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a 1. Towards fluid equations by approximate deconvolution models / L.C. Berselli -- 2. On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph / M. Bulíček, P. Gwiazda, J. Málek, K.R. Rajagopal and A. Świerczewska-Gwiazda -- 3. A continuous model for turbulent energy cascade / A. Cheskidov, R. Shvydkoy and S. Friedlander -- 4. Remarks on complex fluid models / P. Constantin -- 5. A naive parametrization for the vortex-sheet problem / A. Castro, D. Córdoba and F. Gancedo -- 6. Sharp and almost-sharp fronts for the SQG equation / C.L. Fefferman -- 7. Feedback stabilization for the Navier-Stokes equations: theory and calculations / A.V. Fursikov and A.A. Kornev -- 8. Interacting vortex pairs in inviscid and viscous planar flows / T. Gallay -- 9. Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations / J.D. Gibbon and D.D. Holm -- 10. Exploring symmetry plane conditions in numerical Euler solutions / R.M. Kerr and M.D. Bustamante -- 11. On the decay of solutions of the Navier-Stokes system with potential forces / I. Kukavica -- 12. Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data / G. Seregin.
520 $a The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier-Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.
650 0 $a Fluid mechanics $x Mathematics. $3 676222
700 1 $a Robinson, James C. $q (James Cooper), $d 1969- $3 1133594
700 1 $a Rodrigo Diez, José Luis, $d 1977- $e editor. $3 1442235
700 1 $a Sadowski, Witold $c (Mathematician), $e editor. $3 1442236
776 0 8 $i Print version: $z 9781107609259
830 0 $a London Mathematical Society lecture note series ; $v 382. $3 773477
856 4 0 $u https://doi.org/10.1017/CBO9781139235792