Partial Differential Equations and Fluid Mechanics

doi:10.1017/CBO9781139107112

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Dang, Quang A and Hoang, Manh Tuan 2018. Lyapunov direct method for investigating stability of nonstandard finite difference schemes for metapopulation models. Journal of Difference Equations and Applications, Vol. 24, Issue. 1, p. 15.

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Edited by James C. Robinson, University of Warwick, José L. Rodrigo, University of Warwick

Publisher:: Cambridge University Press
Online publication date:: September 2011
Print publication year:: 2009
Online ISBN:: 9781139107112
DOI:: https://doi.org/10.1017/CBO9781139107112

Subjects:: Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Fluid Dynamics and Solid Mechanics
Series:: London Mathematical Society Lecture Note Series (364)

62.99 (GBP)

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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 organised 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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Partial Differential Equations and Fluid Mechanics

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-vi

Contents
pp vii-viii

Preface
pp ix-ix

List of contributors
pp x-xii

1 - Shear flows and their attractors
pp 1-25

2 - Mathematical results concerning unsteady flows of chemically reacting incompressible fluids
pp 26-53

3 - The uniqueness of Lagrangian trajectories in Navier–Stokes flows
pp 54-63

4 - Some controllability results in fluid mechanics
pp 64-80

5 - Singularity formation and separation phenomena in boundary layer theory
pp 81-120

6 - Partial regularity results for solutions of the Navier–Stokes system
pp 121-145

7 - Anisotropic Navier–Stokes equations in a bounded cylindrical domain
pp 146-184

8 - The regularity problem for the three-dimensional Navier–Stokes equations
pp 185-206

9 - Contour dynamics for the surface quasi-geostrophic equation
pp 207-227

10 - Theory and applications of statistical solutions of the Navier–Stokes equations
pp 228-257

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Partial Differential Equations and Fluid Mechanics

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