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Remarks on the breakdown of smooth solutions for the 3-D Euler equations

- J. T. Beale, Tosio Kato, A. Majda
- Mathematics
- 1 March 1984

The authors prove that the maximum norm of the vorticity controls the breakdown of smooth solutions of the 3-D Euler equations. In other words, if a solution of the Euler equations is initially… Expand

Compressible fluid flow and systems of conservation laws in several space variables

- A. Majda
- Mathematics
- 1984

Keywords: ecoulement : compressible ; chocs ; stabilite ; chocs ; mecanique des : fluides ; ecoulement ; theorie Reference Record created on 2005-11-18, modified on 2016-08-08

Vorticity and incompressible flow

- A. Majda, A. Bertozzi
- Mathematics
- 2001

Preface 1. An introduction to vortex dynamics for incompressible fluid flows 2. The vorticity-stream formulation of the Euler and the Navier-Stokes equations 3. Energy methods for the Euler and the… Expand

Oscillations and concentrations in weak solutions of the incompressible fluid equations

- R. J. Diperna, A. Majda
- Mathematics
- 1 December 1987

The authors introduce a new concept of measure-valued solution for the 3-D incompressible Euler equations in order to incorporate the complex phenomena present in limits of approximate solutions of… Expand

Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit

- S. Klainerman, A. Majda
- Materials Science
- 1 July 1981

Variable resistance control having wirewound resistance element with shorted end turns. A piece of metal secured to each end portion of an electrically nonconductive tape with a bonding material… Expand

Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar

- P. Constantin, A. Majda, E. Tabak
- Physics, Environmental Science
- 1 November 1994

The formation of strong and potentially singular fronts in a two-dimensional quasigeostrophic active scalar is studied through the symbiotic interaction of mathematical theory and numerical… Expand

Vorticity and Incompressible Flow: Index

- A. Majda, A. Bertozzi
- Mathematics
- 1 November 2001

This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. Although the… Expand

Monotone difference approximations for scalar conservation laws

- M. Crandall, A. Majda
- Mathematics
- 1 February 1979

Abstract : A complete self-contained treatment of the stability and convergence properties of conservation form, monotone difference approximations to scalar conservation laws in several space… Expand

Introduction to PDEs and Waves in Atmosphere and Ocean

- A. Majda
- Environmental Science, Geology
- 2003

Introduction Some remarkable features of stratified flow Linear and nonlinear instability of stratified flows with strong stratification Rotating shallow water theory Linear and weakly nonlinear… Expand

Compressible and incompressible fluids

- S. Klainerman, A. Majda
- Physics
- 1 September 1982

Incompressible fluid: are the fluids with constant density. They could be liquids and gases. Although there is no such thing in reality as an incompressible fluid, we use this term where the change… Expand

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