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Remarks on the breakdown of smooth solutions for the 3-D Euler equations
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
Compressible fluid flow and systems of conservation laws in several space variables
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
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
Oscillations and concentrations in weak solutions of the incompressible fluid equations
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
Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit
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
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
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
Vorticity and Incompressible Flow: Index
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
Monotone difference approximations for scalar conservation laws
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
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
Compressible and incompressible fluids
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