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Semiclassical limit for generalized KdV equations before the gradient catastrophe
Semiclassical limit generalized KdV equations the gradient catastrophe Analysis of PDEs
2011/8/24
Abstract: We study the semiclassical limit of the (generalised) KdV equation, for initial data with Sobolev regularity, before the time of the gradient catastrophe of the limit conservation law. In pa...
Gradient Catastrophe and Fermi Edge Resonances in Fermi Gas
Gradient Catastrophe Fermi Edge Resonances Fermi Gas
2010/11/19
A smooth spatial disturbance of the Fermi surface in a Fermi gas inevitably becomes sharp. This
phenomenon, called the gradient catastrophe, causes the breakdown of a Fermi sea to disconnected parts ...