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Generalized solutions for the Euler equations in one and two dimensions

✍ Scribed by Marc Bernot; Alessio Figalli; Filippo Santambrogio


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
741 KB
Volume
91
Category
Article
ISSN
0021-7824

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In this article, we study the Cauchy problem of generalized Boussinesq equations. We prove the local existence in time in Sobolev and weighted Sobolev space through Fourier transforms. Then our main result is to prove that the supremum Ε½ . norm of the solution n, Β¨with sufficiently small and regular