Almost global existence for 2-D incompressible isotropic elastodynamics
نویسندگان
چکیده
منابع مشابه
Almost Global Existence for 2-d Incompressible Isotropic Elastodynamics
We consider the Cauchy problem for 2-D incompressible isotropic elastodynamics. Standard energy methods yield local solutions on a time interval [0, T/ε] for initial data of the form εU0, where T depends only on some Sobolev norm of U0. We show that for such data there exists a unique solution on a time interval [0, exp T/ε], provided that ε is sufficiently small. This is achieved by careful co...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2015
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/6294