The formation of shocks in 3-dimensional fluids

This monograph considers the relativistic Euler equations in three space dimensions for a perfect fluid with an arbitrary equation of state. The author considers initial data for these equations which outside a sphere coincide with the data corresponding to a constant state. Under suitable restricti...

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Đã lưu trong:
Sonraí Bibleagrafaíochta
Príomhúdar: Christodoulou, Demetrios
Formáid: Leabhar
Teanga:Undetermined
Foilsithe: Zurich European Mathematical Society 2007
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
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Achoimre:This monograph considers the relativistic Euler equations in three space dimensions for a perfect fluid with an arbitrary equation of state. The author considers initial data for these equations which outside a sphere coincide with the data corresponding to a constant state. Under suitable restriction on the size of the initial departure from the constant state, he establishes theorems that give a complete description of the maximal classical development.