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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Detalhes bibliográficos
Autor principal: Christodoulou, Demetrios
Formato: Livro
Idioma:Undetermined
Publicado em: Zurich European Mathematical Society 2007
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
Descrição
Resumo: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.