Small-data shock formation in solutions to 3D quasilinear wave equations: an overview (Q2798337)
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scientific article; zbMATH DE number 6567357
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Small-data shock formation in solutions to 3D quasilinear wave equations: an overview |
scientific article; zbMATH DE number 6567357 |
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12 April 2016
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characteristic hypersurfaces
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eikonal function
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generalized energy estimates
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null condition
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vectorfield method
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Raychaudhuri equation
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Riccati equation
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Small-data shock formation in solutions to 3D quasilinear wave equations: an overview (English)
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The goal of this paper is to present an overview of \textit{D. Christodoulou}'s results [The formation of shocks in 3-dimensional fluids. Zürich: EMS Publishing House (2007; Zbl 1117.35001)] on shock formations and their more recent extensions for two important classes of quasilinear 3D wave equations.
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