[PDF.18rj] Shock Formation in Small-data Solutions to 3d Quasilinear Wave Equations (Mathematical Surveys and Monographs)
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Shock Formation in Small-data Solutions to 3d Quasilinear Wave Equations (Mathematical Surveys and Monographs)
[PDF.ux83] Shock Formation in Small-data Solutions to 3d Quasilinear Wave Equations (Mathematical Surveys and Monographs)
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| #4568544 in Books | 2016-12-07 | Original language:English | 10.25 x7.25 x1.25l, | File type: PDF | 515 pages||About the Author|Jared Speck, Massachusetts Institute of Technology, Cambridge, MA, USA.
In 1848 James Challis showed that smooth solutions to the compressible Euler equations can become multivalued, thus signifying the onset of a shock singularity. Today it is known that, for many hyperbolic systems, such singularities often develop. However, most shock-formation results have been proved only in one spatial dimension. Serge Alinhac's groundbreaking work on wave equations in the late 1990s was the first to treat more than one spatial dimension. In 2007, for ...
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