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Delayed singularity formation in solution of nonlinear wave equations in higher dimensions

โœ Scribed by Fritz John

Publisher
John Wiley and Sons
Year
1976
Tongue
English
Weight
972 KB
Volume
29
Category
Article
ISSN
0010-3640

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๐Ÿ“œ SIMILAR VOLUMES

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Formation of singularities in one-dimensional nonlinear wave propagation
โœ Fritz John ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 923 KB

The waves considered here are solutions of a first-order strictly hyperbolic system of differential equations, written in the form \* This work was performed at the Courant Institute and supported by the Office of Naval Research under Contract No. N00014-67-A-0467-0030. Reproduction in whole or in p

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The possible continuation of solutions of the nonlinear heat equation in after the blowup time is studied and the different continuation modes are discussed in terms of the exponents m and p. Thus, for m + p โ‰ค 2 we find a phenomenon of nontrivial continuation where the region {x : u(x, t) = โˆž} is b