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- W1966256948 abstract "We note that for classical solutions of hyperbolic symmetric quasilinear systems, the blowup rate of the gradient at a point M=(x,T) (T being the lifespan) cannot be smaller than C(M,u(M))(T−t)−1 (C is the minimal growth constant). This allows us also to introduce blowup wave fronts WF∗(u) (in the cotangent to the (x,t) space) and WF∗(u) (in the tangent to the u space). Several examples and open questions are discussed. Nous remarquons que, pour des solutions classiques de systèmes symétriques hyperboliques, la vitesse d'explosion du gradient en un point M=(x,T) (T étant le temps de vie) ne peut être inférieure à C(M,u(M))(T−t)−1 (C est la constante d'explosion minimale). Cela nous permet également d'introduire les fronts d'onde à l'explosion WF∗(u) (dans l'espace cotangent à (x,t) ) et WF∗(u) (dans l'espace tangent à l'espace des u ). Nous discutons divers exemples et questions ouvertes." @default.
- W1966256948 created "2016-06-24" @default.
- W1966256948 creator A5057221452 @default.
- W1966256948 date "2000-10-01" @default.
- W1966256948 modified "2023-09-30" @default.
- W1966256948 title "Remarks on the blowup rate of classical solutions to quasilinear multidimensional hyperbolic systems" @default.
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- W1966256948 doi "https://doi.org/10.1016/s0021-7824(00)00171-9" @default.
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