Global solution to a singular integro-differential system related to the entropy balance
β Scribed by Elena Bonetti; Pierluigi Colli; Mauro Fabrizio; Gianni Gilardi
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 408 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
DiPerna [R.J. DiPerna, Global solutions to a class of nonlinear hyperbolic systems of equations, Comm. Rat. Pure Appl. Math. 26 (1973) 1-28] use the Glimm's scheme method to obtain a global weak solution to the Euler equations of one-dimensional, compressible fluid flow with 1 < Ξ³ < 3, while in this
## a b s t r a c t We present two global existence results for an initial value problem associated to a large class of fractional differential equations. Our approach differs substantially from the techniques employed in the recent literature. By introducing an easily verifiable hypothesis, we allo