On kinetic formulation of first-order hyperbolic quasilinear systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On kinetic formulation of first-order hyperbolic quasilinear systems
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| Creator |
Panov, E.Yu.
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| Description |
We give kinetic formulation of measure valued and strong measure valued solutions to the Cauchy problem for a first-order quasilinear equation. For the corresponding kinetic equation the class of existence and uniqueness to the Cauchy problem is extracted. This class consists of so-called entropy solutions, which correspond to strong measure valued solutions of the original problem. In the last section we generalized these results to the case of symmetric generally nonconservative multidimensional systems and introduce the notion of a strong measure valued solution, based only on the kinetic approach under consideration.
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| Date |
2017-09-30T12:40:46Z
2017-09-30T12:40:46Z 2004 |
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| Type |
Article
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| Identifier |
On kinetic formulation of first-order hyperbolic quasilinear systems / E.Yu. Panov // Український математичний вісник. — 2004. — Т. 1, № 4. — С. 548-563. — Бібліогр.: 14 назв. — англ.
1810-3200 2000 MSC. 35L60, 35L45. http://dspace.nbuv.gov.ua/handle/123456789/124631 |
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| Language |
en
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| Relation |
Український математичний вісник
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| Publisher |
Інститут прикладної математики і механіки НАН України
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