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On uniqueness of dissipative solutions to the isentropic Euler system
- 1.0508339 - MÚ 2020 RIV US eng J - Článek v odborném periodiku
Feireisl, Eduard - Ghoshal, S.S. - Jana, A.
On uniqueness of dissipative solutions to the isentropic Euler system.
Communications in Partial Differential Equations. Roč. 44, č. 12 (2019), s. 1285-1298. ISSN 0360-5302. E-ISSN 1532-4133
Grant CEP: GA ČR(CZ) GA18-05974S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible fluid * dissipative solution * Euler system * weak solution
Obor OECD: Pure mathematics
Impakt faktor: 1.079, rok: 2019
Způsob publikování: Omezený přístup
http://dx.doi.org/10.1080/03605302.2019.1629958
The dissipative solutions can be seen as a convenient generalization of the concept of weak solution to the isentropic Euler system. They can be seen as expectations of the Young measures associated to a suitable measure-valued solution of the problem. We show that dissipative solutions coincide with weak solutions starting from the same initial data on condition that: (i) the weak solution enjoys certain Besov regularity, (ii) the symmetric velocity gradient of the weak solution satisfies a one-sided Lipschitz bound.
Trvalý link: http://hdl.handle.net/11104/0299270
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