Uniqueness of rarefaction waves in multidimensional compressible Euler system

0448120 - MÚ 2016 RIV US eng J - Článek v odborném periodiku
Feireisl, Eduard - Kreml, Ondřej
Uniqueness of rarefaction waves in multidimensional compressible Euler system.
Journal of Hyperbolic Differential Equations. Roč. 12, č. 3 (2015), s. 489-499. ISSN 0219-8916. E-ISSN 1793-6993
Grant CEP: GA ČR GA13-00522S
GRANT EU: European Commission(XE) 320078 - MATHEF
Institucionální podpora: RVO:67985840
Klíčová slova: compressible Euler system * uniqueness * rarefaction wave * Riemann problem
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.556, rok: 2015
http://www.worldscientific.com/doi/abs/10.1142/S0219891615500149

We show that 1-D rarefaction wave solutions are unique in the class of bounded entropy solutions to the multidimensional compressible Euler system. Such a result may be viewed as a counterpart of the recent examples of non-uniqueness of the shock wave solutions to the Riemann problem, where infinitely many solutions are constructed by the method of convex integration.
Trvalý link: http://hdl.handle.net/11104/0249843