On the energy inequality for weak solutions to the Navier-Stokes equations of compressible fluids on unbounded domains

0447222 - MÚ 2016 RIV GB eng J - Článek v odborném periodiku
Dell'Oro, Filippo - Feireisl, Eduard
On the energy inequality for weak solutions to the Navier-Stokes equations of compressible fluids on unbounded domains.
Nonlinear Analysis: Theory, Methods & Applications. Roč. 128, November (2015), s. 136-148. ISSN 0362-546X. E-ISSN 1873-5215
Grant CEP: GA ČR GA13-00522S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible Navier-Stokes equations * unbounded domain * weak solutions * energy inequality
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.125, rok: 2015
http://www.sciencedirect.com/science/article/pii/S0362546X15002692

We consider the Navier–Stokes equations of compressible isentropic viscous fluids on an unbounded three-dimensional domain with a compact Lipschitz boundary. Under the condition that the total mass of the fluid is finite, we show the existence of globally defined weak solutions satisfying the energy inequality in differential form.
Trvalý link: http://hdl.handle.net/11104/0249122