Weak solutions to problems involving inviscid fluids

0466768 - MÚ 2017 RIV JP eng C - Conference Paper (international conference)
Feireisl, Eduard
Weak solutions to problems involving inviscid fluids.
Mathematical Fluid Dynamics, Present and Future. Tokyo: Springer, 2016 - (Shibata, Y.; Suzuki, Y.), s. 377-399. Springer Proceedings in Mathematics & Statistics, 183. ISBN 978-4-431-56455-3. ISSN 2194-1009.
[International Conference on Mathematical Fluid Dynamics, Present and Future. Tokyo (JP), 11.11.2014-14.11.2014]
EU Projects: European Commission(XE) 320078 - MATHEF
Institutional support: RVO:67985840
Keywords : Euler system * weak solution * convex integration
Subject RIV: BA - General Mathematics
http://link.springer.com/chapter/10.1007/978-4-431-56457-7_13

We consider an abstract functional-differential equation derived from the pressureless Euler system with variable coefficients that includes several systems of partial differential equations arising in the fluid mechanics. Using the method of convex integration we show the existence of infinitely many weak solutions for prescribed initial data and kinetic energy.
Permanent Link: http://hdl.handle.net/11104/0265003