English

Weak solutions to problems involving inviscid fluids

Analysis of PDEs 2015-03-16 v1

Abstract

We consider an abstract functional-differential equation derived from the pressure-less 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.

Keywords

Cite

@article{arxiv.1503.04102,
  title  = {Weak solutions to problems involving inviscid fluids},
  author = {Eduard Feireisl},
  journal= {arXiv preprint arXiv:1503.04102},
  year   = {2015}
}
R2 v1 2026-06-22T08:52:25.029Z