Global generalized solutions for Maxwell-alpha and Euler-alpha equations
Analysis of PDEs
2012-01-13 v2 Functional Analysis
Abstract
We study initial-boundary value problems for the Lagrangian averaged alpha models for the equations of motion for the corotational Maxwell and inviscid fluids in 2D and 3D. We show existence of (global in time) dissipative solutions to these problems. We also discuss the idea of dissipative solution in an abstract Hilbert space framework.
Cite
@article{arxiv.1012.4599,
title = {Global generalized solutions for Maxwell-alpha and Euler-alpha equations},
author = {Dmitry Vorotnikov},
journal= {arXiv preprint arXiv:1012.4599},
year = {2012}
}
Comments
27 pages, to appear in Nonlinearity