Nonuniqueness of solutions of the Navier-Stokes equations on negatively curved Riemannian manifolds

Autor:	Lichtenfelz, Leandro
Rok vydání:	2015
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics 76D05 (Primary) 32Q05 (Secondary)
Druh dokumentu:	Working Paper
Popis:	In a well-known work, M. Anderson constructed a Hadamard manifold $(M^n, g)$ which carries non-zero $L^2$ harmonic $p$-forms when $p \neq n/2$, thus disproving the Dodziuk-Singer conjecture. In this paper, we use the manifold $(M^3, g)$ in order to solve another problem in geometric analysis, namely the nonuniqueness of solutions of Leray-Hopf type of the Navier-Stokes equations. Comment: 12 pages, submitted. All comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1502.06269 Zobrazit plný text záznamu View this record from Arxiv