Computational visualization of Shnirelman's compactly supported weak solution

Autor(es)

Bronzi, Anne C. ^[1] ; Lopes Filho, Milton C. ^[1] ; Lopes, Helena J. Nussenzveig ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, BR-13083859 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA D-NONLINEAR PHENOMENA; v. 237, n. 14-17, p. 1989-1992, AUG 15 2008.
• Citações Web of Science: 1

Resumo

In {[}A. Shnirelman, On the non-uniqueness of weak solutions of Euler equations, Comm. Pure Appl. Math. L (1997) 1261-1286], Shnirelman described the construction of a weak solution of the 2D incompressible Euler equations on a torus, with compact support in time. In this article, we use computational tools to obtain an explicit approximation of Shnirelman's flow, with the objective of visualizing its structure. In particular, the construction was based on the use of the 2D inverse energy cascade, and we obtain an illustration on how the inverse cascade is taking place. (C) 2008 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 05/58136-9 - Soluções oscilatórias e transporte irregular em dinâmica dos fluidos incompressível
• Beneficiário: Anne Caroline Bronzi
• Modalidade de apoio: Bolsas no Brasil - Doutorado Direto