Lagrangian structure for a non-barotropic compressible fluid in two dimensions

Author(s)

Pedro Nel Maluendas Pardo

• Document type: Doctoral Thesis
• Press: Campinas, SP.
• Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica
• Defense date: 2013-07-19

Examining board members

Marcelo Martins dos Santos; Hermano Frid Neto; Wladimir Augusto das Neves; Ademir Pastor Ferreira; Olivâine Santana de Queiroz

• Advisor: Marcelo Martins dos Santos

Abstract

In this work we study the Lagrangian structure for weak solutions of Navier-Stokes equations for a non-barotropic compressible fluid in two dimensions, i.e., we prove the uniqueness of particle trajectories for two-dimensional compressible fluids, including the energy equation (tempera-ture variations). It extends previous results in [19] for the barotropic two dimensional case (AU)

• FAPESP's process: 09/15515-0 - Lagrangian Structure for Compressible Fluids
• Grantee: Pedro Nel Maluendas Pardo
• Support Opportunities: Scholarships in Brazil - Doctorate