Generalized Functions and Nonlinear Problems

• Grant number: 12/25444-6
• Support Opportunities: Organization Grants - Organization of Scientific Meeting
• Start date: July 10, 2013
• End date: July 13, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Alfredo Jorge Aragona Vallejo
• Grantee: Alfredo Jorge Aragona Vallejo
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• City of the host institution: São Paulo

Abstract

Program -Theory of generalized functions ( linear and nonlinear, algebraic properties, sharp topology, Schwartz and nuclear locally convex topologies on subalgebras,...),-Applications and possible applications to linear and nonlinear ordinary and partial differential equations ( stochastic equations, systems of continuum mechanics, asymptotic methods, approximate solutions, delta-waves,...),-Applications and possible applications to engineering problems ( shock waves, numerical methods and calculations, turbulence, multifluid flows,...),-Applications and possible applications to mathematical physics ( modelization, General Relativity, Quantum Field Theory). (AU)