Delta shock waves for some general 2x2 system of conservation laws

• Grant number: 16/19502-4
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2017
• End date: February 28, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Marcelo Martins dos Santos
• Grantee: Richard Alexander de La Cruz Guerrero
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

In this proposal we intend to investigate specific conditions to guarantee existence and uniqueness of delta shock wave for the Riemann problem associated to some general 2x2 systems of conservation laws in regions where do not existclassical solutions, to obtain (to proof) some theorem in this regard an write a paper in order to submit for publication in a good international journal. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DE LA CRUZ, RICHARD; SANTOS, MARCELO; ABREU, EDUARDO. Interaction of delta shock waves for a nonsymmetric Keyfitz-Kranzer system of conservation laws. MONATSHEFTE FUR MATHEMATIK, v. 194, n. 4, FEB 2021. (16/19502-4, 19/20991-8)

DE LA CRUZ, RICHARD; SANTOS, MARCELO. Delta shock waves for a system of Keyfitz-Kranzer type. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, v. 99, n. 3, MAR 2019. (16/19502-4)