Stochastic partial differential equations

• Grant number: 13/15795-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: September 15, 2013
• End date: October 14, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Christian Horacio Olivera
• Grantee: Christian Horacio Olivera
• Visiting researcher: Wladimir Augusto das Neves
• Visiting researcher institution: Universidade Federal do Rio de Janeiro (UFRJ). Instituto de Matemática (IM) , Brazil
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• City of the host institution: Campinas

Abstract

We are interested in stochastic partial differential. In particular, the transport and continuity equation via renormalization theory of Di Perna-Lions. Moreover, we are interested in stochastic conservation law. (AU)

Scientific publications

(4)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

FEDRIZZI, ENNIO; NEVES, WLADIMIR; OLIVERA, CHRISTIAN. On a class of stochastic transport equations for L-loc(2) vector fields. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, v. 18, n. 2, p. 397-419, 2018. (13/15795-9, 12/18739-0)

NEVES, WLADIMIR; OLIVERA, CHRISTIAN. Wellposedness for stochastic continuity equations with Ladyzhenskaya-Prodi-Serrin condition. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, v. 22, n. 5, p. 1247-1258, OCT 2015. (13/15795-9, 12/18739-0, 12/18780-0)

NEVES, WLADIMIR; OLIVERA, CHRISTIAN. Initial-boundary value problem for stochastic transport equations. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, v. 9, n. 3, p. 674-701, SEP 2021. (15/07278-0, 17/17670-0, 13/15795-9)

NEVES, WLADIMIR; OLIVERA, CHRISTIAN. Initial-boundary value problem for stochastic transport equations. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, SEP 2020. (13/15795-9, 15/07278-0, 17/17670-0)