Control and decay for partial differential equation systems

• Grant number: 10/10087-8
• Support Opportunities: Regular Research Grants
• Start date: September 01, 2010
• End date: August 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Bianca Morelli Rodolfo Calsavara
• Grantee: Bianca Morelli Rodolfo Calsavara
• Host Institution: Faculdade de Ciências Aplicadas (FCA). Universidade Estadual de Campinas (UNICAMP). Limeira , SP, Brazil

Abstract

In this project we will deal with problems involving questions about asymptotic behavior of solutions and about (null, exact and/or approximated) controllability for several parabolic and/or hyperbolic partial differential equation systems. Besides, the differential equations of these systems can be nonlinear equations. In general, it will be treated systems related to physical models. For instance, systems related to solid-liquid phase change model (in particular, phase-field models for solidification of purê materials or alloys with two different kind of crystallization allowed), viscoelastic systems, thermoelastic systems, etc. (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)

RODOLFO CALSAVARA, BIANCA MORELLI; BOLDRINI, JOSEE LUIZ. ON A SYSTEM COUPLING TWO-CRYSTALLIZATION ALLEN-CAHN EQUATIONS AND A SINGULAR NAVIER-STOKES SYSTEM. COMMUNICATIONS IN MATHEMATICAL SCIENCES, v. 12, n. 2, p. 257-277, 2014. (10/10087-8)

RODOLFO CALSAVARA, BIANCA MORELLI; BOLDRINI, JOSE LUIZ. SOLUTIONS OF AN ADVECTED PHASE FIELD SYSTEM WITH LOW REGULARITY VELOCITY. Proceedings of the American Mathematical Society, v. 141, n. 3, p. 943-958, MAR 2013. (10/10087-8)