Group analysis of nonlinear viscoelastic media equations

• Grant number: 12/21475-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: August 03, 2013
• End date: September 04, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Yuri Dimitrov Bozhkov
• Grantee: Yuri Dimitrov Bozhkov
• Visiting researcher: Vladislav Vasilievich Pukhnachev
• Visiting researcher institution: Siberian Branch of the Russian Academy of Sciences (SB RAS), Russia
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We shall study boundary value problems involving nonlinear partial differential equations in viscoelasticity, in particular, Maxwell and Kelvin-Voigt media equations, via S. Lie symmetry theory of deferential equations. (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)

BOZHKOV, YU D.; PUKHNACHEV, V. V.. Group analysis of equations of motion of aqueous solutions of polymers. DOKLADY PHYSICS, v. 60, n. 2, p. 77-80, FEB 2015. (12/21475-4)

MOSHKIN, N. P.; PUKHNACHEV, V. V.; BOZHKOV, YU D.. On the unsteady, stagnation point flow of a Maxwell fluid in 2D. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, v. 116, p. 32-38, NOV 2019. (12/21475-4, 15/24589-9)