sYMPOSIUM #11: FRACTIONAL VISCOELASTICITY

Magda Rebelo¹, M. Luísa Morgado², Luís Lima Ferrás³

¹Centro de Matemática e Aplicações (CMA) and Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa, Portugal, msjr at fct.unl.pt

²CEMAT, Instituto Superior Técnico, Universidade de Lisboa & Departamento de Matemática, Universidade de Trás-os-Montes e Alto Douro, UTAD, Vila Real, Portugal, luisam at utad.pt

³Centro de Matemática, Universidade do Minho (CMAT), Portugal, luislimafr at gmail.com

Description:

Viscoelastic fluids are abundant in nature and play an important role in our daily lives. Examples include paints, food and plastic products, saliva, DNA, etc. Due to the hereditary properties of fractional operators and of viscoelastic materials, these fractional operators are now a hot topic in the modelling of viscoelasticity. Therefore, the organizers of this session welcome any theoretical and numerical contributions to the topics of fractional viscoelasticity and fluid dynamics.

Topics include (but are not limited to):

• Development of fractional viscoelastic models
• Application of special functions from fractional calculus in the context of fluid dynamics
• Integral and differential constitutive equations
• Analytical solutions (considering classical and fractional operators)
• New numerical methods for fractional viscoelastic flows
• Classical methods and computational fluid dynamics
• Experimental studies with viscoelastic models