Seminário de Análise e Equações Diferenciais

Rate-independent systems and anisotropic dry friction

Sala 6.2.33, FCUL, Lisboa

Paolo Gidoni
CMAF-CIO, Universidade de Lisboa

Abstract: In this talk we discuss how the framework and techniques of rate-independent systems can be applied to models involving dry friction. After a quick overview on the motility of bio-inspired crawlers, we will focus on the genesis of an anisotropy in friction when the interaction is mediated by bristle-like elements. We illustrate a convergence result, showing the rate-independent nature of the limit of a family of systems characterized by a vanishing viscosity and a wiggly perturbation in the energy, scaling to zero. We then apply the result to some simple mechanical models, that exemplify the interaction of a bristle with a surface having small fluctuations, and discuss the effect of the geometry and elasticity of the bristle on the friction coefficients.

This seminar is supported by National Funding from FCT - Fundação para a Ciência e a Tecnologia, under the project: UID/MAT/04561/2013. 

CMAF-CIO - Centro de Matemática, Aplicações Fundamentais e Investigação Operacional

Objectives: This is a mostly practical course offering an overview on different community ecology and macroecological methods and software.

Objectives: This course introduces the field of island biogeography, a discipline that has long influenced other research areas such as macroecology, community ecology, evolution and conservation biology.

Objectives: This course offers an overview of the different ways to measure biodiversity, and provides tips for the stratification of primary biodiversity data and the construction of variables that describe its various facets.

Objectives: The course aims at enabling the participants to use different methods to measure the impacts of pollutants on ecosystems.

Objectives: Acquire knowledge regarding bioinformatic tools available to predict nucleic acid (RNA, DNA or Nucleic Acids Mimics) and protein three-dimensional structure, as well as autonomy and critical thinking in the use of those tools.

New date: 30 August - 03 September 2021.

This conference is the 22nd in the series of triennial conferences which bring together the Particle and Nuclear Physics communities.