SIAM PDE seminar

The SIAM Activity Group on the Analysis of Partial Differential Equations and the SIAM Journal on Mathematical Analysis are pleased to present the Seminar in Analysis and Methods for PDE (SIAM PDE). The seminar is planned to be held on the first Thursday of the month at 11:30am EDT, except in August and January.

The talks are open to the public and, due to security reasons, all attendees have to register by following the link

All seminars will be recorded, with recordings available on a playlist on SIAM's YouTube site:

Schedule and Abstracts

  • September 3, 2020: Felix Otto

    Title: TBA.

  • July 2, 2020: Benoit Perthame

    Title: Multiphase models of living tissues and the Hele-Shaw limit

    Abstract: The mechanical modeling of living tissues has attracted much attention in the last decade. Applications include tissue repair and growth models of solid tumors. These models contain several levels of complexity, both in terms of the biological and mechanical effects, and therefore in their mathematical description. Multiphase models describe the dynamics of several types of cells, liquid, fibers (extra-cellular matrix) and both compressible and incompressible models are used in the literature.

    In this talk I shall discuss the analysis of multiphase models based on Darcy's assumption. The compactness issue leads us to use Aronson-Benilan estimate and to build new variants. I shall also discuss the incompressible limit in special cases and the associated free boundary problem.

    Biography: Benoit Perthame is a professor of mathematics at Sorbonne Universite in Paris and former director of the Laboratoire Jacques-Louis Lions. Before, he has been a professor at Ecole Normale Superieure and the founder of the team Bang at Institut National de la Recherche en Informatique et Automatique, a team focussed on mathematical modeling in life sciences. His research activities concern partial differential equations, the mathematical objects which serve to relate variations in space and time as they arise in fluid flows and heat transfer. He has introduced a new striking relationship between dilute flows (Boltzman equation) and dense flows (Euler equations). Recently, he has shown the important role played by nonlinear PDEs in a number of problems from biology such as cell motion and cell colonies' self-organization, Darwinian evolution, modeling tumor growth and therapy, and neural networks. He was a plenary speaker ICIAM (Vancouver 2011) and at ICM 2014 (Seoul). He was elected to the French Academy of Sciences in 2017.

  • June 4, 2020: John Ball

    Title: Some energy minimization problems for liquid crystals

    Abstract: The talk will discuss some energy minimization problems for liquid crystals described at different levels of detail by the probability density function of molecular orientations, by a tensor average of this function (the de Gennes Q tensor theory), and by the expected orientation of molecules (the Oseen-Frank theory).

    Biography: John Ball is Professor of Mathematics at Heriot-Watt University, Edinburgh, Emeritus Professor at the University of Oxford and Senior Fellow of the Hong Kong Institute for Advanced Study. His research interests lie in nonlinear analysis, the calculus of variations, infinite-dimensional dynamical systems, and their applications to materials science, including solid phase transformations and liquid crystals. He is a former President of the International Mathematical Union.