Hi! My name is Leah Kurki Schätzler and I am an assistant professor (tenure track) at the University of Lisbon. Previously, I was the PI of the project Evolutionary problems in noncylindrical domains within the Erwin Schrödinger program of the Austrian Science Fund FWF.
My research area is the study of Partial Differential Equations (PDEs) in connection with the Calculus of Variations. More precisely, I am concerned with existence and regularity theory for a wide class of nonlinear parabolic PDEs and systems. In this context, I investigate the effects of a degenerate or singular behavior of the equations. Recently, I focused on phenomena arising from an evolution of the underlying domain in time. Important models of the considered PDEs include the porous medium equation, the parabolic p-Laplacian and certain doubly nonlinear PDEs. They appear in a variety of applications, such as fluid dynamics, filtration processes and models of glaciers.
arxiv, Google Scholar, MathSciNet, ORCID , Mathematics Genealogy project
Email: laschatzler (at) ciencias (dot) ulisboa (dot) pt
Address: Department of Mathematics, University of Lisbon, Campo Grande, 1749 016 Lisboa, Portugal