Cel "This project focuses on several problems in Partial Differential Equations (PDEs) and the Calculus of Variations. These include:- Optimal transport and Monge-Ampère equations.In the last 30 years, the optimal transport problem has been found to be useful to several areasof mathematics. In particular, this problem is related to Monge-Ampère type equations, and understanding the regularity properties of solutions to such equations is an important question with applications to several other fields.- Stability in functional and geometric inequalities.Whether a minimizer of some inequality is ""stable'' in some suitable senseis an important issue in order to understand and/or predict the evolution in time of a physical phenomenon.For instance, quantitative stability results allow one to quantify the rate of convergence of a physical system to some steady state, and they can also be used to understand how much the system changes under the influence of exterior factors.- Di Perna-Lions theory and PDEs.The study of transport equations with rough coefficients is a very active research area. In particular, recent developments have been used to obtain new results on the semiclassical limit for the Schr\""odinger equation and on the Lagrangian structure of transport equations with singular vector-fields (for instance, the Vlasov-Poisson equation). These problems, although apparently different, are actually deeply interconnected.The PI aims to use his expertise in partial differential equations and geometric measure theory to introduce ideas and techniques that will lead to new groundbreaking results." Dziedzina nauki natural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equations Słowa kluczowe RSPDE Program(-y) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Temat(-y) ERC-2016-COG - ERC Consolidator Grant Zaproszenie do składania wniosków ERC-2016-COG Zobacz inne projekty w ramach tego zaproszenia System finansowania ERC-COG - Consolidator Grant Instytucja przyjmująca EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH Wkład UE netto € 1 742 428,00 Adres Raemistrasse 101 8092 Zuerich Szwajcaria Zobacz na mapie Region Schweiz/Suisse/Svizzera Zürich Zürich Rodzaj działalności Higher or Secondary Education Establishments Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Uczestnictwo w unijnych programach w zakresie badań i innowacji Opens in new window sieć współpracy HORIZON Opens in new window Koszt całkowity € 1 742 428,00 Beneficjenci (1) Sortuj alfabetycznie Sortuj według wkładu UE netto Rozwiń wszystko Zwiń wszystko EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH Szwajcaria Wkład UE netto € 1 742 428,00 Adres Raemistrasse 101 8092 Zuerich Zobacz na mapie Region Schweiz/Suisse/Svizzera Zürich Zürich Rodzaj działalności Higher or Secondary Education Establishments Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Uczestnictwo w unijnych programach w zakresie badań i innowacji Opens in new window sieć współpracy HORIZON Opens in new window Koszt całkowity € 1 742 428,00