ERC Consolidator Grant · 2023
Stable solutions and nonstandard diffusions: PDE questions arising in Mathematical Physics
The concept of diffusion is ubiquitous in the physical sciences. From the mathematical point of view, its study started in the early 19th century with the development of PDE theory, and has many connections to Physics, Probability, Geometry, and Functional Analysis. This project aims to answer several outstanding questions related to the mathematics of diffusion. The proposal is divided into two blocks. The first one corresponds to the study of stable solutions to reaction-diffusion PDE, and more precisely the classification of global stable solutions in the physical space (i.e., in 3D) for a general class of problems including the Allen-Cahn, the Alt-Phillips, or the thin Alt-Caffarelli…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.