PDEs and Irregular Interfaces: New Frontiers for Industrial Applications

 Organizer(s):
Name:
Affiliation:
Country:
Michael Hinz
Bielefeld University
Germany
Maria Rosaria Lancia
Sapienza Università di Roma
Italy
Chiara Sorgentone
Sapienza Università di Roma
Italy
 Introduction:  
  Partial differential equations (PDEs) in domains with irregular interfaces are encountered in a wide range of scientific and industrial applications. They play a huge role in composite materials, fluid-structure interaction and multiphase flows, and they arise naturally in civil and biomedical engineering. The geometric complexity of irregular interfaces poses huge challenges for both the rigorous analytical understanding of PDEs in such domains (well-posedness, regularity, etc.) and an efficient numerical approximation (mesh generation, adaptive methods, unfitted discretizations, etc.). The special session aims to bring together leading experts in analytical techniques, computational methods, and applied modeling. Its goal is to foster interaction between these different sub-disciplines and scientific communities, to exchange knowledge and explore synergies, to encourage joint projects and to stimulate new directions of research. Topics of interest include, but are not limited to: interface problems for elliptic and parabolic PDEs, advanced numerical techniques for domains with complicated geometries, quadrature methods with special attention to singularity problems, boundary integral formulations, robust coupling techniques for different physical regimes across interfaces, and inverse problems in irregular domains.