The XVII International Conference (HYP2018) on 'Hyperbolic Problems: Theory, Numerics, and Applications' is to be held at the Pennsylvania State University, University Park, PA, on June 25-29, 2018. The objective of this conferenceis to bring together researchers, students and practitioners with interest in the theoretical, computational and applied aspects of hyperbolic time dependent problems. The conference will provide a forum to exchange and stimulate new ideas from different disciplines, and to develop new mathematical models and techniques that will have impact in applications. In the past decade, the subject of hyperbolic PDEs has continued to experience vigorous growth, along with several novel applications in a wide range of areas of science and engineering. The proposed conference, featuring 11 plenary and 19 invited lectures by world leading researchers, will provide a comprehensive overview of the current state of the art, and stimulate new developments. The conference will follow a well tested format of plenary and invited lectures (45 minutes long) in mornings and afternoons, alternated with themecentered parallel sessions of contributed talks (20 minutes long). While presenting plenary talks by foremost worldauthorities and maintaining the highest technical level in the workshops, the emphasis will be on multidisciplinary interaction across subjects and disciplines. In addition to seminars on the core theory of hyperbolic equations, the conference will cover a wide spectrum of related topics, involving numerics and applications. Particular attention will be devoted to the following areas, which have experienced sustained activity and exciting progress in recent years: - Mathematical theory of fluids and their applications to biological and engineering problems.- Hyperbolic equations on networks and on structured domains. - Kinetic and fluid models for collective dynamics of many-body systems. - Transport equations: optimality and mixing. - Equations of general relativity. - Control problems for hyperbolic PDEs, and differential games. The theory of hyperbolic equations is a fundamental area of PDEs. The domain of applications is very broad and still rapidly increasing, encompassing problems where wave propagation and transport phenomena are important, includingproblems of interest to the Navy. For instance, mixing can enhance diffusion and suppress concentration, especially in turbulent flows. Modeling of boundary layers is crucial for a more accurate prediction of drag on material surfaces. Amore reliable prediction of vacuum formation for gas dynamics and compressible flows could lead to a better prediction of cavitation phenomena and how to control them. Other disciplines and specific applications regard materials science, multi-scale simulation, atmospheric and oceanic transport, multiphase flow, free surface physics, and geometrically based motions for image processing. Lastly, the conference has traditionally been an excellent ground for STEM training, especially in recent years with focus on new alongside more traditional applications of hyperbolic equations.
|Effective start/end date||4/30/18 → 5/31/19|
- Office of Naval Research: $10,000.00