AMS-IMS-SIAM Joint Summer Research Conference on Control Methods in PDE-Dynamical Systems

This conference is intended for two distinct research communities in partial differential equations (PDE): (1) the PDE-control community, which is focused on the study of control-theoretic properties of PDEs (e.g., well-posedness, interior and boundary regularity, controllability, stabilization, and optimization); and (2) the PDE-dynamical systems community, which is focused on the long-time behavior of solutions (e.g., global attractors and their geometric, topological, and structural properties). These communities, while pursuing different interests and using different methodologies, share a substantial body of common knowledge and background on evolutionary equations. The time is ripe and the momentum is propitious to bring them together at a joint conference. The main goal of this conference is to develop mutual stimulation and joint interactions, thereby leading to a marked advancement of the broader area of research. Dynamics to be considered encompass the following systems: (i) parabolic equations including equations of fluid dynamics with turbulent flows (such as Navier-Stokes equations); (ii) hyperbolic or Petrowski-like equations, including hyperbolic conservations laws and systems of nonlinear elasticity; (iii) systems of strongly coupled PDEs, whether they display a hyperbolic/hyperbolic coupling (such as in shell theory) or else a hyperbolic/parabolic coupling (such as in thermoelasticity and in structural acoustic chamber models). The timeliness of the conference is reinforced by the very recent breakthrough on the well-posedness theory of conservation laws, which opens the door to the treatment of related control problems. The organizers have secured a list of top specialists in both controlled PDE-systems and PDE-based dynamical systems.