(This session will run until 1:00PM)
10:30 AM-12:30 PM
Building 320, Room 105
The purpose of this session is to address some current directions and issues in control theory of distributed parameter systems. Specifically, aspects of recent developments in both analysis and control theory of physical systems that may be modeled as nonlinear, or coupled, partial differential equations will be discussed. Specific applications are to large deformations of interconnected elastic structures, to nonlinear diffusion processes, and to various coupled systems of partial differential equations, such as the system of elastodynamics.
In the last 10 years there has been enormous progress in control theory of the basic boundary value problems of linear partial differential equations. Some recent developments are directed towards (1) refining and extending the linear theory through the introduction of more sophisticated concepts and techniques, such as microlocal analysis and propagation of singularities; (2) extending the theory to nonlinear problems in partial differential equation such as arise, for instance, in shell theory; (3) extending the theory to complex coupled systems of partial differential equations such as arise in the study of interconnected elastic structures.
Organizers: John E. Lagnese, Georgetown University; and Vilmos Komornik, Université Louis Pasteur, France
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