Interactive PDE Systems: Qualitative analysis, numerical analysis and control theory
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Organizer(s): |
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Affiliation:
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Country:
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George Avalos
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University of Nebraska-Lincoln
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USA
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Pelin Guven Geredeli
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University of Nebraska-Lincoln and Iowa State University
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USA
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Abstract:
| | Our proposed Special Session will feature speakers who have research expertise in the applicable analysis, numerical analysis, and mathematical control of partial differential equation (PDE) models which describe coupled systems of partial differential equations, as they occur in the natural sciences and engineering. We anticipate that some of our Speakers will present their recent results on wellposedness analysis and control theory for such PDE systems. In particular, some of our proposed speakers will discourse on regularity and longtime behavior properties of linear and nonlinear PDE dynamics, with or without the presence of open loop or feedback control. Moreover, there will be speakers in our proposed Special Session who will present new results in the numerical analysis and efficacious scientific computation of the associated solution variables. These numerical results will include the invocation of nonstandard finite element and discontinuous Galerkin methods. |
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