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DFG- Research Group "Nonlinear Partial Differential Equations"

Description of the project:
Nonlinear Partial Differential Equations are of fundamental importance both in physics and in geometry. Many physical phenomena from fluid dynamics particle and continuum mechanics are modelled by partial differential equations (PDE), and the nonlinearities are essential for a realistic description. Likewise, in the geometric calculus of variations and in the theory of evolving surfaces and interfaces, most interesting phenomena such as singularities are linked to the nonlinear structure of the equations. The goal of our work is to find and develop analytical and numerical tools to solve the equations. The analysis shall yield an improved understanding of the nonlinear mechanisms and is thereby useful to validate and potentially refine the underlying physical models. Moreover, the tools for solving the equations, in particular the numerical tools, are rather general and have future relevance for other applied problems.

Additional information: http://home.mathematik.uni-freiburg.de/fg/
contact person: Prof. Dr. Ernst Kuwert
Phone: 0761/203-5585
Email: ernst.kuwert@math.uni-freiburg.de
Runtime:
Start of project: 01.05.2002
End of project: 31.12.2009
Project Management:
Albert-Ludwigs-University Freiburg
Prof. Dr. Ernst Kuwert (Sprecher)
Abteilung für Reine Mathematik
Prof. Dr. Ernst Kuwert
Ernst-Zermelo-Straße 1
79104 Freiburg
Germany

Phone: +49 (0) 761 203-5585
Fax: +49 (0) 761 203-5541
Email: ernst.kuwert@math.uni-freiburg.de
http://home.mathematik.uni-freiburg.de/kuwert/
Actual Research Report
Financing:
  • DFG