Nonlinear and Nonlocal Porous Medium Equation and Its Probabilistic Interpretation
- Date
- Jun 7, 2012
- Time
- 3:00 PM - 4:00 PM
- Speaker
- Prof. Wojbor Woyczynski
- Affiliation
- Case Western Reserve University, Cleveland, Ohio
- Series
- TUD Mathematik AG Analysis & Stochastik
- Language
- en
- Main Topic
- Mathematik
- Other Topics
- Mathematik
- Host
- Prof. Dr. R. Schilling
- Description
- One of the motivations of our work (joint with B. Jourdain and S. Meleard) was to generalize the probabilistic approximation of the classical strongly nonlinear porous medium equation, which describes percolation of gases through porous media. The usual Barenblatt solutions have a very rigid type of self-similarity and our goal was to allow a more general class of anomalous diffusions in the model. The lecture will discuss the relevant mathematical difficulties related to the combination of strong nonlinearity and fractional Laplacian operators.
- Links
Last modified: May 18, 2012, 3:32:40 PM
Location
TUD Willers-Bau (WIL A 120)Zellescher Weg12-1401069Dresden
- Homepage
- https://navigator.tu-dresden.de/etplan/wil/00
Organizer
TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
- Phone
- 49-351-463 33376
- Homepage
- http://tu-dresden.de/mathematik
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