Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations
With Applications to the Vlasov-Poisson and Semigeostrophic Systems
2017
Edizioni della Normale (Hersteller)
978-88-7642-607-0 (ISBN)
Edizioni della Normale (Hersteller)
978-88-7642-607-0 (ISBN)
An overview on flows of vector fields and on optimal transport.- Maximal regular flows for non-smooth vector fields.- Main properties of maximal regular flows and analysis of blow-up.- Lagrangian structure of transport equations.- The continuity equation with an integrable damping term.- Regularity results for very degenerate elliptic equations.- An excess-decay result for a class of degenerate elliptic equations.- The Vlasov-Poisson system.- The semigeostrophic system.
| Erscheint lt. Verlag | 7.6.2017 |
|---|---|
| Reihe/Serie | Publications of the Scuola Normale Superiore | Theses (Scuola Normale Superiore) |
| Zusatzinfo | Approx. 250 p. |
| Verlagsort | Pisa |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | degenerate elliptic equation • Lagrangian flows • Optimal Transportation • Partial differential equations • renormalized solutions • semigeostrophic equations • traffic model • transport equations • Vlasov-Poisson system |
| ISBN-10 | 88-7642-607-8 / 8876426078 |
| ISBN-13 | 978-88-7642-607-0 / 9788876426070 |
| Zustand | Neuware |
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