(Ilmumisaeg: 12-Jul-2016, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470435646)
In 1848 James Challis showed that smooth solutions to the compressible Euler equations can become multivalued, thus signifying the onset of a shock singularity. Today it is known that, for many hyperbolic systems, such singularities often develop. Ho...Loe edasi...
(Ilmumisaeg: 09-Jul-2012, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9780821891001)
This volume contains the proceedings of the conference "e;Multi-Scale and High-Contrast PDE: From Modelling, to Mathematical Analysis, to Inversion"e;, held June 28-July 1, 2011, at the University of Oxford. The mathematical analysis of PDE m...Loe edasi...
(Ilmumisaeg: 07-Jun-2011, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470411848)
This book is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on...Loe edasi...
Sari: Memoirs of the American Mathematical Society
(Ilmumisaeg: 30-Mar-2021, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470464011)
The author shows that the finite time type II blow up solutions for the energy critical nonlinear wave equation \Box u = -u^5 on \mathbb R^3+1 constructed in Krieger, Schlag, and Tataru (2009) and Krieger and Schlag (2014) are stable along a co...Loe edasi...