Vanishing Viscosity Method and Diffusion Processes

• Published in: Український математичний вісник
• Date: 2005
• ISSN: 1810-3200
• Main Author: Belopolskaya, Ya.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124578
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Vanishing Viscosity Method and Diffusion Processes / Ya. Belopolskaya // Український математичний вісник. — 2005. — Т. 2, № 1. — С. 1-14. — Бібліогр.: 14 назв. — англ.

We construct diffusion processes associated with nonlinear parabolic equations and study their behavior as the viscosity (diffusion) coefficients go to zero. It allows to construct regularizations for solutions to hyperbolic equations and systems and study their vnishing viscosity limits.