Ukrainian Mathematical Bulletin

Volume 2, Issue 1, 2005 pp. 1-14.

Vanishing Viscosity Method and Diffusion Processes

Authors: Yana Belopolskaya
Author institution: St.Petersburg State University for Architecture and Civil Engineering,2-ja Krasnoarmeiskaya 4, 198005, St. Petersburg, Russia

Summary: We construct diffusion processes associated with nonlinear parabolic equations and study their behavior as the viscosity (diffusion) coefficients go to zero. This enables us to construct regularizations for the solutions of hyperbolic equations and systems and study their vanishing viscosity limits.

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