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Filtering by: Committee Member Bokil, Vrushali A. Creator Arachchi Appuhamillage, Thilanka Iresh

Skew diffusion with drift : a new class of stochastic processes with applications to parabolic equations with piecewise smooth coefficients

Creator:

Arachchi Appuhamillage, Thilanka Iresh

Abstract:

This thesis consists of three subsequent parts addressing the applications of stochastic processes to the analysis and solutions of parabolic equations with discontinuous coefficients that are of mathematical interest. The first two parts consist of three manuscripts, in which we analyze solutions of Fickian convection dispersion equations with discontinuous coefficients...

Resource Type:

Dissertation

Full Text:

succeeded. Many special thanks to Professors Edward C. Waymire and Vrushali A. Bokil for their