Sergiy Vasylkevych Research Statement 1 Singular Solutions of Epdiff Equations 1.1 Epdiff Equations
نویسنده
چکیده
Since completion of the Ph.D. program at California Institute of Technology, my research has been focused on application of methods of differential geometry and global analysis to the study of nonlinear partial differential equations. Specifically, it concerns • Euler and Euler-α equations of ideal fluid flow (both fixed and moving boundary case), • Camassa-Holm equation, • EPDiff equations (also known as Averaged Template Matching equations).
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