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Alexander A. Kiselev

William T. Laprade Distinguished Professor of Mathematics
Mathematics

Scholarly Works - Book sections


Small Scale Creation in Active Scalars

Book section · January 1, 2020 The focus of the course is on small scale formation in solutions of the incompressible Euler equation of fluid dynamics and associated models. We first review the regularity results and examples of small scale growth in two dimensions. Then we discuss a sp ... Full text Cite

Small Scale Creation in Inviscid Fluids

Book section · January 1, 2017 These lectures overview recent progress in understanding of small scale and nite time singularity formation in solutions of the incompressible Euler equation and related models. We start with the background information on existence and uniqueness of soluti ... Full text Cite