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Intermittent Convex Integration for the 3D Euler Equations
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A new threshold for the existence of weak solutions to the incompressible Euler equations
To gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of the fundamental fluids PDEs, and construct solutions to these PDEs that exhibit turbulent properties. This book belongs to such a program, one that has brought convex integration techniques into hydrodynamics. Convex integration techniques have b...