Singularity formation in the incompressible Euler equation in finite and infinite time
Theodore D. Drivas, Tarek M. Elgindi
Abstract
Some classical and recent results on the Euler equations governing perfect (incompressible and inviscid) fluid motion are collected and reviewed, with some small novelties scattered throughout. The perspective and emphasis will be given through the lens of infinite-dimensional dynamical systems, and various open problems are listed and discussed.
Topics & Concepts
Inviscid flowEuler equationsSingularityCompressibilityEuler's formulaPerspective (graphical)Mathematical analysisMathematicsGravitational singularitySemi-implicit Euler methodClassical mechanicsPhysicsBackward Euler methodMechanicsGeometryNavier-Stokes equation solutionsAquatic and Environmental StudiesComputational Fluid Dynamics and Aerodynamics