Singularity formation in the incompressible Euler equation in finite and infinite time
Copyright policy )Singularity formation in the incompressible Euler equation in finite and infinite time
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.
- Stony Brook University United States
- Institute for Advanced Study United States
- Duke University United States
Asymptotic behavior of solutions to PDEs, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, singularity formation, Physics - Fluid Dynamics, Mathematical Physics (math-ph), Euler equations, infinite-dimensional dynamical systems, Axially symmetric solutions to PDEs, incompressible Euler equations, Mathematics - Analysis of PDEs, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, FOS: Mathematics, Self-similar solutions to PDEs, Mathematical Physics, Analysis of PDEs (math.AP)
Asymptotic behavior of solutions to PDEs, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, singularity formation, Physics - Fluid Dynamics, Mathematical Physics (math-ph), Euler equations, infinite-dimensional dynamical systems, Axially symmetric solutions to PDEs, incompressible Euler equations, Mathematics - Analysis of PDEs, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, FOS: Mathematics, Self-similar solutions to PDEs, Mathematical Physics, Analysis of PDEs (math.AP)
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