Global Existence of Some Infinite Energy Solutions for a Perfect Incompressible Fluid

DOI10.1137/080713768zbMath1167.35436arXivmath/0608670OpenAlexW2077850752MaRDI QIDQ5320711

Feride Tiğlay, Ralph Saxton

Publication date: 22 July 2009

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608670

zbMATH Keywords

incompressible fluidglobal existencestagnation pointthree dimensionsinfinite energyCauchy problem for periodic initial data

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Blow-up of solutions to the generalized inviscid Proudman-Johnson equation ⋮ Global existence for the generalized two-component Hunter-Saxton system ⋮ Blowup of Solutions to a Damped Euler Equation with Homogeneous Three-Point Boundary Condition ⋮ One-parameter solutions of the Euler-Arnold equation on the contactomorphism group ⋮ Global estimates and blow-up criteria for the generalized Hunter-Saxton system ⋮ The role of initial curvature in solutions to the generalized inviscid Proudman-Johnson equation ⋮ Global and singular solutions to the generalized Proudman-Johnson equation ⋮ Integrable evolution equations on spaces of tensor densities and their peakon solutions ⋮ Blowup in stagnation-point form solutions of the inviscid 2d Boussinesq equations

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