2 problems
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Nonexistence of symmetries generating the infinite conservation laws of two-dimensional vorticity equations
For the two-dimensional incompressible inviscid Euler equations in vorticity formulation, the flow has infinitely many conservation laws. In an alternative Hamiltonian formulation,…
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Localized blowup conjecture for the vorticity model equation
Localized blowup conjecture. A solution blows up if and only if there exists some such that