For odd initial data that dominate a specific self-similar barrier, the inviscid α-patch transport equation forms a finite-time cusp singularity with profile |x|^p, where p = (1-α)/2.
of Math.(2), 162(3):1377–1389, 2005
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A Note on Singularity Formation for a Nonlocal Transport Equation
For odd initial data that dominate a specific self-similar barrier, the inviscid α-patch transport equation forms a finite-time cusp singularity with profile |x|^p, where p = (1-α)/2.