Constructs C^α self-similar blowup profiles for 3D Euler vorticity without swirl and proves asymptotically self-similar blowup from C_c^α data, with limiting factorization as α→(1/3)^-.
Finite time singularities of smooth solutions for the 2D incompressible porous media (ipm) equation with a smooth source
2 Pith papers cite this work. Polarity classification is still indexing.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Finite-time vorticity blow-up is shown to exist for the forced 2D non-homogeneous Euler equations via adaptation of a prior Boussinesq construction.
citing papers explorer
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Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity II: 3D Profiles, Blowup, and Limiting behavior
Constructs C^α self-similar blowup profiles for 3D Euler vorticity without swirl and proves asymptotically self-similar blowup from C_c^α data, with limiting factorization as α→(1/3)^-.
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Vorticity blow-up for the 2D incompressible non-homogeneous Euler equations with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\varepsilon}$ force
Finite-time vorticity blow-up is shown to exist for the forced 2D non-homogeneous Euler equations via adaptation of a prior Boussinesq construction.