Existence of finite-time splash singularity for a collapsing bubble in Navier-Stokes free boundary problem with surface tension, via δ-wing domain construction.
A sparse domination principle for rough singular integrals
3 Pith papers cite this work. Polarity classification is still indexing.
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Computer-assisted proof shows that the linearized operator around threefold symmetric traveling waves in the Burgers-Hilbert equation has an eigenvalue with negative real part for ω=3 and c≈1.1.
Obtains pointwise sparse bounds for rough pseudodifferential operators with measurable spatial symbols and gives sufficient conditions that recover known sparse bounds for symbols in S^0_{1,δ} with δ < 1.
citing papers explorer
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On existence of a collapsed bubble with surface tension in viscous incompressible fluid
Existence of finite-time splash singularity for a collapsing bubble in Navier-Stokes free boundary problem with surface tension, via δ-wing domain construction.
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Linear instability of a Burgers--Hilbert traveling wave
Computer-assisted proof shows that the linearized operator around threefold symmetric traveling waves in the Burgers-Hilbert equation has an eigenvalue with negative real part for ω=3 and c≈1.1.