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20102026
most citedExistence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations

68 citations · 351 across the 40 of their papers we have counts for

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Showing 2011Show all

2 papers · 1 filter

math.AP2011

Finite time singularities for the free boundary incompressible Euler equations

Angel Castro, Diego Córdoba, Charles Fefferman +2

In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Euler equations (also known for some particular scenarios as the water wave pro…

math.AP2011★ 45 cited

Splash singularity for water waves

Angel Castro, Diego Córdoba, Charles Fefferman +2

We exhibit smooth initial data for the 2D water wave equation for which we prove that smoothness of the interface breaks down in finite time. Moreover, we show a stability result t…