191 citations · 708 across the 83 of their papers we have counts for
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Non-radial implosion for compressible Euler and Navier-Stokes in and
Gonzalo Cao-Labora, Javier Gómez-Serrano, Jia Shi +1
In this paper we construct smooth, non-radial solutions of the compressible Euler and Navier-Stokes equation that develop an imploding finite time singularity. Our construction is…
Trend to equilibrium for flows with random diffusion
Shrey Aryan, Matthew Rosenzweig, Gigliola Staffilani
Motivated by the possibility of noise to cure equations of finite-time blowup, recent work arXiv:2109.09892 by the second and third named authors showed that with quantifiable high…
Well-Posedness and regularity properties of 2d -plane stochastic Navier-Stokes equations in a periodic channel
Yuri Cacchio', Amirali Hannani, Gigliola Staffilani
We consider the 2d -plane stochastic Navier-Stokes equations in a periodic channel. We prove the well-posedness and existence of the stationary measure, as well as certain regul…
On the wave turbulence theory for the beam wave equation
Gigliola Staffilani, Minh-Binh Tran
Starting from the beam wave equation, which has a Schrödinger structure, on a hypercubic lattice of size , with weak nonlinearity of strength , we show that the two point cor…