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math.AP2020★ 12 cited
Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation
Weiwei Ao, Juan Davila, Manuel del Pino +2
For the generalized surface quasi-geostrophic equation $$\left\{ \begin{aligned} & \partial_t θ+u\cdot \nabla θ=0, \quad \text{in } \mathbb{R}^2 \times (0,T), \\ & u=\nabla^\perp ψ…
math.AP2020★ 2 cited
Travelling helices and the vortex filament conjecture in the incompressible Euler equations
Juan Dávila, Manuel del Pino, Monica Musso +1
We consider the Euler equations in expressed in vorticity form. A classical question that goes back to Helmholtz is to describe the evolution of solutions with a hi…