2 citations · 5 across the 6 of their papers we have counts for
6 papers
A conditional Lagrangian clock barrier at the threshold for axisymmetric Euler without swirl
Ovidiu-Neculai Avadanei
We consider axisymmetric no-swirl solutions to the three-dimensional incompressible Euler equations, with initial velocity in , where $α\in\left[\frac{1}{3},1\righ…
Counterexamples to Strichartz estimates and gallery waves for the irrotational compressible Euler equation in a vacuum setting
Ovidiu-Neculai Avadanei
We consider the free boundary problem for the irrotational compressible Euler equation in a physical vacuum setting. By using the irrotationality condition in the Eulerian formulat…
Low regularity well-posedness for the generalized surface quasi-geostrophic front equation
Albert Ai, Ovidiu-Neculai Avadanei
We consider the well-posedness of the generalized surface quasi-geostrophic (gSQG) front equation. By using the null structure of the equation via a paradifferential normal form an…
Low regularity solutions for the surface quasi-geostrophic front equation
Albert Ai, Ovidiu-Neculai Avadanei
In this article we consider the low regularity well-posedness of the surface quasi-geostrophic (SQG) front equation. Recent work on other quasilinear models, including the gravity…
Well-posedness for the surface quasi-geostrophic front equation
Albert Ai, Ovidiu-Neculai Avadanei
We consider the well-posedness of the surface quasi-geostrophic (SQG) front equation. Hunter-Shu-Zhang [9] established well-posedness under a small data condition as well as a conv…
Well-posedness for the dispersive Hunter-Saxton equation
Albert Ai, Ovidiu-Neculai Avadanei
This article represents a first step towards understanding the well-posedness for the dispersive Hunter-Saxton equation. This problem arises in the study of nematic liquid crystals…