3 papers
math.AP2026
Nontrivial integrable weak stationary solutions to active scalar equations with non-odd drift
Nicholas Gismondi
In this paper we construct nontrivial weak solutions to a class of stationary active scalar equations with a non-odd nonlocal operator in the drift term using a convex integration…
math.AP2025
Intermittent solutions of the stationary 2D surface quasi-geostrophic equation
Nicholas Gismondi, Alexandru F. Radu
In this paper we construct non-trivial solutions to the stationary dissipative surface quasi-geostrophic equation on the two dimensional torus which lie strictly below the critical…
math.AP2025
Intermittent singular solutions of the stationary 2D Navier-Stokes equations in sharp Sobolev spaces
Estepan Ashkarian, Ataleshvara Bhargava, Nicholas Gismondi +1
In this paper we construct non-trivial solutions to the stationary Navier-Stokes equations on the two dimensional torus which lie in $\bigcap_{ε\in (0,1)} L^{2-ε}(\mathbb{T}^2) \ca…