27 citations · 130 across the 26 of their papers we have counts for
26 papers · 1 filter
Well-posedness and invariant measures for complex valued modified KdV equation
Carlos E. Kenig, Andrea R. Nahmod, Nataša Pavlović +2
We consider the one dimensional periodic complex valued mKdV, which corresponds to the first equation above cubic NLS in the associated integrable hierarchy. Our main result is the…
Multifractality and polygonal vortex filaments
Valeria Banica, Daniel Eceizabarrena, Andrea. R. Nahmod +1
In this proceedings article we survey the results in [5] and their motivation, as presented at the 50th Journées EDP 2024. With the aim of quantifying turbulent behaviors of vortex…
Multifractality and intermittency in the limit evolution of polygonal vortex filaments
Valeria Banica, Daniel Eceizabarrena, Andrea R. Nahmod +1
With the aim of quantifying turbulent behaviors of vortex filaments, we study the multifractality and intermittency of the family of generalized Riemann's non-differentiable functi…
Uniqueness of the 2D Euler equation on rough domains
Siddhant Agrawal, Andrea R. Nahmod
We consider the 2D incompressible Euler equation on a bounded simply connected domain . We give sufficient conditions on the domain so that for all initial vorticity $ω_0 \i…
The probabilistic scaling paradigm
Yu Deng, Andrea R. Nahmod, Haitian Yue
In this note we further discuss the probabilistic scaling introduced by the authors in [21, 22]. In particular we do a case study comparing the stochastic heat equation, the nonlin…
Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation
Bjoern Bringmann, Yu Deng, Andrea R. Nahmod +1
We prove the invariance of the Gibbs measure under the dynamics of the three-dimensional cubic wave equation, which is also known as the hyperbolic -model. This result is th…