3 papers
cond-mat.stat-mech2026
Inviscid scaling in the Kuramoto-Sivashinsky equation from functional renormalization group and direct numerical simulations
Liubov Gosteva, Dipankar Roy, Nicolás Wschebor +1
We show that the one-dimensional Kuramoto-Sivashinsky (KS) equation features a scaling regime characterized by the dynamical exponent at intermediate scales between the large…
cond-mat.stat-mech2025
Fixed Points and Universality Classes in Coupled Kardar-Parisi-Zhang Equations
Dipankar Roy, Abhishek Dhar, Manas Kulkarni +1
We study coupled KPZ equations with three control parameters . These equations are used in the context of stretched polymers in a random medium, for the spacetime spin-spin…
physics.flu-dyn2025
Large-scale multifractality and lack of self-similar decay for Burgers and 3D Navier-Stokes turbulence
Takeshi Matsumoto, Dipankar Roy, Konstantin Khanin +2
We study decaying turbulence in the 1D Burgers equation (Burgulence) and 3D Navier-Stokes (NS) turbulence. We first investigate the decay in time of the energy in Burgul…