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cond-mat.stat-mech2026
Scaling regimes of the Kuramoto-Sivashinsky equation from the functional renormalization group
Liubov Gosteva, Nicolás Wschebor, Léonie Canet
We revisit the renormalization group (RG) approach to the one-dimensional stochastic Kuramoto-Sivashinsky (KS) equation and show that previous approaches based on perturbative Wils…
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…