Space-time decay of Navier-Stokes flows invariant under rotations
Lorenzo Brandolese
Abstract
We show that the solutions to the non-stationary Navier-Stokes equations in Rd, d=2,3 which are left invariant under the action of discrete subgroups of the orthogonal group O(d) decay much faster as |x|∞ or t ∞ than in the generic case and we compute, for each subgroup, the precise decay rates in space-time of the velocity field.
Create a lesson
Related papers
Positive normalized solutions for a singular regularized p(x)-Laplacian Dirichlet problem
Mustafa Avci
Regularity for axisymmetric Navier-Stokes with an Euler length
Peter Constantin, Mihaela Ignatova, Vlad Vicol
Existence of strong initial traces for stochastic conservation laws
Marko Erceg, Nikola Konatar, Kenneth Karlsen et al.
Asymptotics of nonlocal nonlinear Robin energies
Serena Dipierro, Giuseppe Spadaro, Enrico Valdinoci
Discontinuity of the Vlasov--Poisson Flow in LxpLv∞
Ke Chen, In-Jee Jeong, Quoc-Hung Nguyen et al.
Dense orbits for scale-invariant rotationally symmetric solutions of the 2D Euler equations
Ibrahim Suleiman