2 citations · 2 across the 6 of their papers we have counts for
7 papers
Exponential growth and decay in the ideal induction equation
Víctor Navarro-Fernández
We construct a divergence-free velocity field on the three-dimensional torus that is time-periodic and consists of three alternating piecewise-affine shears. For sufficiently large…
Nonlinear instability for the 3D MHD equations around the Taylor-Couette flow
Víctor Navarro-Fernández, David Villringer
We study the 3D magnetohydrodynamics (MHD) equations in an annular cylinder, perturbed around the explicit steady state given by the 3D Taylor-Couette velocity field and zero magne…
Spectral instability in the smooth Ponomarenko dynamo
Víctor Navarro-Fernández, David Villringer
We consider the kinematic dynamo equations for a passive vector in describing the evolution of a magnetic f…
Exponential mixing by random cellular flows
Víctor Navarro-Fernández, Christian Seis
We study a passive scalar equation on the two-dimensional torus, where the advecting velocity field is given by a cellular flow with a randomly moving center. We prove that the pas…
Three-dimensional exponential mixing and ideal kinematic dynamo with randomized ABC flows
Michele Coti Zelati, Víctor Navarro-Fernández
In this work we consider the Lagrangian properties of a random version of the Arnold-Beltrami-Childress (ABC) in a three-dimensional periodic box. We prove that the associated flow…
Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients
Víctor Navarro-Fernández, André Schlichting
We study the implicit upwind finite volume scheme for numerically approximating the advection-diffusion equation with a vector field in the low regularity DiPerna-Lions setting. Th…