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math.AP2025
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…
math.AP2025
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…
math.AP2025
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…