RT info:eu-repo/semantics/article
T1 Invariant subspaces of the periodic Navier–Stokes and magnetohydrodynamics equations: Symmetries and inverse cascades
A1 Núñez Jiménez, Manuel
K1 Magnetohydrodynamics
K1 Navier Stokes equations
K1 Fourier analysis
AB It is shown that when the initial condition and the forcing term of the periodic Navier–Stokes or magnetohydrodynamics equations have Fourier coefficients which vanish outside a certain semigroup of frequencies, the same happens to the solutions for all time. Subgroups of frequencies correspond to solutions possessing certain symmetries. By taking as a semigroup the frequencies whose Fourier components are non-negative integers, we get a class of solutions for which the higher modes do not influence the evolution of the lower ones; therefore, the phenomenon of inverse cascading cannot occur for them.
PB American Institute of Physics
SN 0022-2488
YR 2000
FD 2000
LK http://uvadoc.uva.es/handle/10324/39594
UL http://uvadoc.uva.es/handle/10324/39594
LA eng
NO Journal of Mathematical Physics 41, 6193 (2000)
NO Producción Científica
DS UVaDOC
RD 27-abr-2024