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    Por favor, use este identificador para citar o enlazar este ítem:http://uvadoc.uva.es/handle/10324/39594

    Título
    Invariant subspaces of the periodic Navier–Stokes and magnetohydrodynamics equations: Symmetries and inverse cascades
    Autor
    Núñez Jiménez, ManuelAutoridad UVA
    Año del Documento
    2000
    Editorial
    American Institute of Physics
    Descripción
    Producción Científica
    Documento Fuente
    Journal of Mathematical Physics 41, 6193 (2000)
    Abstract
    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.
    Palabras Clave
    Magnetohydrodynamics
    Navier Stokes equations
    Fourier analysis
    ISSN
    0022-2488
    Revisión por pares
    SI
    DOI
    10.1063/1.1287920
    Version del Editor
    https://aip.scitation.org/doi/10.1063/1.1287920
    Idioma
    eng
    URI
    http://uvadoc.uva.es/handle/10324/39594
    Tipo de versión
    info:eu-repo/semantics/acceptedVersion
    Derechos
    openAccess
    Aparece en las colecciones
    • DEP96 - Artículos de revista [95]
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