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  • 1
    Monograph available for loan
    Monograph available for loan
    Computational fluid dynamics : Proceedings of the forth UNAM Supercomputing Conference, Mexico City, Mexico27-30 June 2000 (2001)
    New Jersey [u.a.] : World Scientific
    Details Availability
    Call number: AWI A13-02-0068
    Type of Medium: Monograph available for loan
    Pages: XI, 264 S.
    ISBN: 9810245351
    Branch Library: AWI Library
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  • 2
    Electronic Resource
    Electronic Resource
    Existence and uniqueness of the universal W algebra (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 833-839 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A precise definition of the universal (classical) W algebra for the Wn series is given and its existence and uniqueness are proved. The main observation is that there is a natural reduction from Wn to Wn−1 that allows us to define the universal W algebra as an inverse limit. This universal W algebra is, in a sense, the smallest W algebra from which all Wn can be obtained by reduction. These results extend to other W algebras obtained by reducing the Gel'fand–Dickey brackets, as well as to W superalgebras obtained from the supersymmetric Gel'fand–Dickey brackets.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529735
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  • 3
    Electronic Resource
    Electronic Resource
    Erratum: Existence and uniqueness of the universal W algebra [J. Math. Phys. 33, 833 (1992)] (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 887-887 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530232
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  • 4
    Electronic Resource
    Electronic Resource
    Steady streaming in oscillatory viscous flow under a transverse magnetic field (1997)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 9 (1997), S. 1430-1434 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In this paper we deal with the oscillatory laminar boundary layer flow of an electrically conducting fluid near an insulating solid body under a transverse, uniform magnetic field. It is assumed that the two-dimensional flow is produced by an external stream velocity which varies periodically and that the magnetic field induced in the fluid can be neglected. The solution of the boundary layer equations is found by an expansion on the small parameter ε (the inverse of the Strouhal number). Both the primary oscillatory flow and the secondary flow which is composed of an oscillatory motion and a steady contribution, i.e. the steady streaming, are analytically determined. The magnetohydrodynamic (MHD) flow correctly reduces to the hydrodynamic limit when the magnetic field vanishes. However, differently from the hydrodynamic case, the MHD second order steady solution satisfies the vanishing of the steady streaming motion as the distance from the body tends to infinity. This result is a consequence of the suppression of the only vorticity component, which is perpendicular to the magnetic field. Further, when the magnetic interaction parameter is sufficiently high, the streaming motion can be completely suppressed. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869255
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  • 5
    Electronic Resource
    Electronic Resource
    Interaction of Stokes boundary layer flow with a sound wave (2001)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 13 (2001), S. 3709-3713 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We analyze the interaction of a standing sound wave with the flow generated by the oscillation of a plate in its own plane (Stokes second problem). The sound wave acts in the direction transverse to the plate and it is considered that the plate oscillation and the sound wave have the same frequency but a nonzero relative phase. The sound wave induces a modification of the axial velocity that consists of two parts, an oscillation with twice the frequency of the plate oscillation and a steady streaming that persists beyond the Stokes boundary layer, resulting in a double boundary layer structure. This mechanism for generating steady streaming differs from those studied previously in the literature. The relative phase of the two oscillatory motions determines the direction of the net flow. The direction of the steady streaming far away from the plate, coincides with the direction of the displacement of the plate at the moment of maximum compression and is proportional to the velocity of the plate at this moment. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1415425
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  • 6
    Electronic Resource
    Electronic Resource
    The algebra of differential operators on the circle and W KP (q) (1993)
    Springer
    Letters in mathematical physics 27 (1993), S. 223-233 
    Details
    ISSN: 1573-0530
    Keywords: 58F07 ; 17B66 ; 17B68
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Radul has recently introduced a map from the Lie algebra of differential operators on the circle of W n . In this Letter, we extend this map to W KP (q) , a recently introduced one-parameter deformation of WKP - the second Hamiltonian structure of the KP hierarchy. We use this to give a short proof that W∞ is the algebra of additional symmetries of the KP equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00739580
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  • 7
    Electronic Resource
    Electronic Resource
    Higher dimensional classicalW-algebras (1993)
    Springer
    Communications in mathematical physics 157 (1993), S. 573-589 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract ClassicalW-algebras in higher dimensions are constructed. This is achieved by generalizing the classical Gel'fand-Dickey brackets to the commutative limit of the ring of classical pseudodifferential operators in arbitrary dimension. TheseW-algebras are the Poisson structures associated with a higher dimensional version of the Khokhlov-Zabolotskaya hierarchy (dispersionless KP-hierarchy). The two dimensional case is worked out explicitly and it is shown that the role of DiffS(1) is taken by the algebra of generators of local diffeomorphisms in two dimensions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02096883
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  • 8
    Electronic Resource
    Electronic Resource
    A one-parameter family of hamiltonian structures for the KP hierarchy and a continuous deformation of the nonlinear WKP algebra (1993)
    Springer
    Communications in mathematical physics 158 (1993), S. 17-43 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The KP hierarchy is hamiltonian relative to a one-parameter family of Poisson structures obtained from a generalized Adler map in the space of formal pseudodifferential symbols with noninteger powers. The resulting W-algebra is a one-parameter deformation of WKP admitting a central extension for generic values of the parameter, reducing naturally to W n for special values of the parameter, and contracting to the centrally extended W1+∞, W∞ and further truncations. In the classical limit, all algebras in the one-parameter family are equivalent and isomorphic tow KP. The reduction induced by setting the spin-one field to zero yields a one-parameter deformation of $$\hat W_\infty$$ which contracts to a new nonlinear algebra of the W∞-type.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02097230
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  • 9
    Electronic Resource
    Electronic Resource
    ClassicalN=1W-superalgebras from Hamiltonian reduction (1992)
    Springer
    Communications in mathematical physics 145 (1992), S. 43-55 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A combinatorial proof is presented of the fact that the space of supersymmetric Lax operators admits a Poisson structure analogous to the second Gel'fand-Dickey bracket of the generalized KdV hierarchies. This allows us to prove that the space of Lax operators of odd order has a symplectic submanifold-defined by (anty)symmetric operators-which inherits a Poisson structure defining classicalW-superalgebras extending theN=1 supervirasoro algebra. This construction thus yields an infinite series of extended superconformal algebras.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02099280
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  • 10
    Electronic Resource
    Electronic Resource
    Heat transfer in an MHD channel flow with boundary conditions of the third kind (1991)
    Springer
    Flow, turbulence and combustion 48 (1991), S. 11-33 
    Details
    ISSN: 1573-1987
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The heat transfer equation for a two-dimensional magnetohydrodynamic channel flow has been solved using boundary conditions of the third kind considering a discontinuity in the “ambient” temperature. The boundary conditions of the third kind indicate that the normal temperature gradient at a particular point in the boundary is assumed to be proportional to the difference between the fluid temperature and the externally prescribed ambient temperature. The presence of an external circuit is also considered to permit the flow of an electric current in the direction perpendicular to the plane of analysis. The resistance of the external circuit is varied from zero (closed circuit) to infinity (open circuit). Temperature fields far away from and near to the discontinuity are found separately and then added in order to obtain the temperature in the whole flow region. The solutions in the limits where the boundary conditions become first (Dirichlet) or second (Neumann) kind are discussed and the influence of the external resistance and the Hartmann, Péclet and Biot numbers on the temperature distribution is investigated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01998663
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