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  • 1
    Electronic Resource
    Electronic Resource
    On the eigenvalue problem for fluid sloshing in a half-space (1972)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 23 (1972), S. 861-869 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Résumé Le problème aux conditions limites pour les oscillations libres d'un liquide dans l'espace semi-infini sous un plan rigide contenant une ouverture circulaire est transformé en une équation intégrale homogène de Fredholm pour la distribution de vitesse dans l'ouverture. On obtient des approximations de Rayleigh-Ritz pour les valeurs propres en développant le champ de vitesse en série pondérée de polynômes de Jacobi. Les résultats numériques démontrent que la convergence des approximations est bien plus rapide que celle des approximations développées par Henrici, Troesch and Wuytack; par exemple, en retenant douze termes dans le développement de Rayleigh-Ritz on obtient la valeur propre dominante avec une erreur relative moindre que 10−8. Un développement correspondant est donné pour le problème bidimensionnel, pour lequel l'ouverture est une bande infinie.
    Notes: Summary The boundary-value problem for free oscillations of a liquid in a half-space, which is bounded above by a rigid plane that contains a circular aperture, is transformed to a homogeneous, Fredholm integral equation for the velocity distribution in the aperture. Rayleigh-Ritz approximations to the eigenvalues are obtained by expanding the velocity distribution in appropriately weighted Jacobi polynomials. Numerical results demonstrate that the convergence of the approximations is much stronger than that of the approximations developed by Henrici, Troesch and Wuytack; for example, retaining twelve terms in the Rayleigh-Ritz expansion yields the dominant eigenvalue within one part in 10−8. A corresponding development is given for the two-dimensional problem, in which the aperture is an infinite strip.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01596214
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  • 2
    Electronic Resource
    Electronic Resource
    Eminent engineers (1990)
    [s.l.] : Nature Publishing Group
    Nature 345 (1990), S. 106-106 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/345106d0
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  • 3
    Electronic Resource
    Electronic Resource
    Diffraction of solitary waves (1977)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 28 (1977), S. 889-902 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Zusammenfassung Whitham's Erweiterung der geometrischen Optik auf nichtlineare Diffraktion wird auf Einzelwellen (solitary waves) angewendet. Dabei wird angenommen, dass die Referenzamplitudea 0 viel kleiner als die konstante, ungestörte Wassertiefed 0 sei und dass der Ablenkungswinkel die Grössenordnung (a 0/d 0)1/2 habe. Die Gleichungen für Amplitude und Richtung der Wellen werden auf ein quasi-lineares, hyperbolisches System von zwei partiellen Differentialgleichungen erster Ordnung reduziert. Explizite Resultate für die Diffraktion an einer konvex gekrümmten Wand und an einer konkaven Ecke werden angegeben. Dabei wird gefunden, dass eine Welle der ursprünglichen Amplitudea 0 durch eine konvexe Biegung nicht mehr als (3a 0/d 0)1/2 abgelenkt werden kann, ohne dass sie ablöst oder ihre Identität verliert. Eine empirische Verallgemeinerung für grössere Amplituden und Ablenkwinkel wird vorgeschlagen. Im Anhang werden mit einer Hodographentransformation allgemeine Lösungen gegeben.
    Notes: Abstract Whitham's extension of geometrical optics to nonlinear diffraction is applied to solitary waves of reference amplitudea 0 in water of uniform depthd 0 on the hypotheses thata 0≪d 0 and that the angle through which a diffracted wave is turned is of the order of (a 0/d 0)1/2. The equations governing the amplitude and direction of the waves are reduced to a quasi-linear, hyperbolic systemof two first-order partial differential equations. Explicit results are obtained for diffraction by a convex bend and by a concave corner, and it is found that a solitary wave of initial amplitudea 0 cannot be turned through a convex angle greater than (3a 0/d 0)1/2 without separating or otherwise losing its identity. An empirical generalization for larger amplitudes and turning angles is proposed. General solutions are obtained (in an appendix) through a hodograph transformation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01603824
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  • 4
    Electronic Resource
    Electronic Resource
    A high resolution mid-infrared image of the Starburst Galaxy M82 (1994)
    Springer
    Experimental astronomy 3 (1994), S. 169-170 
    Details
    ISSN: 1572-9508
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We have produced high-resolution images of the nuclear region of M82 with SpectroCam-10, a mid-infrared instrument at the Palomar 5 m telescope. These images were taken at 11.7 μm and 9.8 μm with a 1μm filter bandpass at the diffraction limit of 0.6 arcsec, making them the highest resolution maps yet available of M82. In addition, we have obtained high-resolution (λ/Δλ=2000) maps of the velocity field of the nuclear disk of M82 in the 12.81 μm line emission of [NeII]. In these proceedings we present the 11.7 μm image, which will appear together with the 9.8 μm map and the [Ne II] spectra in a subsequent paper, now in preparation. This image shows very clearly a bridge structure joining the eastern and western clusters.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00430152
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  • 5
    Electronic Resource
    Electronic Resource
    Hamiltonian formulations for surface waves (1981)
    Springer
    Flow, turbulence and combustion 37 (1981), S. 103-110 
    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 formulation of Hamilton's principle for the Eulerian description of the motion of an ideal fluid leads to the identification of the pressure as a Lagrangian density. The resulting variational principle for irrotational gravity waves on the surface of a homogeneous fluid yields both Laplace's equation in the interior and the free-surface boundary conditions. The velocity potential at, and the displacement of, the free surface are canonical variables in Hamilton's sense. The corresponding canonical equations are of Boussinesq's type in the regime of weak dispersion and weak nonlinearity; they are valid only for relatively long waves but may be either stable or unstable with respect to short waves, depending on whether the corresponding Hamiltonian is or is not positive definite, as originally pointed out by Broer. The Korteweg-deVries and related equations are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00382621
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  • 6
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    On Electromagnetic Diffraction through a Plane Screen (1949)
    American Physical Society
    Details
    Publication Date: 1949-02-15
    Print ISSN: 0031-899X
    Electronic ISSN: 1536-6065
    Topics: Physics
    Published by American Physical Society
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  • 7
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    On Vector Transforms (1948)
    American Physical Society
    Details
    Publication Date: 1948-11-15
    Print ISSN: 0031-899X
    Electronic ISSN: 1536-6065
    Topics: Physics
    Published by American Physical Society
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  • 8
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    Heat Conduction Along an Exponential Bar (1952)
    American Institute of Physics
    Details
    Publication Date: 1952-03-01
    Print ISSN: 0021-8979
    Electronic ISSN: 1089-7550
    Topics: Physics
    Published by American Institute of Physics
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  • 9
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    Electrostatics of Slender Bodies (1967)
    American Institute of Physics
    Details
    Publication Date: 1967-01-01
    Print ISSN: 0021-8979
    Electronic ISSN: 1089-7550
    Topics: Physics
    Published by American Institute of Physics
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  • 10
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    On Rayleigh scattering by a grating (1982)
    Elsevier
    Details
    Publication Date: 1982-07-01
    Print ISSN: 0165-2125
    Electronic ISSN: 1878-433X
    Topics: Geosciences , Physics
    Published by Elsevier
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