Zeitschrift für angewandte Mathematik und Physik
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Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method
Zeitschrift für angewandte Mathematik und Physik - Tập 41 - Trang 205-226 - 1990
Inclusion intervals for the firstN eigenvalues of a second-order ordinary
differential operator with boundary conditions of Sturm-Liouville or of periodic
type are derived by a combination of “elementary” estimates, an appropriate
numerical procedure and a homotopy algorithm.
Self-regulating regime of plasma heating by laser radiation
Zeitschrift für angewandte Mathematik und Physik - - 1965
On radiative-transfer problems with reflective boundary conditions and internal emission
Zeitschrift für angewandte Mathematik und Physik - Tập 35 - Trang 144-155 - 1984
An integral-transform technique and theF N method are used to solve basic
radiative-transfer problems. Boundary conditions that account for specular and
diffuse reflection as well as external illumination are used, and internal
emission is allowed. Emphasis is given to the azimuthally symmetric component of
the complete radiation field.
Aspects of the turbulence problem
Zeitschrift für angewandte Mathematik und Physik - Tập 3 - Trang 407-426 - 1952
Die Arbeit gibt einen Überblick über einige Probleme der neueren
Turbulenzforschung. Nach einer allgemeinen Einleitung werden zuerst elementare,
für die Turbulenztheorie wichtige Resultate der Theorie homogener,
stochastischer Vorgänge diskutiert. Im dritten Teil werden sodann Beispiele
linearer Systeme behandelt, bei denen die äusseren Kräfte von turbulenten
Schwankungen herrühren. Im vierten Tei...
The ‘electromagnetic’ Wigner equation for an electron with spin
Zeitschrift für angewandte Mathematik und Physik - Tập 40 - Trang 793-815 - 1989
We derive and analyse the three-dimensional quantum Liouville equation for an
electron with spin in an external electromagnetic field. By using methods of
semigroup theory, we prove existence and uniqueness of the initial value
problem. Expanding the solution into a series of pure states, we derive the
existence of a generalized particle density and anL ∞-estimate on the solution.
The last section...
Nonlinear vibrations of elastic circular plates exhibiting rectilinear orthotropy
Zeitschrift für angewandte Mathematik und Physik - - 1963
Es werden mittels einer Verallgemeinerung der von-Kármánschen Gleichungen auf
den dynamischen und orthotropen Fall die nichtlinearen Schwingungen elastisch
orthotroper Kreisplatten untersucht. Die Bewegungsgleichung wird mittels des
Galerkin-Verfahrens von den Ortsvariablen befreit. Als Beispiel wird Einspannung
des Randes unter Erhaltung der radialen Verschieblichkeit angenommen, und es
wird unte...
Randomly oscillating turbulent channel flows
Zeitschrift für angewandte Mathematik und Physik - Tập 15 - Trang 375-381 - 1964
The velocity response to a sinusoidally oscillating pressure gradient is
obtained for turbulent flow in a two-dimensional channel. The statistical
relations between a spectrum of such pressure pulsations and the resulting
spectrum of velocity oscillations are then written in terms of a spectral
transfer function. This function, which incorporates the dynamic solution is
complicated, but is well ap...
Diffraction of a spherical electromagnetic wave by a perfectly conducting half plane in a homogeneous biisotropic medium
Zeitschrift für angewandte Mathematik und Physik - - 1997
Partial integrability for general nonlinear systems
Zeitschrift für angewandte Mathematik und Physik - Tập 54 - Trang 26-47 - 2003
The purpose of this paper is to find a criterion of partial integrability for
general nonlinear systems. Here partial integrability means the existence of a
certain numbers of first integrals less than the number required for the
complete integration [10]. We also give an algebraic criterion of partial
integrability for general semi-quasihomogeneous systems.
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