Results 291 to 300 of about 5,378,040 (354)

Stable numerical coupling of exterior and interior problems for the wave equation

Numerische Mathematik, 2013
The acoustic wave equation on the whole three-dimensional space is considered with initial data and inhomogeneity having support in a bounded domain, which need not be convex.
L. Banjai, C. Lubich, F. Sayas
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Wave Equation

2014
Waves occur in various forms such as longitudinal acoustic waves in a medium such as air, transverse waves in a string, waves in a membrane and as electromagnetic radiation. All these are governed by the wave equation with the dependent variable being pressure or displacement or electric field etc.
S.P. Venkateshan, Prasanna Swaminathan
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The wave equation

The Leading Edge, 1987
The foundation of seismology is the theory of wave motion, a complicated concept that is still — after centuries of experiments and speculations by many of the very greatest scientists — an area of active research in many disciplines. Even simple forms of wave motion are difficult to describe verbally; but, ironically, the simplest type of wave is ...
Dean Clark, Enders A. Robinson
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The Laplace Equation and Wave Equation

1996
In this chapter we introduce the central linear partial differential equations of the second order, the Laplace equation $$\Delta u = f$$ (0.1) and the wave equation $$\left (\frac{{\partial }^{2}} {\partial {t}^{2}} -\Delta\right )u = f.$$ (0.2) For flat Euclidean space \(\mathbb{R}^{n}\), the Laplace operator is defined by ...
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Study of the generalization of regularized long-wave equation

Nonlinear dynamics, 2022
Yue Kai, Jialiang Ji, Zhixiang Yin
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On Relativistic Wave Equations

Physical Review, 1947
The problem of the relativistic invariance of a first-order wave equation with matrix coefficients ${\ensuremath{\beta}}_{k}$ is examined. It is found that it is intimately connected with the structure of the enveloping algebra of the $\ensuremath{\beta}$-matrices.
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The Massive Wave Equation in Asymptotically AdS Spacetimes

, 2012
We consider the massive wave equation on asymptotically AdS spaces. We show that the timelike $${\fancyscript{F}}$$ behaves like a finite timelike boundary, on which one may impose the equivalent of Dirichlet, Neumann or Robin conditions for a range of ...
C. Warnick
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On equations for wave interactions [PDF]

Letters in Mathematical Physics, 1983
Starting with the representation of nonlinear evolution equations given by the author [cf. Problems on high energy physics and quantum field theory. I., Proc. Int. Semin., 5. All-Union Conf., Protvino (USSR), 93- 114 (1982)] four new nonlinear evolution equations arising usually in hydrodynamics and plasma physics are obtained.
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On the geometry of the wave equation

Mathematical Proceedings of the Cambridge Philosophical Society, 1947
An account is given of the transformation of coordinates and of absolute axial frames in Euclidean space and Galilean space-time. The connexion with Eddington's group of E-numbers is shown. The geometrical properties of Dirac's wave equation and of analogous equations in three dimensions are discussed in terms of absolute axial frames.
A. G. D. Watson, A. E. Ingham
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The Wave Equation

1971
(a) Let (a1) be an ordinary linear differential equation with constant coefficients.
Giovanni Prouse, Luigi Amerio
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