Pulses and Other Wave Processes in Fluids: An Asymptotical by Mark Kelbert, Igor Sazonov (auth.)

By Mark Kelbert, Igor Sazonov (auth.)

The topic of wave phenomena is recognized for its inter-disciplinary nature. growth during this box has been made either throughout the wish to resolve very functional difficulties, bobbing up in acoustics, optics, radiophysics, electronics, oceanography, me­ teorology and so forth, and during the improvement of mathematical physics which emphasised that perfectly diversified actual phenomena are ruled through an identical (or related) equations. within the colossal literature on physics of waves there is not any loss of stable displays of specific branches or common textbooks on mathematical physics. but when one restricts the eye to pulse propagation phenomena, one no­ tices that many beneficial evidence are scattered one of the quite a few books and journals, and their connections are usually not instantly obvious. for instance, the issues involv­ ing acoustic pulse propagation in bubbly beverages and people regarding electromagnetic pulses in resonant media are typically handled with out a lot go reference even with their visible connections. The authors of this publication have tried to jot down a coherent account of some pulse propagation difficulties chosen from diverse branches of utilized physics. even though the elemental fabric on linear pulse propagation is incorporated, a few themes have their very own detailed twists, and a entire remedy of this physique of fabric can infrequently be present in different resources. to begin with, the matter of pulse propagation in non­ equilibrium media (unstable or admitting attenuation) is much extra soft than it's obvious at a primary glance.

Show description

Read or Download Pulses and Other Wave Processes in Fluids: An Asymptotical Approach to Initial Problems PDF

Best nonfiction_8 books

Japanese Construction: An American Perspective

The Seventies and Nineteen Eighties were marked through turbulent occasions for yes parts of America's commercial base, as their dominance of many do­ mestic and overseas markets has eroded. in the course of such occasions of pressure it really is tempting to create scapegoats so that it will rationalize shortcomings. a lot is heard in regards to the jap during this regard.

Pulses and Other Wave Processes in Fluids: An Asymptotical Approach to Initial Problems

The topic of wave phenomena is recognized for its inter-disciplinary nature. growth during this box has been made either in the course of the wish to remedy very sensible difficulties, bobbing up in acoustics, optics, radiophysics, electronics, oceanography, me­ teorology etc, and during the advance of mathematical physics which emphasised that perfectly diversified actual phenomena are ruled by way of an analogous (or comparable) equations.

Finite Horizon H∞ and Related Control Problems

HIS booklet provides a generalized state-space thought for the research T and synthesis of finite horizon suboptimal Hoo controllers. We de­ rive expressions for a suboptimal controller in a common surroundings and suggest an approximate technique to the Hoo functionality robustness challenge. the fabric within the booklet is taken from a set of study papers written via the writer.

Alcune questioni di analisi numerica

A. Ghizzetti: a) Lezioni sui procedimenti di quasilinearizzazione e applicazioni. b) Nozioni fondamentali sulle equazioni alle differenze e sulle frazioni proceed. - P. Wynn: 4 lectures at the numerical program of persevered fractions. - W. Gautschi: power and weak point of three-term recurrence relation.

Extra info for Pulses and Other Wave Processes in Fluids: An Asymptotical Approach to Initial Problems

Example text

As was mentioned above the main reference waveforms are the initially 8shaped, O-shaped and modulated O-shaped pulses (d. Sec. 1). 1. 15):

THE UNCERTAINTY PRINCIPLE FOR A SIGNAL SPECTRUM AND ITS 'TAILS' In conclusion we derive here the well-known uncertainty principle in the particular case of localized signals. More precisely, we demonstrate that a localized signal possesses an analytical (and hence, infinite) spectrum. Suppose that the signal is located in the interval (Xl, X2). Its spectrum is expressed as the integral ! X2 J= (x)exp(-ikx)dx Xl convergent for any k (the integration domain is finite and the waveform has no singularities).

3. 1. A PARADOX OF INFINITELY HIGH GROUP VELOCITY As indicated earlier in Sec. 2 the velocity of energy and information transmission by a narrow-band signal coincides with the group velocity at the carried frequency. Mention was made that this result is valid for the CSP-media only. Whilst such an assumption was not used explicitly, the attempts to extend this relationship for non-equilibrium or dissipative media lead to paradoxes of the type discussed in the Introduction. Fragments of typical dispersion curves (plots of Rew(k)) for non-equilibrium media are presented in Fig.

Download PDF sample

Rated 4.37 of 5 – based on 32 votes