We show that, expanding the Euler and continuity equations of relativistic hydrodynamics around equilibrium configurations and then combining them, it is possible to obtain a differential equation known as breaking wave equation. Taking a localized pulse as initial condition, we solve this different
On the concept and application of ‘partial coherence’ in non-linear wave propagation
✍ Scribed by Nicholas P. Hankins; Friedrich G. Helfferich
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 490 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0009-2509
No coin nor oath required. For personal study only.
✦ Synopsis
The concept of coherence was introduced to describe a state in which the concentration velocities of all components present within a composition are equal. A slightly less stringent state termed 'partial coherence' is defined, in which a particular sub-group of components may attain a state of coherence before the complete group of components does. Examples of physical systems in which partial coherence may occur are described: ion exchange with ideal co-ion exclusion, ion-exchange with clays in the presence of surfactant, two-phase flow with sorbable components partitioning between solid and aqueous phases, and precipitating and dissolving solids. The chief advantage of recognising systems as partially coherent is that it makes their analysis more straightforward under conditions previously regarded as non-coherent.
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