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Rarefaction

About: Rarefaction is a research topic. Over the lifetime, 1852 publications have been published within this topic receiving 26943 citations.


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Proceedings ArticleDOI
20 Sep 2004
TL;DR: In this paper, a femtosecond laser driven shock wave was used to provide the necessary time resolution required for following shock induced chemical kinetics, and enable very small scale shock physics experimentation.
Abstract: Shaped femtosecond laser driven shock waves fulfill the requisite time resolution required for following shock induced chemical kinetics, and enable very small scale shock physics experimentation. However, comparison to large scale experiments requires detailed characterization of the generated pressure profile. Spectroscopic studies at pressure and temperature are hindered by fluctuations in shock strength as functions of space and time. Representative time resolved broadband infrared absorption data on shocked polyvinylnitrate thin films are presented, followed by current efforts to alleviate spatial shock strength variations with spatial pulse shaping, and calculations of the interferometric phase shifts expected at long times, during the rarefaction.

6 citations

Journal ArticleDOI
TL;DR: In this paper, the nonlinear stability of the rarefaction wave for a one-dimensional macroscopic model derived from the Vlasov-Maxwell-Boltzmann system was analyzed.

6 citations

Journal ArticleDOI
TL;DR: In this paper, the formation of typical (structurally stable) singularities in nonlinear wave breaking in stable and unstable media is discussed and a solution of the Cauchy problem that describes the evolution of nonlinear perturbations of the Rayleigh-Taylor instability in terms of analytical functions of a complex variable is presented.
Abstract: We discuss the formation of typical (structurally stable) singularities in nonlinear wave breaking in stable and unstable media. The wake wave-break due to the inhomogeneity of the Langmuir frequency is accompanied by electron injection into the acceleration phase. In a wake wave excited behind a finite width laser pulse, the wave-breaking mechanism involves the increase, with the distance behind the pulse, of the curvature of the wake front, followed by the self-intersection of the electron trajectories. In the long wavelength limit, the Weibel instability which leads to the generation of a strong magnetic field, the relativistic self focusing and the Rayleigh–Taylor instability of a thin plasma slab provide examples of a common behavior with the rarefaction wave-breaking in unstable media. We present a solution of the Cauchy problem that describes the evolution of nonlinear perturbations of the Rayleigh–Taylor instability in terms of analytical functions of a complex variable.

6 citations

Journal ArticleDOI
TL;DR: The conditions of bubble cavitation in liquid media upon shock-wave loading are found in this paper, where it is shown that, for the development of an unbounded cavitation, the bubbles should grow to certain critical sizes sufficient for their transition to a nonequilibrium state owing to the elastic energy transferred by a rarefaction wave to a liquid sample.
Abstract: The conditions of development of bubble cavitation in liquid media upon shock-wave loading are found. It is s shown that, for the development of an unbounded cavitation, the bubbles should grow to certain critical sizes sufficient for their transition to a nonequilibrium state owing to the elastic energy transferred by a rarefaction wave to a liquid sample (at the stage of unloading). In contrast to low-viscosity liquids, in high-viscosity ones (such as glycerin) these conditions cannot be satisfied for any really attainable parameters of shock waves.

6 citations

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the asymptotic behavior of solutions to the Cauchy problem for the scalar viscous conservation law where the far field states are prescribed.
Abstract: In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem for the scalar viscous conservation law where the far field states are prescribed. Especially, we deal with the case when the viscosity is of non-Newtonian type, including a pseudo-plastic case. When the corresponding Riemann problem for the hyperbolic part admits a Riemann solution which consists of single rarefaction wave, under a condition on nonlinearity of the viscosity, it is proved that the solution of the Cauchy problem tends toward the rarefaction wave as time goes to infinity, without any smallness conditions.

6 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20224
2021105
202064
201964
201864
201773