منابع مشابه
Dispersive Hydrodynamics: the Mathematics of Dispersive Shock Waves and Applications
Dispersive hydrodynamics is the domain of applied mathematics and physics concerned with fluid motion in which internal friction, e.g., viscosity, is negligible relative to wave dispersion. In conservative media such as superfluids, optical materials, and water waves, nonlinearity has the tendency to engender wavebreaking that is mitigated by dispersion. The mathematical framework for such medi...
متن کاملDispersive hydrodynamics in viscous fluid conduits.
The evolution of the interface separating a conduit of light, viscous fluid rising buoyantly through a heavy, more viscous, exterior fluid at small Reynolds numbers is governed by the interplay between nonlinearity and dispersion. Previous authors have proposed an approximate model equation based on physical arguments, but a precise theoretical treatment for this two-fluid system with a free bo...
متن کاملHydrodynamics of modulated finite-amplitude waves in dispersive media
Analytic approaches are developed for integrating the nondiagonalizable Whitham equations for the generation and propagation of nonlinear modulated finite-amplitude waves in dissipationless dispersive media. Natural matching conditions for these equations are stated in a general form analogous to the Gurevich-Pitaevskii conditions for the averaged Kortewegde Vries equations. Exact relationships...
متن کاملShock Waves in Dispersive Hydrodynamics with Nonconvex Dispersion
Dissipationless hydrodynamics regularized by dispersion describe a number of physical media including water waves, nonlinear optics, and Bose–Einstein condensates. As in the classical theory of hyperbolic equations where a nonconvex flux leads to nonclassical solution structures, a nonconvex linear dispersion relation provides an intriguing dispersive hydrodynamic analogue. Here, the fifth orde...
متن کاملHypersonic flow past slender bodies in dispersive hydrodynamics
The problem of two-dimensional steady hypersonic flow past a slender body is formulated for dispersive media. It is shown that for the hypersonic flow, the original 2+ 0 boundary-value problem is asymptotically equivalent to the 1+ 1 piston problem for the fully nonlinear flow in the same physical system, which allows one to take advantage of the analytic methods developed for one-dimensional s...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2016
ISSN: 0167-2789
DOI: 10.1016/j.physd.2016.07.002