Measurement of scaling laws for shock waves in thermal nonlocal media
نویسندگان
چکیده
منابع مشابه
Thermal diffusion shock waves.
The Ludwig-Soret effect or thermal diffusion, which refers to the separation of liquid mixtures in a temperature gradient, is governed by a nonlinear, partial differential equation in space and time. It is shown here that the solution to the nonlinear differential equation for a binary mixture predicts the existence of shock waves completely analogous to fluid shocks and obeys an expression for...
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We experimentally investigate the interplay between spatial shock waves and the degree of disorder during nonlinear optical propagation in a thermal defocusing medium. We characterize the way the shock point is affected by the amount of disorder and scales with wave amplitude. Evidence for the existence of a phase diagram in terms of nonlinearity and amount of randomness is reported. The result...
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where u = u{x,t) E R , the flux f(u) is a smooth n-vector-valued function, and the viscosity B(u) is a smooth n x n matrix. We are interested in the stability of traveling waves, the "viscous shock waves", for (1). It is shown that when the initial data are a perturbation of viscous shock waves, then the solution converges to these viscous shock waves, properly translated in space, in the unifo...
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ژورنال
عنوان ژورنال: Optics Letters
سال: 2012
ISSN: 0146-9592,1539-4794
DOI: 10.1364/ol.37.002325