Abstract
Burgers turbulence, which is described in terms of a velocity field u by 17.1.1 339–1 where μ > 0 is the viscocity, has been discussed in many contexts in physics and mathematics. In physical point of view investigation of Burgers turbulence has mainly the following two kinds of motivations. The one is intended to give a preliminary approach to turbulence prior to the Navier-Stokes turbulence [1]. The other is the fact that Burgers equation itself appears in various physical phenomena. For example it describes the formation and decay of weak shock waves in a compressible fluid [6] and is used to study the formation of large scale structure in the Universe [11] and the dynamics of interfaces [4]. As pointed out in [7] Burgers equation is also related to the neural signal transmission via so-called phase diffusion equation.
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Handa, K. (1993). A Remark on Shocks in Inviscid Burgers’ Turbulence. In: Fitzmaurice, N., Gurarie, D., McCaughan, F., Woyczyński, W.A. (eds) Nonlinear Waves and Weak Turbulence. Progress in Nonlinear Differential Equations and Their Applications, vol 11. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0331-5_17
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DOI: https://doi.org/10.1007/978-1-4612-0331-5_17
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