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The Navier-Stokes equations: Asymptotic solutions describing tangential discontinuities |
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| Authors: | A I Shafarevich |
| Institution: | (1) M. V. Lomonosov Moscow State University, USSR |
| Abstract: | Asymptotic solutions whose weak limit has a jump discontinuity on a two-dimensional surface are studied for the Navier-Stokes equations with small viscosity. The equations describing the leading term of the asymptotics and the correction terms are obtained and analyzed. A recursive procedure for constructing a formal asymptotic series satisfying the corresponding Cauchy problem is described. Translated fromMatermaticheskie Zametki, Vol. 67, No. 6, pp. 938–949, June, 2000. |
| Keywords: | Navier-Stokes equations tangential discontinuity small viscosity smoothing asymptotics discontinuity surface boundary layer Whitham method |
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