Diffusive wave in the low Mach limit for non-viscous and heat-conductive gas |
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Authors: | Yechi Liu |
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Institution: | Key Laboratory of High Performance Computing and Stochastic Information Processing, Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, PR China |
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Abstract: | The low Mach number limit for one-dimensional non-isentropic compressible Navier–Stokes system without viscosity is investigated, where the density and temperature have different asymptotic states at far fields. It is proved that the solution of the system converges to a nonlinear diffusion wave globally in time as Mach number goes to zero. It is remarked that the velocity of diffusion wave is proportional with the variation of temperature. Furthermore, it is shown that the solution of compressible Navier–Stokes system also has the same phenomenon when Mach number is suitably small. |
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Keywords: | Compressible Navier–Stokes equations Low Mach limit Nonlinear diffusion wave |
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