Asymptotic Stability of the Stationary Solution to the Compressible Navier–Stokes Equations in the Half Space

Author:

Kawashima Shuichi,Nishibata Shinya,Zhu Peicheng

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference13 articles.

1. Friedman, A.: Partial Differential Equations of Parabolic Type. Englewood Cliffs, NJ: Prentice Hall, Inc., 1964

2. Il'in, A., Oleinik, O.: Asymptotic behavior of the solutions of Cauchy problems for certain quasilinear equations for large time (Russian). Mat. Sb. 51, 191–216 (1960)

3. Kawashima, S., Nishibata, S.: Stationary waves for the discrete Boltzmann equation in the half space with the reflective boundaries. Commun. Math. Phys. 211, 183–206 (2000)

4. Kawashima, S., Nishida, T.: Global solutions to the initial value problem for the equations of one-dimensional motion of viscous polytropic gases. J. Math. Kyoto Univ. 21(4), 825–837 (1981)

5. Kawashima, S., Zhu, P.: Asymptotic stability of the rarefaction waves of compressible Navier–Stokes equations in the half space. To appear

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