Energy estimate for a linear symmetric hyperbolic-parabolic system in half line
Energy estimate for a linear symmetric hyperbolic-parabolic system in half line
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DOI：
10.3934/krm.2013.6.883
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发表时间：
2013-11
影响因子：
1
通讯作者：
Tohru Nakamura;S. Nishibata
中科院分区：
文献类型：
--
作者：
Tohru Nakamura;S. Nishibata
本文研究了一维半空间中线性对称双曲抛物型方程组的初边值问题。在假定Shizuta—Kawashima型的稳定性条件成立的前提下，利用Matsumura—Nishida提出的能量方法，得到了半空间问题的先验估计。本文所建立的方法适用于半空间中粘性守恒律系统边界层解的非线性稳定性。
In the present paper, we study the initial boundary value problem for a linear symmetric hyperbolic-parabolic system in one-dimensional half space. We obtain a priori estimates by using an energy method developed by Matsumura--Nishida for half space problem under the assumption that a stability condition of Shizuta--Kawashima type holds. The method developed in the present paper is applicable to showing the nonlinear stability of boundary layer solutions for a system of viscous conservation laws in half space.