CAJ | 학술논문

研究了van der waals流体动力学方程组,通过引入人工黏性和周期边界条件,给出了此类流体方程组解的渐近稳定性.计算了带人工黏性的定常解问题,通过局部解的存在唯一性分析和先验估计,证明了定常解在全局范围内的渐近稳定性.
연구료van der waals류체동역학방정조,통과인입인공점성화주기변계조건,급출료차류류체방정조해적점근은정성.계산료대인공점성적정상해문제,통과국부해적존재유일성분석화선험고계,증명료정상해재전국범위내적점근은정성.
A model system of van der Waals fluids has been investigated, and the asymptotic stability of the solu-tion has been established for a periodic boundary value problem with artificial viscosity. A solution of steady-state periodic boundary value problem has also been derived. By means of the existence and uniqueness of the local solu-tion and the priori estimates, the steady-state solution is shown to have asymptotic stability.