一类Cahn-Hilliard-Navier-Stokes-Oono方程组的Cauchy问题OA
The Cauchy problem for a class of Cahn-Hilliard-Navier-Stokes-Oono system
研究了一类与两相流体界面扩散运动相关的Cahn-Hilliard-Navier-Stokes-Oono方程组的Cauchy问题.利用能量估计结合负Sobolev模范数估计,证明了方程组Cauchy问题强解的小初值整体存在性,并给出了整体强解高阶导数的衰减估计.
The Cauchy problem for the Cahn-Hilliard-Navier-Stokes-Oono system associated with diffu-sive motion at the interface of a two-phase fluid is investigated.Using the energy estimate combined with the negative Sobolev norm estimates,the existence of global strong solutions for the system provided the initial data is sufficiently small is proved and the decay estimate of the higher order derivatives of the strong solution is also obtained.
张雪;赵晓朋
东北大学理学院,110004,辽宁省沈阳市东北大学理学院,110004,辽宁省沈阳市
数理科学
Cahn-Hilliard-Navier-Stokes-Oono方程组能量估计Cauchy问题
Cahn-Hilliard-Navier-Stokes-Oono equationsenergy estimateCauchy problem
《曲阜师范大学学报（自然科学版）》 2026 (1)
67-72,6
中央高校基本科研业务费专项(N2005006).
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