This is the tendency for water to pass through a membrane separating a weak solution from a strong one.
渗透是一种水通过膜的运动趋势，膜的两面分别是浓溶液和稀溶液。
If the weak solution can be proved to be unique, it is called the generalized solution.
若能证明弱解是唯一的，则称之为广义解。
Firstly, by use of the successive approximation method and a series of classical estimates, the local existence and uniqueness of weak solution are proved.
利用逐次逼近方法和一系列经典的估计，证明了弱解的局部存在性和惟一性。
The algorithm for a class of optimal control problem where the state variables are the weak solution of an elliptic partial differential equation is studied.
研究一类最优控制问题的求解方法，其状态变量是某一种椭圆型偏微分方程的弱解。
Specimens prepared by polishing and etching in a weak solution of nitric acid and alcohol reveal the lamellar structure of alternating plates that forms on slow cooling.
通过打磨并在弱硝酸酒精溶液中蚀刻制备的样本显示出由缓慢冷却形成的交互层状的薄片结构。
By the methods of operator semigroup and apriori estimates, the existence and uniqueness of the global weak solution and the global strong solution for the system are obtained.
利用算子半群方法和先验估计，证明了该问题整体弱解和整体强解的存在唯一性。
On the premise that the system there exists non-negative weak solution, the paper further discusses the semi-stability of the system solution using the theory of ordinary differential equations.
在该系统非负弱解存在的基础上，利用常微分方程理论，进一步讨论该系统解的半稳定性。
The existence of a nontrivial weak solution is established with the help of the first eigenvalue of the corresponding eigenvalue problem, where the eigenvalue parameter is less than a known constant.
借助相应带不定权特征值问题的第一特征值建立了其非平凡解的存在性定理，其中方程组中特征值参数小于某已知常数。
If we now release the continuity requirements on the function, i. e. lowering the order of the function space, we obtain a "weak" solution.
如果我们减弱函数的连续性要求，即降低函数空间的阶次，那么我们就得到一个“弱”解。
If we now release the continuity requirements on the function, i. e. lowering the order of the function space, we obtain a "weak" solution.
如果我们减弱函数的连续性要求，即降低函数空间的阶次，那么我们就得到一个“弱”解。
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