The phrase "inner solution" is correct and can be used in written English.
You can use it to refer to an answer or resolution that you have obtained within yourself, usually through personal reflection. For example, "I tried searching for an answer to my problem, but I eventually found the inner solution within myself."
Initial conditions for this outer solution are identified through matching with the asymptotic inner solution.
Subsequently, 300 µl of the lipid-paraffin solution was mixed with 30 µl inner solution supplemented with 200 mM of sucrose.
Coated wire electrodes were statistically shown to behave in the same way (selectivity and sensitivity) as inner solution electrodes.
The study presents by far the most complete solutions to these problems, with the outer solution up to O ε5) and the inner solution up to O ε2).
The resulting asymptotic solution consists of WKB solutions in regions away from the constriction and an inner solution valid in the near vicinity of the constriction.
The behavior of 3 composite sensors, and 6 more classical PVC based sensors either of the "inner solution" or "coated wire" type were studied.
Leading and first order asymptotic inner solutions in the temporal domain (early growth) are presented for the case of instantaneous diffusion when the fluid volume surrounding the bubble is large compared to the bubble volume.
The first-order corrections to the usual quasi-steady state (zeroth-order outer) solution, consisting of the zeroth-order inner solutions at both ends of the interval of operation and the first-order outer solutions, are calculated.
In this method we compare the inner expansion of the outer solutions with the outer expansion of the inner solutions to obtain the unknown constants (K_{1} - K_{5}).
According to the boundary conditions (19), we assume the inner solutions near the wall to be f tau)=1+sum_{i=1}^{infty} varepsilon^{i}phi_{i} tau),qquad g tau)=sum _{i=1}^{infty}varepsilon^{i} psi_{i} tau).
Primary emulsification was performed by a homogenizing inner aqueous solution with the coating polymer solution.
