粒子表面の微小変形を考慮した極性流体の輸送方程式の混合問題に関する研究　第２報，完全吸着壁の場合の弱い解の一意存在定理

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  • On Mixed Problems of Transport Equations of Polar Fluids with Infinitesimal Particle Surface Deformation. 2nd Report, Unique Existence Theorem of a Weak Solution on Perfect Absorptive Barrier Boundary Condition.

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A clear design principle has not been established for powder surface modification technology by mechanical and physial methods, such as microencapsulation. In this paper, the transport equations of polar fluids proposed by the authors in a previous report are applied to microencapsulation. Using the functional analysis, we show mathematical properties of mixed problems under perfect absorptive barrier boundary condition. The unique existence theorem of a weak solution to mixed problems is obtained by a priori evalution and a successive approximation method. Since this weak solution tends to be a sufficient classical solution, these mixed problems are wellposed in the sense of Hadamard.

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