時間依存性を主要項に持つ非線形発展方程式の可解性とその応用

概要

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In this paper we discuss the existence problem of weak solutions for a nonlinear parabolic partial differential equations. This system describes the solid-liquid phase transition phenomena. More precisely, this model consists of the Navier-Stokes equations and nonlinear heat equations as the free boundary problem. An estimate independent of the fluid motion is the key point to prove the main theorem. Moreover, we note the method in order to obtain the L^∞ estimate.
岐阜工業高等専門学校の論文
2007-03-01