Study on Navier-Stokes equations and related nonlinear partial differential equations

(1) Masuda的结果：他能够证明连续函数空间中Navier-Stokes方程解的存在性。(2) Masuda和Kenmotsu的结果：他们可以完全分类二维复形的常高斯曲率最小曲面。(3) Morimoto的结果：她可以证明具有一般出口边界的二维平稳Navier-Stokes方程解的存在性，该方程具有某些对称区域的一般出口边界条件。此外，她还证明了具有一般出口边界条件的平稳Boussinesq方程解的存在性。(4) Tani的结果：他可以证明在粘性不可压缩流体流动中Stefan问题的经典可解性。此外，他还解决了二维不可压缩理想流体的自由边界问题。(5) Ishimura和Nakamura的结果：他们可以证明简化磁贝纳德系统的吸引子的收敛性。

(1) Masuda's Results : He could show the existence of solutions of Navier-Stokes equations in continuous function space.(2) The result of Masuda and Kenmotsu : They could classify completely the minimal surfaces of constant Gaussian curvature in two-dimensional complex form.(3) Morimoto's results : she could show the existence of solutions of two dimensional stationary Navier-Stokes equations with general outlet boundary with general outlet boundary condition forsome symmetric domain. Also, she could show the existence of solutions for stationary Boussinesq equations with general outlet boundary condition.(4) Tani's results : he could show the classical solvability of the Stefan problem in a viscous incompressible fluid flow. Also, he could solve a free boundary problem for an incompressible ideal fluid in two space dimensions.(5) The result of Ishimura and Nakamura : They could show the convergence of attracters for simplified magenetic Benard system.