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

(1)增田的结果：他能证明连续函数空间中Navier-Stokes方程解的存在性。(2)增田和Kenmotsu的结果：他们可以完全分类二维复形式的常高斯曲率极小曲面。(3)Morimoto的结果：她能证明具有一般出口边界条件的二维定常Navier-Stokes方程解的存在性。此外，她可以显示的存在性解决方案的固定Boussinesq方程与一般出口边界条件。(4)谷的结果：他可以显示经典解的斯特凡问题在粘性不可压缩流体流动。此外，他可以解决一个自由边界问题的不可压缩的理想流体在两个空间维度。(5)Ishimura和中村的结果：对于简化的磁Benard系统，可以证明吸引子的收敛性.

(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.