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PROFILE
| 氏名 | 高橋秀慈（Shuji Takahashi） |
| 専門分野 | 応用解析学（偏微分方程式） |
| 担当科目 | 前期 ・解析学Ⅰ・同演習（演習） ・解析学Ⅲ・同演習（演習） ・積分論 後期 ・解析学Ⅱ・同演習（演習） ・常微分方程式 |
| 論文 | (1) On interior regularity criteria for the weak solutions of the Navier-Stokes equations, Manuscripta Math. 69 (1990), 237-254. (2) On regularity criterion up to the boundary for weak solutions of the Navier-Stokes equations, Comm. Partial Differential Equations 17 (1992), 261-285. (3) On the Poincar’e-Bogovski lemma of the differential forms, Proc. Japan Acad. 68, Ser.A, No.1 (1992), 1-6. (4) On global weak solutions of the nonstationary two-phase Stokes flow (with Y.Giga), SIAM J. Math. Anal., 25 (1994), 876-893. (5) Erratum to ‘‘ On regularity criterion up to the boundary for weak solutions of the Navier-Stokes equations", Comm. Partial Differential Equations 19 (1994), 1015-1017. (6) On global weak solutions of the nonstationary two-phase Navier-Stokes flow, Advances Math. Sci. Appl., 5 (1995), 321-342. (7) A weighted equation approach to dacay rate estimates for the Navier-Stokes equations, Nonlinear Analysis, 37 (1999), 751-789. (8) A note on Sandeman's simple physical theory of weak Mach reflection, Shock Waves, 11 (2002), 409-411 (with A. Sakurai, R. S. Srivastava, and F. Takayama) (9) Existence Theorem for the Point Source Blast Wave equation, preprint (10) On anisotropic decay estimates for the Navier-Stokes equations in the mixed norm spaces, in preparation |