兼担
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理工学術院 大学院基幹理工学研究科
2022/05/17 更新
理工学術院 大学院基幹理工学研究科
理工学術院総合研究所 兼任研究員
東京大学 理学博士
Doctor of Science
東京大学 理学博士
日本数学会
基礎解析学
偏微分方程式、関数解析、実関数論
Two-dimensional stationary Navier–Stokes equations with 4-cyclic symmetry
Yamazaki, Masao
Mathematische Nachrichten 289 ( 17-18 ) 2281 - 2311 2016年12月 [査読有り]
Two-dimensional stationary Navier–Stokes equations with 4-cyclic symmetry
Yamazaki, Masao
Mathematische Nachrichten 289 ( 17-18 ) 2281 - 2311 2016年12月
Rate of convergence to the stationary solution of the navier-stokes exterior problem
Masao Yamazaki
Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday none 459 - 482 2016年
THE STABILITY AND THE RATE OF CONVERGENCE TO STATIONARY SOLUTIONS OF THE TWO-DIMENSIONAL NAVIER-STOKES EXTERIOR PROBLEM (Mathematical Analysis of Viscous Incompressible Fluid : RIMS研究集会報告集)
山崎 昌男
数理解析研究所講究録 1905 90 - 111 2014年07月
Concentration-diffusion phenomena of heat convection in an incompressible fluid
Reinhard Farwig, Raphael Schulz, Masao Yamazaki
ASYMPTOTIC ANALYSIS 88 ( 1-2 ) 17 - 41 2014年 [査読有り]
On a Stationary Problem of the Stokes Equation in an Infinite Layer in Sobolev and Besov Spaces
Takayuki Abe, Masao Yamazaki
JOURNAL OF MATHEMATICAL FLUID MECHANICS 12 ( 1 ) 61 - 100 2010年03月 [査読有り]
Uniform estimates in the velocity at infinity for stationary solutions to the Navier-Stokes exterior probliem
Yoshihiro Shibata, Masao Yamazaki
Japan. J. Math. (2) 31 ( 2 ) 225 - 279 2005年12月
Semilinear heat equations with distributions in Morrey spaces as initial data
Masao Yamazaki, Xiaofang Zhou
Hokkaido Mathematical Journal 30 ( 3 ) 537 - 571 2001年
Solutions in the Morrey spaces of the Navier-Stokes equations with time-dependent external force
Masao Yamazaki
Funkcialaj Ekvacioj 43 ( 3 ) 419 - 460 2000年12月
The Navier-Stokes equations in the weak-Ln space with time-dependent external force
Masao Yamazaki
Math. Ann. 317 ( 4 ) 638 - 675 2000年08月 [査読有り]
Uniqueness criterion of weak solutions to the stationary Navier-Stokes equations in exterior domains
H Kozono, M Yamazaki
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 38 ( 8 ) 959 - 970 1999年12月 [査読有り]
種々の函数空間におけるNavier-Stokes方程式
山崎 昌男
数学 51 ( 3 ) 291 - 308 1999年07月
Distributionを初期値とするNavier-Stokes方程式
山崎 昌男
東京大学数理学セミナリーノート16/東京大学数理科学研究科 1999年06月
Existence, uniqueness and stability of stationary solutions in the weak-Ln</> space to the Navier-Stokes exterior problem
Masao Yamazaki
Recent Topics on Mathematical Theory of Viscous Incompressible Fluid, Proc. Regional Workshop of MSJ, Univ. Tsukuba, 1996, H. kozono and Y. Shibata, eds., Kinokuniya 16 225 - 270 1998年12月
Exterior problem for the Navier-Stokes equations, existence, uniqueness and stability of stationary solutions
Hideo Kozono, Masao Yamazaki
Theory of the Navier-Stokes equations, Proc. third Int. Conf. At Oberwolfach, Germany, J. G. Heywood, K. Masuda, R. Rautmann and V. A. Solonnikov, eds., World Scientific 47 86 - 98 1998年10月
On a larger class of stable solutions to the Navier-stokes equations in exterior domains
Hideo Kozono, Masao Yamazaki
Math. Z. 228 ( 4 ) 751 - 785 1998年08月 [査読有り]
M. E. Taylor, Pseudodifferential Operators and Nonlinear PDE, Progress in Mathematics, Vol.100, Birkhäuser, Boston, 1991
山崎 昌男
数学 50 ( 3 ) 325 - 327 1998年07月
Exterior problem for the stationary Navier-stokes equations in the Lorentz space
Hideo Kozono, Masao Yamazaki
Math. Ann. 310 ( 2 ) 279 - 305 1998年02月 [査読有り]
The Cauchy problem in the Lorentz space for the Navier-stokes equation in exterior domains
Masao Yamazaki
Proc. Fourth MSJ International Research Institute, Nonlinear Waves, R. Agemi, Y. Giga and T. Ozawa, eds., Gakuto Int. Ser. Math. Sci. Appl. Vol. 10, Gakkôtosho 243 - 248 1997年08月
The Navier-Stokes equation with distributions as intial data and application to self-similar solutions
Hideo Kozono, Masao Yamazaki
Proc. Conf. New Trends in Microlocal Analysis, J.-M. Bony and M. Morimoto, eds., Springer 125 - 141 1997年04月
Representation formula, net force and energy relation to the stationary navier-stokes equations in 3-dimensional exterior domains
Hideo Kozono, Hermann Sohr, Masao Yamazaki
Kyushu Journal of Mathematics 51 ( 1 ) 239 - 260 1997年
The Cauchy problem for a class of 2x2 hyperbolic systems of conservation laws with unbounded propagtion speed
Masao Yamazaki, Taeko Yamazaki
Adv. Differential Equations 1 ( 5 ) 817 - 856 1996年09月
The stability small stationary solutions in Morrey spaces of the Navier-Stokes equation
Hideo Kozono, Masao Yamazaki
Indiana Univ. Math. J. 44 ( 4 ) 1307 - 1336 1995年12月
Small stable stationary solutions in Morrey spaces of the Navier-Stokes equation
Hideo Kozono, Masao Yamazaki
Proc. Japan Acad., Ser. A 71 ( 9 ) 199 - 201 1995年10月
The exterior problem for the non-stationary Navier-Stokes equation with data in the space Ln,∞
Hideo Kozono, Masao Yamazaki
C. R. Acad. Sci. Paris, Sér. I 320 ( 6 ) 685 - 690 1995年09月
The Navier-Stokes exterior problem with Cauchy data in the space Ln,∞
Hideo Kozono, Masao Yamazaki
Proc. Conf. Advances in Geometric Analysis and Continuum Mechanics, P. Concus and K. Lancaster, eds., International Press 160 - 174 1995年08月
Local and global unique solvability of the Navier-Stokes exterior problem with Cauchy data in the space Ln,∞
Hideo Kozono, Masao Yamazaki
Houston J. Math. 21 ( 4 ) 755 - 799 1995年 [査読有り]
SEMILINEAR HEAT-EQUATIONS AND THE NAVIER-STOKES EQUATION WITH DISTRIBUTIONS IN NEW FUNCTION-SPACES AS INITIAL DATA
H KOZONO, M YAMAZAKI
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 19 ( 5-6 ) 959 - 1014 1994年 [査読有り]
Semilinear heat equations and the Navier-Stokes equation with distributions as intial data
Hideo Kozono, Masao Yamazaki
C. R. Acad. Sci. Paris, Sér. I 317 ( 12 ) 1127 - 1132 1993年06月
THE ESSENTIAL SELF-ADJOINTNESS OF PSEUDODIFFERENTIAL-OPERATORS ASSOCIATED WITH NONELLIPTIC WEYL SYMBOLS WITH LARGE POTENTIALS
M YAMAZAKI
OSAKA JOURNAL OF MATHEMATICS 29 ( 2 ) 175 - 202 1992年06月 [査読有り]
On the microlocal smoothing effect of dispersive partial differential equations, I. Second-order linear equations
Algebraic Analysis, M. Kashiwara and T. Kawai, eds., Academic Press ( 2 ) 911 - 926 1989年08月
THE WEIGHTED LP-BOUNDEDNESS OF PRODUCT-TYPE PSEUDODIFFERENTIAL-OPERATORS
M YAMAZAKI
ADVANCES IN MATHEMATICS 74 ( 1 ) 31 - 56 1989年03月 [査読有り]
A quasi-homogeneous version of the microlocal analysis for nonlinear partial defferential equations
Masao Yamazaki
Japan. J. Math (2) 14 ( 2 ) 225 - 260 1988年12月
Boundedness of product type pseudodifferential operators on spaces pf Besov type
Masao Yamazaki
Math. Nachr. 133 297 - 315 1987年10月 [査読有り]
PROPAGATION OF QUASI-HOMOGENEOUS MICROLOCAL SINGULARITIES OF SOLUTIONS TO NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS
M YAMAZAKI
LECTURE NOTES IN MATHEMATICS 1256 442 - 466 1987年 [査読有り]
A quasi-homogeneous version of paradifferential operators,II. A symbol calculus
Masao Yamazaki
J. Fac. Sci. Univ. Tokyo, IA 33 ( 2 ) 311 - 345 1986年10月
THE LP-BOUNDEDNESS OF PSEUDODIFFERENTIAL-OPERATORS WITH ESTIMATES OF PARABOLIC TYPE AND PRODUCT TYPE
M YAMAZAKI
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 38 ( 2 ) 199 - 225 1986年04月 [査読有り]
A quasi-homogeneous version of paradifferential operators,I. Boundedness on spaces of Besov type
Masao Yamazaki
J. Fac. Sci. Univ. Tokyo, IA 33 ( 1 ) 131 - 174 1986年04月
QUASI-HOMOGENEOUS MICROLOCAL ANALYSIS FOR NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS
M YAMAZAKI
PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS 45 ( 2 ) 573 - 577 1986年 [査読有り]
The Lp-boundedness of pseudo-differential operatoras satisfying estimates of parabolic type and product type, II
Masao Yamazaki
Proc. Japan Acad., Ser. A 61 ( 4 ) 95 - 98 1985年04月 [査読有り]
Regularité microlocale quasi homogène des solutions d'équations aux dérivées partielles non linéaires
Masao Yamazaki
C. R. Acad. Sci. Paris, Sêr. I 298 ( 10 ) 225 - 228 1984年09月
THE LP-BOUNDEDNESS OF PSEUDODIFFERENTIAL-OPERATORS SATISFYING ESTIMATES OF PARABOLIC TYPE AND PRODUCT TYPE
M YAMAZAKI
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 60 ( 8 ) 279 - 282 1984年 [査読有り]
Continuité des opérateurs pseudo-différentiels et para-différentiels dans les espaces de Besov et des espaces de Triebel-Lizorkin non-isotropes
Masao Yamazaki
C. R. Acad. Sci. Paris, Sér. I 296 ( 13 ) 533 - 536 1983年10月
外力を持つ外部領域上の Navier-Stokes 方程式の実解析的研究
研究期間:
流体現象のマクロ構造とメゾ構造解明のための解析理論の構築
研究期間:
Fourier解析と摂動論の方法による偏微分方程式の研究
フラクタルと数の同時近似について
Hardy空間と補間理論を用いる偏微分方程式の研究
補間空間と摂動論を用いるNavier-Stokes方程式の研究
群の作用する頂点作用素代数の研究
多値論理関数からなる高次クローン束の構造の研究
Fourier解析と半群の理論を用いるNavier-Stokes方程式の研究
流体方程式の解の大域挙動の研究
数学的クローン理論におけるガロア対応
非線型微分方程式の変分法を用いた解析
変分的手法にほる非線型問題の研究
変分的アプローチによる非線型問題の総合的研究