×

zbMATH — the first resource for mathematics

Miyakawa, Tetsuro

Compute Distance To:
Author ID: miyakawa.tetsuro Recent zbMATH articles by "Miyakawa, Tetsuro"
Published as: Miyakawa, Tetsuro; Miyakawa, Tetsurō
Documents Indexed: 53 Publications since 1977, including 1 Book
Biographic References: 3 Publications

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 1,249 times in 731 Documents Cited by Year
Solutions in \(L_ r\) of the Navier-Stokes initial value problem. Zbl 0587.35078
Giga, Yoshikazu; Miyakawa, Tetsuro
161
1985
Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. Zbl 0681.35072
Giga, Yoshikazu; Miyakawa, Tetsuro
115
1989
On \(L^ 2\) decay of weak solutions of the Navier-Stokes equations in \(\mathbb R^ n\). Zbl 0607.35072
Kajikiya, Ryuji; Miyakawa, Tetsuro
86
1986
On nonstationary solutions of the Navier-Stokes equations in an exterior domain. Zbl 0486.35067
Miyakawa, Tetsuro
85
1982
\(L^ 2\) decay for the Navier-Stokes flow in halfspaces. Zbl 0627.35076
Borchers, Wolfgang; Miyakawa, Tetsuro
70
1988
Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains. Zbl 0722.35014
Borchers, Wolfgang; Miyakawa, Tetsuro
67
1990
Two-dimensional Navier-Stokes flow with measures as initial vorticity. Zbl 0666.76052
Giga, Yoshikazu; Miyakawa, Tetsuro; Osada, Hirofumi
65
1988
On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0642.35067
Miyakawa, Tetsuro; Sohr, Hermann
53
1988
On stability of exterior stationary Navier-Stokes flows. Zbl 0847.35099
Borchers, Wolfgang; Miyakawa, Tetsuro
46
1995
\(L^ 2\)-decay for Navier-Stokes flows in unbounded domains, with application to exterior stationary flows. Zbl 0756.76018
Borchers, Wolfgang; Miyakawa, Tetsuro
42
1992
Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the whole space. Zbl 0995.35046
Fujigaki, Yoshiko; Miyakawa, Tetsuro
37
2001
On optimal decay rates for weak solutions to the Navier-Stokes equations in \(\mathbb R^n\). Zbl 0981.35048
Miyakawa, Tetsuro; Schonbek, Maria Elena
33
2001
Existence and periodicity of weak solutions of the Navier-Stokes equations in a time dependent domain. Zbl 0526.35068
Miyakawa, Tetsuro; Teramoto, Yoshiaki
32
1982
On space-time decay properties of nonstationary incompressible Navier-Stokes flows in \(\mathbb{R}^n\). Zbl 1142.35545
Miyakawa, Tetsuro
31
2000
A kinetic construction of global solutions of first order quasilinear equations. Zbl 0519.35053
Giga, Yoshikazu; Miyakawa, Tetsuro
28
1983
Hardy spaces of solenoidal vector fields, with applications to the Navier-Stokes equations. Zbl 0883.35088
Miyakawa, Tetsuro
27
1996
On \(L^1\)-summability and asymptotic profiles for smooth solutions to Navier-Stokes equations in a 3D exterior domain. Zbl 1042.35046
He, Cheng; Miyakawa, Tetsuro
25
2003
Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the half-space. Zbl 1027.35089
Fujigaki, Yoshiko; Miyakawa, Tetsuro
23
2001
Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries. Zbl 1122.35095
He, Cheng; Miyakawa, Tetsuro
19
2006
Notes on space-time decay properties of nonstationary incompressible Navier-Stokes flows in \(\mathbb{R}^n\). Zbl 1141.35434
Miyakawa, Tetsuro
17
2002
On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. Zbl 1162.35061
He, Cheng; Miyakawa, Tetsuro
17
2009
On the initial value problem for the Navier-Stokes equations in \(L^ p\) spaces. Zbl 0457.35073
Miyakawa, Tetsuro
17
1981
Decay properties of weak solutions to a perturbed Navier-Stokes system in \(\mathbb{R}^n\). Zbl 0893.35092
Chen, Zhimin; Miyakawa, Tetsuro
16
1997
Application of Hardy space techniques to the time-decay problem for incompressible Navier-Stokes flows in \(\mathbb{R}^ n\). Zbl 1142.35544
Miyakawa, Tetsuro
16
1998
The \(L^ p\) approach to the Navier-Stokes equations with the Neumann boundary condition. Zbl 0455.35099
Miyakawa, Tetsuro
15
1980
On upper and lower bounds of rates of decay for nonstationary Navier-Stokes flows in the whole space. Zbl 1048.35063
Miyakawa, Tetsuro
13
2002
Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains. II. Zbl 0756.35066
Borchers, Wolfgang; Miyakawa, Tetsuro
13
1991
The Helmholtz decomposition of vector fields in some unbounded domains. Zbl 0814.35096
Miyakawa, Tetsuro
11
1994
On some coercive estimates for the Stokes problem in unbounded domains. Zbl 0779.35085
Borchers, Wolfgang; Miyakawa, Tetsuro
10
1992
Some properties of solutions for semilinear heat equations with timelag. Zbl 0314.35051
Inoue, Atsushi; Miyakawa, Tetsuro; Yoshida, Kiyoshi
9
1977
On Morrey spaces of measures: Basic properties and potential estimates. Zbl 0728.31007
Miyakawa, Tetsuro
8
1990
On solutions with fast decay of nonstationary Navier-Stokes system in the half-space. Zbl 1290.35183
Fujigaki, Yoshiko; Miyakawa, Tetsuro
7
2002
Planar Navier-Stokes flows in a bounded domain with measures as initial vorticities. Zbl 0796.35130
Miyakawa, Tetsuro; Yamada, Mitsuhiro
6
1992
On two-dimensional Navier-Stokes flows with rotational symmetries. Zbl 1179.35215
He, Cheng; Miyakawa, Tetsuro
5
2006
Remarks on stability of purely conductive steady states to the exterior Boussinesq problem. Zbl 0777.35055
Chen, Zhimin; Kagei, Yoshiyuki; Miyakawa, Tetsuro
4
1992
On \(L^1\)-stability of stationary Navier-Stokes flows in \(\mathbb{R}^n\). Zbl 0990.35117
Miyakawa, Tetsuro
4
1997
On existence and space-time behavior of dissipative 2D quasi-geostrophic flows. Zbl 1216.35010
Tun, May Thi; Miyakawa, Tetsuro
4
2010
On uniqueness of steady Navier-Stokes flows in an exterior domain. Zbl 0841.76019
Miyakawa, Tetsuro
3
1995
On stationary incompressible Navier-Stokes flows with fast decay and the vanishing flux condition. Zbl 0915.35081
Miyakawa, Tetsuro
2
1999
A kinetic approach to general first order quasilinear equations. Zbl 0568.35063
Giga, Yoshikazu; Miyakawa, Tetsuro; Oharu, Shinnosuke
2
1985
A proof of the Helmholtz decomposition of vector fields over the half-space. Zbl 1168.46021
Tun, May Thi; Miyakawa, Tetsuro
1
2008
Construction of solutions of a semilinear parabolic equation with the aid of the linear Boltzmann equation. Zbl 0562.35047
Miyakawa, Tetsuro
1
1984
A kinetic approximation of entropy solutions of first order quasilinear equations. Zbl 0567.35014
Miyakawa, Tetsuro
1
1984
On the existence of solutions for linearized Euler’s equation. Zbl 0471.34002
Inoue, Atsushi; Miyakawa, Tetsuro
1
1979
On large time behavior of the total kinetic energy for weak solutions of the Navier-Stokes equations in unbounded domains. Zbl 0707.35116
Borchers, Wolfgang; Miyakawa, Tetsuro
1
1990
On existence and space-time behavior of dissipative 2D quasi-geostrophic flows. Zbl 1216.35010
Tun, May Thi; Miyakawa, Tetsuro
4
2010
On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. Zbl 1162.35061
He, Cheng; Miyakawa, Tetsuro
17
2009
A proof of the Helmholtz decomposition of vector fields over the half-space. Zbl 1168.46021
Tun, May Thi; Miyakawa, Tetsuro
1
2008
Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries. Zbl 1122.35095
He, Cheng; Miyakawa, Tetsuro
19
2006
On two-dimensional Navier-Stokes flows with rotational symmetries. Zbl 1179.35215
He, Cheng; Miyakawa, Tetsuro
5
2006
On \(L^1\)-summability and asymptotic profiles for smooth solutions to Navier-Stokes equations in a 3D exterior domain. Zbl 1042.35046
He, Cheng; Miyakawa, Tetsuro
25
2003
Notes on space-time decay properties of nonstationary incompressible Navier-Stokes flows in \(\mathbb{R}^n\). Zbl 1141.35434
Miyakawa, Tetsuro
17
2002
On upper and lower bounds of rates of decay for nonstationary Navier-Stokes flows in the whole space. Zbl 1048.35063
Miyakawa, Tetsuro
13
2002
On solutions with fast decay of nonstationary Navier-Stokes system in the half-space. Zbl 1290.35183
Fujigaki, Yoshiko; Miyakawa, Tetsuro
7
2002
Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the whole space. Zbl 0995.35046
Fujigaki, Yoshiko; Miyakawa, Tetsuro
37
2001
On optimal decay rates for weak solutions to the Navier-Stokes equations in \(\mathbb R^n\). Zbl 0981.35048
Miyakawa, Tetsuro; Schonbek, Maria Elena
33
2001
Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the half-space. Zbl 1027.35089
Fujigaki, Yoshiko; Miyakawa, Tetsuro
23
2001
On space-time decay properties of nonstationary incompressible Navier-Stokes flows in \(\mathbb{R}^n\). Zbl 1142.35545
Miyakawa, Tetsuro
31
2000
On stationary incompressible Navier-Stokes flows with fast decay and the vanishing flux condition. Zbl 0915.35081
Miyakawa, Tetsuro
2
1999
Application of Hardy space techniques to the time-decay problem for incompressible Navier-Stokes flows in \(\mathbb{R}^ n\). Zbl 1142.35544
Miyakawa, Tetsuro
16
1998
Decay properties of weak solutions to a perturbed Navier-Stokes system in \(\mathbb{R}^n\). Zbl 0893.35092
Chen, Zhimin; Miyakawa, Tetsuro
16
1997
On \(L^1\)-stability of stationary Navier-Stokes flows in \(\mathbb{R}^n\). Zbl 0990.35117
Miyakawa, Tetsuro
4
1997
Hardy spaces of solenoidal vector fields, with applications to the Navier-Stokes equations. Zbl 0883.35088
Miyakawa, Tetsuro
27
1996
On stability of exterior stationary Navier-Stokes flows. Zbl 0847.35099
Borchers, Wolfgang; Miyakawa, Tetsuro
46
1995
On uniqueness of steady Navier-Stokes flows in an exterior domain. Zbl 0841.76019
Miyakawa, Tetsuro
3
1995
The Helmholtz decomposition of vector fields in some unbounded domains. Zbl 0814.35096
Miyakawa, Tetsuro
11
1994
\(L^ 2\)-decay for Navier-Stokes flows in unbounded domains, with application to exterior stationary flows. Zbl 0756.76018
Borchers, Wolfgang; Miyakawa, Tetsuro
42
1992
On some coercive estimates for the Stokes problem in unbounded domains. Zbl 0779.35085
Borchers, Wolfgang; Miyakawa, Tetsuro
10
1992
Planar Navier-Stokes flows in a bounded domain with measures as initial vorticities. Zbl 0796.35130
Miyakawa, Tetsuro; Yamada, Mitsuhiro
6
1992
Remarks on stability of purely conductive steady states to the exterior Boussinesq problem. Zbl 0777.35055
Chen, Zhimin; Kagei, Yoshiyuki; Miyakawa, Tetsuro
4
1992
Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains. II. Zbl 0756.35066
Borchers, Wolfgang; Miyakawa, Tetsuro
13
1991
Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains. Zbl 0722.35014
Borchers, Wolfgang; Miyakawa, Tetsuro
67
1990
On Morrey spaces of measures: Basic properties and potential estimates. Zbl 0728.31007
Miyakawa, Tetsuro
8
1990
On large time behavior of the total kinetic energy for weak solutions of the Navier-Stokes equations in unbounded domains. Zbl 0707.35116
Borchers, Wolfgang; Miyakawa, Tetsuro
1
1990
Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. Zbl 0681.35072
Giga, Yoshikazu; Miyakawa, Tetsuro
115
1989
\(L^ 2\) decay for the Navier-Stokes flow in halfspaces. Zbl 0627.35076
Borchers, Wolfgang; Miyakawa, Tetsuro
70
1988
Two-dimensional Navier-Stokes flow with measures as initial vorticity. Zbl 0666.76052
Giga, Yoshikazu; Miyakawa, Tetsuro; Osada, Hirofumi
65
1988
On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0642.35067
Miyakawa, Tetsuro; Sohr, Hermann
53
1988
On \(L^ 2\) decay of weak solutions of the Navier-Stokes equations in \(\mathbb R^ n\). Zbl 0607.35072
Kajikiya, Ryuji; Miyakawa, Tetsuro
86
1986
Solutions in \(L_ r\) of the Navier-Stokes initial value problem. Zbl 0587.35078
Giga, Yoshikazu; Miyakawa, Tetsuro
161
1985
A kinetic approach to general first order quasilinear equations. Zbl 0568.35063
Giga, Yoshikazu; Miyakawa, Tetsuro; Oharu, Shinnosuke
2
1985
Construction of solutions of a semilinear parabolic equation with the aid of the linear Boltzmann equation. Zbl 0562.35047
Miyakawa, Tetsuro
1
1984
A kinetic approximation of entropy solutions of first order quasilinear equations. Zbl 0567.35014
Miyakawa, Tetsuro
1
1984
A kinetic construction of global solutions of first order quasilinear equations. Zbl 0519.35053
Giga, Yoshikazu; Miyakawa, Tetsuro
28
1983
On nonstationary solutions of the Navier-Stokes equations in an exterior domain. Zbl 0486.35067
Miyakawa, Tetsuro
85
1982
Existence and periodicity of weak solutions of the Navier-Stokes equations in a time dependent domain. Zbl 0526.35068
Miyakawa, Tetsuro; Teramoto, Yoshiaki
32
1982
On the initial value problem for the Navier-Stokes equations in \(L^ p\) spaces. Zbl 0457.35073
Miyakawa, Tetsuro
17
1981
The \(L^ p\) approach to the Navier-Stokes equations with the Neumann boundary condition. Zbl 0455.35099
Miyakawa, Tetsuro
15
1980
On the existence of solutions for linearized Euler’s equation. Zbl 0471.34002
Inoue, Atsushi; Miyakawa, Tetsuro
1
1979
Some properties of solutions for semilinear heat equations with timelag. Zbl 0314.35051
Inoue, Atsushi; Miyakawa, Tetsuro; Yoshida, Kiyoshi
9
1977
all top 5

Cited by 653 Authors

33 Kozono, Hideo
25 Farwig, Reinhard
19 Giga, Yoshikazu
18 Han, Pigong
17 Sohr, Hermann
15 Maremonti, Paolo
13 Schonbek, Maria Elena
12 Bae, Hyeong-Ohk
12 Jin, Bum Ja
12 Ogawa, Takayoshi
11 Ferreira, Lucas Catão de Freitas
11 Hieber, Matthias
10 Brandolese, Lorenzo
10 Karch, Grzegorz
10 Miyakawa, Tetsuro
10 Taniuchi, Yasushi
9 Deuring, Paul
9 Dong, Boqing
9 Hishida, Toshiaki
8 Liu, Zhaoxia
8 Nguyen Thieu Huy
8 Shimizu, Senjo
8 Tsai, Tai-Peng
7 Biler, Piotr
7 Borchers, Wolfgang
7 Galdi, Giovanni Paolo
7 He, Cheng
7 Maekawa, Yasunori
7 Okabe, Takahiro
7 Skalák, Zdeněk
7 Yamamoto, Masakazu
6 Amrouche, Chérif
6 Chen, Zhimin
6 Dlotko, Tomasz W.
6 Komo, Christian
6 Roh, Jaiok
5 Al Baba, Hind
5 Avrin, Joel D.
5 Biswas, Animikh
5 Bradshaw, Zachary
5 Chang, Tongkeun
5 Chemin, Jean-Yves
5 Gallagher, Isabelle
5 Nakatsuka, Tomoyuki
5 Perthame, Benoît
5 Šverák, Vladimír
5 Tsutsui, Yohei
5 Vu Thi Ngoc Ha
4 Besse, Nicolas
4 Ferrario, Benedetta
4 Gala, Sadek
4 Gallay, Thierry
4 Geissert, Matthias
4 Jia, Yan
4 Monniaux, Sylvie
4 Nakao, Kohei
4 Pilarczyk, Dominika
4 Rojas-Medar, Marko Antonio
4 Saal, Jürgen
4 Sawada, Okihiro
4 Shibata, Yoshihiro
4 Tadmor, Eitan
4 Takada, Ryo
4 Varnhorn, Werner
4 Villamizar-Roa, Elder Jesús
4 Yamazaki, Masao
4 Zhang, Ping
4 Zhao, Xiaopeng
3 Bolkart, Martin
3 Brenier, Yann
3 Carrillo de la Plata, José Antonio
3 Choe, Hi Jun
3 de Almeida, Marcelo Fernandes
3 Dong, Hongjie
3 Giorgini, Andrea
3 Guo, Boling
3 Heck, Horst
3 Iftimie, Dragoş
3 Ishige, Kazuhiro
3 Kawakami, Tatsuki
3 Kim, Hyunseok
3 Koba, Hajime
3 Kukavica, Igor
3 Li, Kaitai
3 Li, Pengtao
3 Lopes Filho, Milton da Costa
3 Miao, Changxing
3 Mitrea, Marius
3 Miura, Hideyuki
3 Nagai, Toshitaka
3 Neustupa, Jiří
3 Niche, César J.
3 Nussenzveig Lopes, Helena Judith
3 Olivera, Christian
3 Ozawa, Tohru
3 Peng, Weimin
3 Perepelitsa, Misha
3 Pérez-López, Jhean E.
3 Rautmann, Reimund
3 Ri, Myong-Hwan
...and 553 more Authors
all top 5

Cited in 149 Serials

68 Journal of Differential Equations
43 Journal of Mathematical Analysis and Applications
41 Archive for Rational Mechanics and Analysis
35 Journal of Mathematical Fluid Mechanics
33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
28 Journal of Functional Analysis
20 Communications in Mathematical Physics
19 Communications in Partial Differential Equations
18 Mathematical Methods in the Applied Sciences
16 Mathematische Zeitschrift
15 Mathematische Annalen
13 Journal of Evolution Equations
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Discrete and Continuous Dynamical Systems
12 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
11 Journal of Mathematical Physics
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 SIAM Journal on Mathematical Analysis
10 Nonlinear Analysis. Theory, Methods & Applications
9 Transactions of the American Mathematical Society
8 Manuscripta Mathematica
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Nonlinear Analysis. Real World Applications
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Mathematische Nachrichten
7 Tohoku Mathematical Journal. Second Series
7 Acta Applicandae Mathematicae
7 Acta Mathematicae Applicatae Sinica. English Series
7 Communications on Pure and Applied Analysis
5 Journal of the Mathematical Society of Japan
5 Applied Mathematics Letters
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Abstract and Applied Analysis
5 Acta Mathematica Sinica. English Series
4 Applicable Analysis
4 Applied Mathematics and Computation
4 Proceedings of the American Mathematical Society
4 Proceedings of the Japan Academy. Series A
4 Japan Journal of Industrial and Applied Mathematics
4 Calculus of Variations and Partial Differential Equations
4 Journal of Mathematical Sciences (New York)
4 NoDEA. Nonlinear Differential Equations and Applications
4 Analysis (München)
3 Nonlinearity
3 Acta Mathematica
3 Advances in Mathematics
3 Archiv der Mathematik
3 Rendiconti del Seminario Matematico della Università di Padova
3 Physica D
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Nonlinear Science
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of the Institute of Mathematics of Jussieu
3 Boundary Value Problems
3 Discrete and Continuous Dynamical Systems. Series S
3 Differential Equations and Applications
3 Science China. Mathematics
2 Computers & Mathematics with Applications
2 Journal of Computational Physics
2 Acta Mathematica Vietnamica
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 International Journal of Mathematics and Mathematical Sciences
2 Integral Equations and Operator Theory
2 Journal of the London Mathematical Society. Second Series
2 Ricerche di Matematica
2 Zeitschrift für Analysis und ihre Anwendungen
2 Chinese Annals of Mathematics. Series B
2 Revista Matemática Iberoamericana
2 Journal of the American Mathematical Society
2 Science in China. Series A
2 The Journal of Geometric Analysis
2 Journal of the European Mathematical Society (JEMS)
2 Discrete and Continuous Dynamical Systems. Series B
2 Analysis and Mathematical Physics
2 Afrika Matematika
2 Advances in Nonlinear Analysis
2 Journal of Elliptic and Parabolic Equations
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Engineering Science
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Mathematical Notes
1 Reports on Mathematical Physics
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Optimization
1 Czechoslovak Mathematical Journal
1 Inventiones Mathematicae
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Pacific Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Numerical Analysis
1 Bulletin of the Korean Mathematical Society
...and 49 more Serials

Citations by Year