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Aiki, Toyohiko

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Author ID: aiki.toyohiko Recent zbMATH articles by "Aiki, Toyohiko"
Published as: Aiki, T.; Aiki, Toyohiko
Documents Indexed: 84 Publications since 1988, including 3 Books

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 171 times in 88 Documents Cited by Year
A prey-predator model with hysteresis effect. Zbl 1086.35154
Aiki, Toyohiko; Minchev, Emil
12
2005
A free-boundary problem for concrete carbonation: front nucleation and rigorous justification of the \(\sqrt{{t}}\)-law of propagation. Zbl 1276.35127
Aiki, Toyohiko; Muntean, Adrian
10
2013
Well-posedness of a mathematical model for moisture transport appearing in concrete carbonation process. Zbl 1282.35186
Aiki, Toyohiko; Kumazaki, Kota
10
2011
Large time behavior of solutions to a moving-interface problem modeling concrete carbonation. Zbl 1202.35362
Aiki, Toyohiko; Muntean, Adrian
10
2010
Homogenization of a thermo-diffusion system with Smoluchowski interactions. Zbl 1307.35030
Krehel, Oleh; Aiki, Toyohiko; Muntean, Adrian
8
2014
Behavior of free boundaries of blow-up solutions to one-phase Stefan problems. Zbl 0859.35141
Aiki, Toyohiko
8
1996
Multi-dimensional Stefan problems with dynamic boundary conditions. Zbl 0833.35153
Aiki, Toyohiko
8
1995
Existence and uniqueness of solutions to a mathematical model predicting service life of concrete structures. Zbl 1181.35344
Aiki, Toyohiko; Muntean, Adrian
7
2009
A mathematical model for bacterial growth described by a hysteresis operator. Zbl 1343.35131
Aiki, Toyohiko; Kopfová, Jana
7
2008
One-dimensional shape memory alloy problems including a hysteresis operator. Zbl 1305.74070
Aiki, Toyohiko
6
2003
Uniqueness of solutions to a mathematical model describing moisture transport in concrete materials. Zbl 1302.74073
Aiki, Toyohiko; Kumazaki, Kota
5
2014
A one dimensional free boundary problem for adsorption phenomena. Zbl 1310.35246
Sato, Naoki; Aiki, Toyohiko; Murase, Yusuke; Shirakawa, Ken
4
2014
Large-time asymptotics of moving-reaction interfaces involving nonlinear Henry’s law and time-dependent Dirichlet data. Zbl 1282.35418
Aiki, Toyohiko; Muntean, Adrian
4
2013
A model of 3D shape memory alloy materials. Zbl 1076.74041
Aiki, Toyohiko
4
2005
Well-posedness of one-phase Stefan problems for sublinear heat equations. Zbl 1010.35118
Aiki, Toyohiko; Imai, Hitoshi; Ishimura, Naoyuki; Yamada, Yoshio
4
2002
Global existence of solutions to one-phase Stefan problems for semilinear parabolic equations. Zbl 0954.35154
Aiki, Toyohiko; Imai, Hitoshi
4
1998
Periodic stability of solutions to some degenerate parabolic equations with dynamic boundary conditions. Zbl 0846.35013
Aiki, Toyohiko
4
1996
Two-phase Stefan problems with dynamic boundary conditions. Zbl 0783.35083
Aiki, Toyohiko
4
1993
Behavior of solutions to two-phase Stefan problems for nonlinear parabolic equations. Zbl 0761.35112
Aiki, Toyohiko; Kenmochi, Nobuyuki
4
1991
Distributed space scales in a semilinear reaction-diffusion system including a parabolic variational inequality: A well-posedness study. Zbl 1427.35119
Fatima, Tasnim; Muntean, Adrian; Aiki, Toyohiko
3
2012
On uniqueness of a weak solution of one-dimensional concrete carbonation problem. Zbl 1210.35296
Aiki, Toyohiko; Muntean, Adrian
3
2011
Phase field equations with constraints under nonlinear dynamic boundary conditions. Zbl 1084.35521
Sato, Naoki; Aiki, Toyohiko
3
2001
Some models for shape memory alloys. Zbl 1036.74042
Aiki, Toyohiko; Kenmochi, Nobuyuki
3
2001
Blow-up points to one phase Stefan problems with Dirichlet boundary conditions. Zbl 0881.35128
Aiki, Toyohiko
3
1996
Behaviour of blow-up solutions to one-phase Stefan problems with Dirichlet boundary conditions. Zbl 0864.35122
Aiki, T.; Imai, H.
3
1996
Multi-dimensional two-phase Stefan problems with nonlinear dynamic boundary conditions. Zbl 0868.35061
Aiki, Toyohiko
3
1995
The existence of solutions of two-phase Stefan problems for nonlinear parabolic equations. Zbl 0754.35189
Aiki, Toyohiko
3
1990
Multiscale model for moisture transport with adsorption phenomenon in concrete materials. Zbl 1390.35430
Kumazaki, Kota; Aiki, Toyohiko; Sato, Naoki; Murase, Yusuke
2
2018
Relaxation for a control problem in concrete carbonation modeling. Zbl 1378.49005
Aiki, Toyohiko; Timoshin, Sergey A.
2
2017
Existence and uniqueness for a concrete carbonation process with hysteresis. Zbl 1366.35069
Aiki, Toyohiko; Timoshin, Sergey A.
2
2017
On a large time behavior of a solution to a one-dimensional free boundary problem for adsorption phenomena. Zbl 1386.35484
Aiki, Toyohiko; Murase, Yusuke
2
2017
Weak solutions for Falk’s model of shape memory alloys. Zbl 0989.74053
Aiki, Toyohiko
2
2000
Periodic stability for some degenerate parabolic equations with nonlinear flux conditions. Zbl 0762.35051
Aiki, Toyohiko; Shinoda, Junichi; Kenmochi, Nobuyuki
2
1991
Control of biological models with hysteresis. Zbl 1425.92164
Timoshin, Sergey A.; Aiki, Toyohiko
1
2019
Large-time behavior of solutions to a thermo-diffusion system with Smoluchowski interactions. Zbl 1378.35303
Aiki, Toyohiko; Muntean, Adrian
1
2017
On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit. Zbl 1243.74017
Aiki, Toyohiko; Anthonissen, Martijn; Muntean, Adrian
1
2012
One-dimensional shape memory alloy problem with Duhem type of hysteresis operator. Zbl 1111.74033
Aiki, Toyohiko; Okazaki, Takanobu
1
2007
Mathematical models for phase change problems with hysteresis effect. Zbl 1224.35440
Aiki, T.; Minchev, E.; Okazaki, T.
1
2005
One-phase Stefan problems for sublinear heat equations: asymptotic behavior of solutions. Zbl 1091.35117
Aiki, Toyohiko; Imai, Hitoshi; Ishimura, Naoyuki; Yamada, Yoshio
1
2004
Models for shape memory alloys described by subdifferentials of indicator functions. Zbl 1028.35172
Aiki, Toyohiko; Kenmochi, Nobuyuki
1
2002
Phase field equations with constraints under nonlinear dynamic boundary conditions. Zbl 1374.35215
Sato, Naoki; Aiki, Toyohiko
1
2001
Optimal control problem for phase-field equations with nonlinear dynamic boundary conditions. Zbl 1042.49530
Aiki, Toyohiko; Kadoya, Atsushi; Sato, Naoki
1
2001
Stefan problems in several space variables with dynamic boundary conditions. Zbl 0846.35149
Aiki, Toyohiko
1
1996
Periodic stability of solutions to two-phase Stefan problems with nonlinear boundary condition. Zbl 0813.35138
Aiki, Toyohiko
1
1994
Two-phase Stefan problems for parabolic-elliptic equations. Zbl 0701.35158
Aiki, Toyohiko
1
1988
Control of biological models with hysteresis. Zbl 1425.92164
Timoshin, Sergey A.; Aiki, Toyohiko
1
2019
Multiscale model for moisture transport with adsorption phenomenon in concrete materials. Zbl 1390.35430
Kumazaki, Kota; Aiki, Toyohiko; Sato, Naoki; Murase, Yusuke
2
2018
Relaxation for a control problem in concrete carbonation modeling. Zbl 1378.49005
Aiki, Toyohiko; Timoshin, Sergey A.
2
2017
Existence and uniqueness for a concrete carbonation process with hysteresis. Zbl 1366.35069
Aiki, Toyohiko; Timoshin, Sergey A.
2
2017
On a large time behavior of a solution to a one-dimensional free boundary problem for adsorption phenomena. Zbl 1386.35484
Aiki, Toyohiko; Murase, Yusuke
2
2017
Large-time behavior of solutions to a thermo-diffusion system with Smoluchowski interactions. Zbl 1378.35303
Aiki, Toyohiko; Muntean, Adrian
1
2017
Homogenization of a thermo-diffusion system with Smoluchowski interactions. Zbl 1307.35030
Krehel, Oleh; Aiki, Toyohiko; Muntean, Adrian
8
2014
Uniqueness of solutions to a mathematical model describing moisture transport in concrete materials. Zbl 1302.74073
Aiki, Toyohiko; Kumazaki, Kota
5
2014
A one dimensional free boundary problem for adsorption phenomena. Zbl 1310.35246
Sato, Naoki; Aiki, Toyohiko; Murase, Yusuke; Shirakawa, Ken
4
2014
A free-boundary problem for concrete carbonation: front nucleation and rigorous justification of the \(\sqrt{{t}}\)-law of propagation. Zbl 1276.35127
Aiki, Toyohiko; Muntean, Adrian
10
2013
Large-time asymptotics of moving-reaction interfaces involving nonlinear Henry’s law and time-dependent Dirichlet data. Zbl 1282.35418
Aiki, Toyohiko; Muntean, Adrian
4
2013
Distributed space scales in a semilinear reaction-diffusion system including a parabolic variational inequality: A well-posedness study. Zbl 1427.35119
Fatima, Tasnim; Muntean, Adrian; Aiki, Toyohiko
3
2012
On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit. Zbl 1243.74017
Aiki, Toyohiko; Anthonissen, Martijn; Muntean, Adrian
1
2012
Well-posedness of a mathematical model for moisture transport appearing in concrete carbonation process. Zbl 1282.35186
Aiki, Toyohiko; Kumazaki, Kota
10
2011
On uniqueness of a weak solution of one-dimensional concrete carbonation problem. Zbl 1210.35296
Aiki, Toyohiko; Muntean, Adrian
3
2011
Large time behavior of solutions to a moving-interface problem modeling concrete carbonation. Zbl 1202.35362
Aiki, Toyohiko; Muntean, Adrian
10
2010
Existence and uniqueness of solutions to a mathematical model predicting service life of concrete structures. Zbl 1181.35344
Aiki, Toyohiko; Muntean, Adrian
7
2009
A mathematical model for bacterial growth described by a hysteresis operator. Zbl 1343.35131
Aiki, Toyohiko; Kopfová, Jana
7
2008
One-dimensional shape memory alloy problem with Duhem type of hysteresis operator. Zbl 1111.74033
Aiki, Toyohiko; Okazaki, Takanobu
1
2007
A prey-predator model with hysteresis effect. Zbl 1086.35154
Aiki, Toyohiko; Minchev, Emil
12
2005
A model of 3D shape memory alloy materials. Zbl 1076.74041
Aiki, Toyohiko
4
2005
Mathematical models for phase change problems with hysteresis effect. Zbl 1224.35440
Aiki, T.; Minchev, E.; Okazaki, T.
1
2005
One-phase Stefan problems for sublinear heat equations: asymptotic behavior of solutions. Zbl 1091.35117
Aiki, Toyohiko; Imai, Hitoshi; Ishimura, Naoyuki; Yamada, Yoshio
1
2004
One-dimensional shape memory alloy problems including a hysteresis operator. Zbl 1305.74070
Aiki, Toyohiko
6
2003
Well-posedness of one-phase Stefan problems for sublinear heat equations. Zbl 1010.35118
Aiki, Toyohiko; Imai, Hitoshi; Ishimura, Naoyuki; Yamada, Yoshio
4
2002
Models for shape memory alloys described by subdifferentials of indicator functions. Zbl 1028.35172
Aiki, Toyohiko; Kenmochi, Nobuyuki
1
2002
Phase field equations with constraints under nonlinear dynamic boundary conditions. Zbl 1084.35521
Sato, Naoki; Aiki, Toyohiko
3
2001
Some models for shape memory alloys. Zbl 1036.74042
Aiki, Toyohiko; Kenmochi, Nobuyuki
3
2001
Phase field equations with constraints under nonlinear dynamic boundary conditions. Zbl 1374.35215
Sato, Naoki; Aiki, Toyohiko
1
2001
Optimal control problem for phase-field equations with nonlinear dynamic boundary conditions. Zbl 1042.49530
Aiki, Toyohiko; Kadoya, Atsushi; Sato, Naoki
1
2001
Weak solutions for Falk’s model of shape memory alloys. Zbl 0989.74053
Aiki, Toyohiko
2
2000
Global existence of solutions to one-phase Stefan problems for semilinear parabolic equations. Zbl 0954.35154
Aiki, Toyohiko; Imai, Hitoshi
4
1998
Behavior of free boundaries of blow-up solutions to one-phase Stefan problems. Zbl 0859.35141
Aiki, Toyohiko
8
1996
Periodic stability of solutions to some degenerate parabolic equations with dynamic boundary conditions. Zbl 0846.35013
Aiki, Toyohiko
4
1996
Blow-up points to one phase Stefan problems with Dirichlet boundary conditions. Zbl 0881.35128
Aiki, Toyohiko
3
1996
Behaviour of blow-up solutions to one-phase Stefan problems with Dirichlet boundary conditions. Zbl 0864.35122
Aiki, T.; Imai, H.
3
1996
Stefan problems in several space variables with dynamic boundary conditions. Zbl 0846.35149
Aiki, Toyohiko
1
1996
Multi-dimensional Stefan problems with dynamic boundary conditions. Zbl 0833.35153
Aiki, Toyohiko
8
1995
Multi-dimensional two-phase Stefan problems with nonlinear dynamic boundary conditions. Zbl 0868.35061
Aiki, Toyohiko
3
1995
Periodic stability of solutions to two-phase Stefan problems with nonlinear boundary condition. Zbl 0813.35138
Aiki, Toyohiko
1
1994
Two-phase Stefan problems with dynamic boundary conditions. Zbl 0783.35083
Aiki, Toyohiko
4
1993
Behavior of solutions to two-phase Stefan problems for nonlinear parabolic equations. Zbl 0761.35112
Aiki, Toyohiko; Kenmochi, Nobuyuki
4
1991
Periodic stability for some degenerate parabolic equations with nonlinear flux conditions. Zbl 0762.35051
Aiki, Toyohiko; Shinoda, Junichi; Kenmochi, Nobuyuki
2
1991
The existence of solutions of two-phase Stefan problems for nonlinear parabolic equations. Zbl 0754.35189
Aiki, Toyohiko
3
1990
Two-phase Stefan problems for parabolic-elliptic equations. Zbl 0701.35158
Aiki, Toyohiko
1
1988
all top 5

Cited by 111 Authors

20 Aiki, Toyohiko
8 Muntean, Adrian
6 Fukao, Takeshi
6 Timoshin, Sergey A.
5 Kumazaki, Kota
4 Colli, Pierluigi
4 Imai, Hitoshi
4 Minchev, Emil
4 Stefanelli, Ulisse
3 Chainais-Hillairet, Claire
3 Gal, Ciprian Gheorghe Sorin
3 Krejčí, Pavel
3 Murase, Yusuke
3 Nikolopoulos, Christos V.
3 Sato, Naoki
3 Shirakawa, Ken
3 Wang, Yifu
3 Zheng, Jiashan
2 Beneš, Michal
2 Grasselli, Maurizio
2 Igbida, Noureddine
2 Ishimura, Naoyuki
2 Kajikiya, Ryuji
2 Khoa, Vo Anh
2 Miranville, Alain M.
2 Roubíček, Tomáš
1 Akagi, Goro
1 Alqahtani, Awatif
1 Ambrosio, Vincenzo
1 Andreu, Fuensanta
1 Bataillon, Christian
1 Böhm, Michael C.
1 Bouchon, François
1 Cavaterra, Cecilia
1 Chen, Xiaoshan
1 Chen, Yingshan
1 Cirillo, Emilio Nicola Maria
1 Colangeli, Matteo
1 Company, Rafael
1 Darbenas, Zymantas
1 Desvillettes, Laurent
1 Eleuteri, Michela
1 Fuhrmann, Jürgen
1 Gallouët, Thomas O.
1 Gavrilov, Vladimir S.
1 Ghidouche, Hamid
1 Giga, Yoshikazu
1 Grandi, Diego
1 Gurevich, Pavel L.
1 Hassan Farshbaf-Shaker, M.
1 Hoarau, E.
1 Ijioma, Ekeoma Rowland
1 Jiménez-Casas, Angela
1 Jleli, Mohamed
1 Jódar Sanchez, Lucas Antonio
1 Jüngel, Ansgar
1 Ke, Yuanyuan
1 Kenmochi, Nobuyuki
1 Kikuchi, Koji
1 Kirane, Mokhtar
1 Kopfová, Jana
1 Krupička, Lukáš
1 Li, Huiling
1 Lin, Zhigui
1 Ling, Zhi
1 Lorenzani, Silvia
1 Lu, Xueyan
1 Lussardi, Luca
1 Mazón Ruiz, José M.
1 Merlet, Benoît
1 Motoda, Taishi
1 Nakane, Kazuaki
1 Nakayashiki, Ryota
1 Okazaki, Takanobu
1 Oliver, Marcel
1 Omata, Seiro
1 Ôtani, Mitsuharu
1 Pažanin, Igor
1 Piqueras, Miguel A.
1 Ptashnyk, Mariya
1 Reichelt, Sina
1 Rodríguez-Bernal, Aníbal
1 Rybka, Piotr
1 Sacks, Paul E.
1 Samet, Bessem
1 Soltanov, Kamal N.
1 Souplet, Philippe
1 Sun, Ningkui
1 Suzuki, Takashi
1 Tachikawa, Tomomi
1 Tang, Qiulin
1 Tarzia, Domingo Alberto
1 Tasaki, Souhei
1 Thieu, Thi Kim Thoa
1 Tikhomirov, Sergey B.
1 Toledo, J. Julián
1 Tolstonogov, Aleksandr Aleksandrovich
1 Tomassetti, Giuseppe
1 Touzani, Rachid
1 Vermolen, Fred J.
...and 11 more Authors
all top 5

Cited in 44 Serials

11 Journal of Mathematical Analysis and Applications
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Journal of Differential Equations
5 Nonlinear Analysis. Real World Applications
3 Mathematical Methods in the Applied Sciences
3 Networks and Heterogeneous Media
3 Discrete and Continuous Dynamical Systems. Series S
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Computational and Applied Mathematics
2 SIAM Journal on Control and Optimization
2 Continuum Mechanics and Thermodynamics
2 Discrete and Continuous Dynamical Systems. Series B
2 Communications on Pure and Applied Analysis
2 Multiscale Modeling & Simulation
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
2 Nonlinear Analysis. Theory, Methods & Applications
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Rocky Mountain Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Czechoslovak Mathematical Journal
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Systems & Control Letters
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Asymptotic Analysis
1 Japan Journal of Industrial and Applied Mathematics
1 SIAM Journal on Applied Mathematics
1 Journal of Nonlinear Science
1 Applied Mathematics. Series B (English Edition)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Sbornik: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Mathematics and Mechanics of Solids
1 Communications in Contemporary Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Asia-Pacific Financial Markets
1 Evolution Equations and Control Theory
1 Journal of Elliptic and Parabolic Equations

Citations by Year