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1

Uniqueness of solutions to a mathematical model describing moisture transport in concrete materials

Aiki, Toyohiko, Kumazaki, Kota

Journal:

Networks and Heterogeneous Media

Year:

2014

Language:

english

File:

PDF, 411 KB

english, 2014

2

Weak solutions for Falk's model of shape memory alloys

Journal:

Mathematical Methods in the Applied Sciences

Year:

2000

Language:

english

File:

PDF, 154 KB

english, 2000

3

Periodic stability for some degenerate parabolic equations with nonlinear flux conditions

Toyohiko Aiki, Junichi Shinoda, Nobuyuki Kenmochi

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1991

Language:

english

File:

PDF, 1.07 MB

english, 1991

4

Periodic stability of solutions to two-phase stefan problems with nonlinear boundary condition

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1994

Language:

english

File:

PDF, 1.66 MB

english, 1994

5

Phase-field model including a hysteresis operator

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2005

Language:

english

File:

PDF, 169 KB

english, 2005

6

Numerical computation of Lyapunov exponents related to attractors in a free boundary problem

Hitoshi Imai, Toshiki Takeuchi, Shewli Shamim Shanta, Naoyuki Ishimura, Toyohiko Aiki

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2001

File:

PDF, 376 KB

2001

7

Well-posedness of one-phase Stefan problems for sublinear heat equations

Toyohiko Aiki, Hitoshi Imai, Naoyuki Ishimura, Yoshio Yamada

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2002

Language:

english

File:

PDF, 166 KB

english, 2002

8

Global existence of solutions to one-phase Stefan problems for semilinear parabolic equations

Toyohiko Aiki, Hitoshi Imai

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

1998

Language:

english

File:

PDF, 420 KB

english, 1998

9

Behavior of free boundaries of blow-up solutions to one-phase stefan problems

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1996

Language:

english

File:

PDF, 793 KB

english, 1996

10

Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation

Toyohiko Aiki, Hitoshi Imai

Journal:

Czechoslovak Mathematical Journal

Year:

2000

Language:

english

File:

PDF, 570 KB

english, 2000

11

Mathematical model for hysteresis phenomenon in moisture transport of concrete carbonation process

Toyohiko Aiki, Kota Kumazaki

Journal:

Physica B: Condensed Matter

Year:

2012

Language:

english

File:

PDF, 167 KB

english, 2012

12

A Prey-Predator Model with Hysteresis Effect

Aiki, Toyohiko, Minchev, Emil

Journal:

SIAM Journal on Mathematical Analysis

Year:

2005

Language:

english

File:

PDF, 199 KB

english, 2005

13

Large-time asymptotics of moving-reaction interfaces involving nonlinear Henry’s law and time-dependent Dirichlet data

Aiki, Toyohiko, Muntean, Adrian

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2013

Language:

english

File:

PDF, 441 KB

english, 2013

14

Multi-dimensional stefan problems with dynamic boundary conditions

Journal:

Applicable Analysis

Year:

1995

Language:

english

File:

PDF, 674 KB

english, 1995

15

Large-time behavior of a two-scale semilinear reaction-diffusion system for concrete sulfatation

Aiki, Toyohiko, Muntean, Adrian

Journal:

Mathematical Methods in the Applied Sciences

Year:

2015

Language:

english

File:

PDF, 262 KB

english, 2015

16

Analysis of non-equilibrium evolution problems: Selected topics in material and life sciences

Aiki, Toyohiko, Hulshof, Joost, Kenmochi, Noboyuki, Muntean, Adrian

Journal:

Discrete and Continuous Dynamical Systems - Series S

Year:

2013

Language:

english

File:

PDF, 111 KB

english, 2013

17

On a large time behavior of a solution to a one-dimensional free boundary problem for adsorption phenomena

Aiki, Toyohiko, Murase, Yusuke

Journal:

Journal of Mathematical Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 417 KB

english, 2017

18

Homogenization of a thermo-diffusion system with Smoluchowski interactions

Krehel, Oleh, Aiki, Toyohiko, Muntean, Adrian

Journal:

Networks and Heterogeneous Media

Year:

2014

Language:

english

File:

PDF, 547 KB

english, 2014

19

Existence and uniqueness for a concrete carbonation process with hysteresis

Aiki, Toyohiko, Timoshin, Sergey A.

Journal:

Journal of Mathematical Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 387 KB

english, 2017

20

Multiscale model for moisture transport with adsorption phenomenon in concrete materials

Kumazaki, Kota, Aiki, Toyohiko, Sato, Naoki, Murase, Yusuke

Journal:

Applicable Analysis

Year:

2017

Language:

english

File:

PDF, 1.55 MB

english, 2017

21

Large-time behavior of solutions to a thermo-diffusion system with Smoluchowski interactions

Aiki, Toyohiko, Muntean, Adrian

Journal:

Journal of Differential Equations

Year:

2017

Language:

english

File:

PDF, 804 KB

english, 2017

22

Relaxation for a Control Problem in Concrete Carbonation Modeling

Aiki, Toyohiko, Timoshin, Sergey A.

Journal:

SIAM Journal on Control and Optimization

Year:

2017

Language:

english

File:

PDF, 297 KB

english, 2017

23

Two-phase Stefan problems for parabolic-elliptic equations

Journal:

Proceedings of the Japan Academy Series A Mathematical Sciences

Year:

1988

Language:

english

File:

PDF, 361 KB

english, 1988

24

Extreme solutions in control of moisture transport in concrete carbonation

Timoshin, Sergey A., Aiki, Toyohiko

Journal:

Nonlinear Analysis: Real World Applications

Year:

2019

Language:

english

File:

PDF, 690 KB

english, 2019

25

Control of biological models with hysteresis

Timoshin, Sergey A., Aiki, Toyohiko

Journal:

Systems & Control Letters

Year:

2019

Language:

english

File:

PDF, 337 KB

english, 2019

26

A free-boundary problem for concrete carbonation: Front nucleation and rigorous justification of the $\sqrt{{t}}$-law of propagation

Aiki, Toyohiko, Muntean, Adrian

Journal:

Interfaces and Free Boundaries

Year:

2013

Language:

english

File:

PDF, 224 KB

english, 2013

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