# OMATA Lab: Former Ph.D. Students

# Former Ph.D. Students

*Current positions, thesis titles and publications during Ph.D. course*

### 2002.3

**Xiong Xiaohua (Assoc. Prof., Jiangxi Normal University)**

*Life Span of Solution for the Cauchy Problem to Nonlinear Reaction* - Diffusion Systems in Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 9(2002) 105–119.

### 2006.10

**YAMAZAKI, Takashi (Fujitsu Research Lab.)**

*Numerical simulation of a hyperbolic free boundary problem with volume conservation constraint.*

Publications during Ph.D. course

- [1] T.Yamazaki, S.Omata, H.Yoshiuchi, K.Ohara: Bubble Motion on water surface, Gakuto Intern. Ser. Math. Sci. Appl. 23(2005), 209–216.
- [2] T.Yamazaki, S.Omata, K.Svadlenka, K.Ohara: Construction of approximate solution to a hyperbolic free boundary problem with volume constraint and its numerical computation, Adv. Math. Sci. Appl. 16-1(2006), 57–67.

### 2008.3

**YOSHIUCHI, Hidetoshi (Schlumberger)**

*A numerical solution of film vibration with obstacle.*

Publications during Ph.D. course

- [1] H.Yoshiuchi, S.Omata, K.Svadlenka, K.Ohara: Numerical solution of film vibration with obstacle Adv. Math. Sci. Appl. 16-1(2006), 33–43.

### 2008.3

**Karel Svadlenka (Assoc. Prof., Kyoto Univ.)**

*Mathematical snalysis and numerical computation of volume-constrained evolutionary problems.*

Publications during Ph.D. course

- [1] K.Svadlenka, S.Omata: Construction of solutions to heat-type problems with volume constraint via the discrete Morse flow, Funkcialaj Ekvacioj 50(2007), 261–285.
- [2] K.Svadlenka, S.Omata: Construction of weak solution to hyperbolic problem with volume constraint, Nonlinear Analysis 69(2008), 3202–3212.

### 2010.3

**KAZAMA, Masaki (Fujitsu: Supercomputing Unit)**

*Modeling and computation of fluid-membrane interaction*

Publications during Ph.D. course

- [1] M.Kazama, S.Omata, Modeling and computation of fluid-membrane interaction, Nonlinear Analysis 71(2009), e1553–e1559.

### 2010.3

**NAKAGAWA, Hideaki (YKK: Numerical Computing Lab.)**

*Variational approach to evolutionary free boundary problems*

Publications during Ph.D. course

- [1] S.Omata, M.Kazama, H.Nakagawa, Variational approach to evolutionary free boundary problems, Nonlinear Analysis 71(2009), e1547–e1552.

### 2012.9

**Elliott Ginder (Assist. Prof., Hokkaido Univ.: Research Institute of Electronic Science)**

*A variational approach to volume-controlled evolutionary equations*

Publications during Ph.D. course

- [1] E.Ginder, Construction of solutions to heat-type problems with time-dependent volume constraints, Adv. Math. Sci. Appl., 20, 2 (2010), 467–482.
- [2] E. Ginder, S. Omata, K. Svadlenka, A variational method for diffusion-generated area-preserving interface motion, Theoretical and Applied Mechanics Japan, Volume 60 (2011), 265–270.
- [3] E.Ginder, S.Omata, K.Svadlenka, 体積を保存する多相平均曲率流の数値計算, 計算工学講演会論文集 16 (2011).
- [4] E.Ginder, K.Svadlenka, The discrete Morse flow for volume-controlled membrane motions, Adv. Math. Sci. Appl., 22, 1 (2012).

### 2012.9

**Naila Al Mahmuda (Kanazawa University)**

*Development of an index expansion method for portfolio analysis*

Publications during Ph.D. course

- [1] N.-A. Mahmuda, S. Omata, K. Kobayashi,
*A method for portfolio evaluation based on linear expansion and its application to an empirical portfolio*, Sci. Rep. Kanazawa Univ.**56**(2012), 15–34.

### 2012.9

**Chuong Ngoc Duy Hung (Head of Mathematics Division, Soc Trang Normal Univ.)**

*A numerical method for image processing and its applications*

- [1] Ngoc Duy Hung Chuong, K. Nakane, T. Ito, I. Hashimoto,
*Classification of capillary images based on the average curvature estimation*, Sci. Rep. Kanazawa Univ.**56**(2012), 35–44.

### 2013.9

**Nguyen Tri Cong (Vice Rector, Camau Normal Univ.)**

*Study of a constrained hyperbolic free boundary problem involving fluid motion based on variational approach and particle method*

Publications during Ph.D. course

- [1] Nguyen Tri Cong,
*Three-dimensional numerical simulation of the motion of a droplet on an inclined plane*, Sci. Rep. Kanazawa Univ.**57**(2013), 1–12.

### 2015.3

**KIKUTA, Akira (Assist. Prof., Kitami Institute of Technology)**

*Mathematical Analysis of a Ball Bouncing Problem by Using Discrete Morse Flow*

Publications during Ph.D. course

- [1] M. Kazama, S. Omata, T. Nagasawa, A. Kikuta, K. Svadlenka,
*A global model for impact of elastic shells and its numerical implementation*, Adv. Math. Sci. Appl.**23**(2013), 93–108.

### 2015.9

**Faizal Makhrus**

*Comparison of numerical methods for 1-D hyperbolic-type problems with free boundary*

Publications during Ph.D. course

- [1] F. Makhrus, Y. Akagawa, A. Syahrini,
*Numerical methods for 1-D hyperbolic-type problems with free boundary*, Sci. Rep. Kanazawa Univ.**59**(2015), 27–50.