スズキ カナコ鈴木 香奈子准教授Kanako SUZUKI
■研究者基本情報
■研究活動情報
論文
- Stable discontinuous stationary solutions to,reaction-diffusion-ODE systems
Szymon Cygan; Anna Marciniak-Czochra; Grzegorz Karch and Kanako Suzuki
Communications in Partial Differential Equations, 2023年04月10日, ［査読有り］ - Instability of all regular stationary solutions to,reaction-diffusion-ODE systems
Journal of Differential Equations, 2022年08月28日, ［査読有り］ - Dispersive estimates for quantum walks on 1D lattice
Masaya MAEDA; Hironobu SASAKI; Etsuo SEGAWA; Akito SUZUKI; Kanako SUZUKI, Masaya MAEDA, Hironobu SASAKI, Etsuo SEGAWA, Akito SUZUKI, Kanako SUZUKI, Mathematical Society of Japan (Project Euclid)
J. Math. Soc. Japan, 2022年01月27日, ［査読有り］ - Criterion toward understanding non-constant solutions to p-Laplace,Neumann boundary value problem
Kanako Suzuki
Mathematical Journal of Ibaraki University, 2020年11月16日, ［査読有り］ - Dynamics of solitons for nonlinear quantum walks
M. Maeda; H. Sasaki; E. Segawa; A. Suzuki; K. Suzuki, 筆頭著者,Abstract
We present some numerical results for nonlinear quantum walks (NLQWs) studied by the authors analytically (Maedaet al 2018Discrete Contin. Dyn. Syst.
38 3687–3703; Maedaet al 2018Quantum Inf. Process.
17 215). It was shown that if the nonlinearity is weak, then the long time behavior of NLQWs are approximated by linear quantum walks. In this paper, we observe the linear decay of NLQWs for range of nonlinearity wider than studied in (Maedaet al 2018Discrete Contin. Dyn. Syst.
38 3687–3703). In addition, we treat the strong nonlinear regime and show that the solitonic behavior of solutions appears. There are several kinds of soliton solutions and the dynamics becomes complicated. However, we see that there are some special cases so that we can calculate explicit form of solutions. In order to understand the nonlinear dynamics, we systematically study the collision between soliton solutions. We can find a relationship between our model and a nonlinear differential equation., IOP Publishing
Journal of Physics Communications, 2019年07月03日, ［査読有り］ - Scattering and inverse scattering for nonlinear quantum walks
Masaya Maeda; Hironobu Sasaki; Etsuo Segawa; Akito Suzuki; Kanako Suzuki, American Institute of Mathematical Sciences
Discrete and Continuous Dynamical Systems- Series A, 2018年07月01日, ［査読有り］ - Dynamical spike solutions in a nonlocal model of pattern formation
Anna Marciniak-Czochra; Steffen Härting; Grzegorz Karch; Kanako Suzuki, Institute of Physics Publishing
Nonlinearity, 2018年03月27日, ［査読有り］ - Weak limit theorem for a nonlinear quantum walk
Masaya Maeda; Hironobu Sasaki; Etsuo Segawa; Akito Suzuki; Kanako Suzuki, 筆頭著者, 非線形量子ウォークの漸近挙動について考察した。, Springer Science and Business Media LLC
Quantum Information Processing, 2018年, ［査読有り］ - Instability of turing patterns in reaction-diffusion-ODE systems
Anna Marciniak-Czochra; Grzegorz Karch; Kanako Suzuki
JOURNAL OF MATHEMATICAL BIOLOGY, 2017年02月, ［査読有り］ - FINITE-TIME BLOWUP OF SOLUTIONS TO SOME ACTIVATOR-INHIBITOR SYSTEMS
Grzegorz Karch; Kanako Suzuki; Jacek Zienkiewicz
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016年09月, ［査読有り］ - DIFFUSION-DRIVEN BLOWUP OF NONNEGATIVE SOLUTIONS TO REACTION-DIFFUSION-ODE SYSTEMS
Anna Marciniak-Czochra; Grzegorz Karch; Kanako Suzuki; Jacek Zienkiewicz
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2016年07月, ［査読有り］ - Concentration of least-energy solutions to a semilinear Neumann problem in thin domains
Masaya Maeda; Kanako Suzuki
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014年03月, ［査読有り］ - Unstable patterns in reaction-diffusion model of early carcinogenesis
Anna Marciniak-Czochra; Grzegorz Karch; Kanako Suzuki
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2013年05月, ［査読有り］ - Blow-up versus global existence of solutions to aggregation equation with diffusion
Grzegorz Karch; Kanako Suzuki, 筆頭著者
Applicationes Mathematicae, 2011年, ［査読有り］ - On the role of basic production terms in an activator-inhibitor system modeling biological pattern formation
Kanako Suzuki; Izumi Takagi, 筆頭著者
Funkcialaj Ekvaciojm, 2011年, ［査読有り］ - Mechanism generating spatial patterns in reaction-diffusion systems
Kanako Suzuki, GSIS SELECTED LECTURES: Exploring Collaborative Mathematics, The Editorial Committee of the Interdisciplinary Information Sciences
Interdiscip. Inform. Sci., 2011年, ［査読有り］ - Spikes and diffusion waves in one-dimensional model of chemotaxis
Grzegorz Karch; Kanako Suzuki, 筆頭著者
Nonlinearity, 2010年, ［査読有り］ - Collapes of patterns and effect of basic production terms in some reaction-diffusion systems
Kanako Suzuki; Izumi Takagi, 筆頭著者
GAKUTO International Series, Mathematical Sciences and Applications, Current Advances in Nonlinear Analysis and Related Topics, 2010年 - Behavior of solutions an activator-inhibitor system with basic production terms
Kanako Suzuki; Izumi Takagi, 筆頭著者
Proceedings of Czech-Japanese Seminar in Applied Mathematics, COE Lect. Note, Kyushu Univ., 2009年, ［査読有り］ - On the role of source terms in an activator-inhibitor system proposed by Gierer and Meinhardt
Kanako Suzuki; Izumi Takagi, 筆頭著者
Advanced Studies in Pure Mathematics, 2007年, ［査読有り］ - Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion
Wei-Ming, Ni; Kanako Suzuki; Izumi Takagi, 筆頭著者
Advanced Studies in Pure Mathematics, 2007年, ［査読有り］ - The dynamics of a kinetic activator-inhibitor system
Wei-Ming Ni; Kanako Suzuki; Izumi Takagi, 筆頭著者
J. Differential Equations, 2006年, ［査読有り］
講演・口頭発表等
- Stability of stationary solutions to reaction-diffusion-ODE systems
Turing symposium on Morphogenesis, 2024, 2024年02月09日, ［招待有り］ - Instability and diffusion-driven blowup in some reaction-diffusion-ODE systems
Kanako Suzuki
RIMS Workshop "Recent Trend in Ordinary Differential Equations and Their Developments", 2019年11月15日, ［招待有り］ - Spatial patterns of some reaction-diffusion-ODE systems
Kanako Suzuki
Modeling Biological Phenomena by Parabolic PDEs and their Analysis, 2019年06月07日, ［招待有り］ - Reaction-diffusion-ODE systemの定常解の不安定性と解の挙動
北陸応用数理研究会2018, 2018年02月20日, ［招待有り］ - Reaction-diffusion-ODE systemの定常解の安定性とダイナミクス
鈴木香奈子
RIMS共同研究（公開型）「非線形現象と反応拡散方程式」, 2017年10月27日, ［招待有り］ - Unstable patterns and phenomena in some reaction- diffusion-ODE systems
鈴木香奈子
RIMS共同研究（グループ型）「反応拡散方程式と非線形分散型方程式の解の挙動」, 2017年09月27日, ［招待有り］ - Turing不安定性をもつReaction-diffusion-ODE 系のダイナミクスと空間パターン
鈴木 香奈子
拡散成分と非拡散成分が共存する反応拡散系がつくるパターン, 2017年02月12日, ［招待有り］ - Turing不安定性をもつreaction-diffusion-ODE systemの解のダイナミクス
鈴木 香奈子
Turing機構に関連するパターンとダイナミクス, 2015年12月19日, ［招待有り］ - Unbounded solutions to some reaction-diffusion-ODE systems modeling pattern formation
Kanako Suzuki
偏微分方程式の解の形状と諸性質, 2015年11月12日, ［招待有り］ - Reaction-diffusion-ODE system から考えるパターン形成－Turing不安定性とダイナミクス
鈴木 香奈子
生物現象におけるパターン形成と数理, 2015年10月23日, ［招待有り］ - Blowup phenomena in some reaction-diffusion-ODE systems induced by Turing instability
鈴木 香奈子
パターン生成とダイナミクスの解構造の探究, 2015年06月28日, ［招待有り］ - Turing instability and spatial patterns to reaction-diffusion equations modeling biological pattern formation
Kanako Suzuki
Mini-Workshop on Models of Directional Movement and their Analysis, 2015年03月27日 - Instability of spatial patterns and blowup phenomena in a model of pattern formation
Kanako Suzuki
SNP2013 Winter, 2014年02月01日 - Instability and blowup phenomena induced by diffusion in some reaction-diffusion-ODE systems
Kanako Suzuki
RIMS Workshop on Mathematical Analysis of Pattern Formation Arising in Nonlinear Phenomena, 2013年11月11日 - Dynamics of some reaction-diffusion-ODE systems with autocatalysis property
鈴木 香奈子
第3回明治非線型数理セミナー, 2013年11月08日 - Instability and blowup phenomena induced by diffusion in a model of pattern formation
Kanako Suzuki
Workshop on Nonlinear Partial Differential Equations -- Japan-China Joint Project for Young Mathematicians 2013, 2013年10月25日 - 非拡散物質を含む反応拡散系を用いてパターン形成を考える
鈴木 香奈子
2013年日本数学会秋季総合分科会 応用数学分科会, 2013年09月25日, ［招待有り］ - 細い領域における半線形楕円型方程式の解の集中点について
鈴木 香奈子
非線形現象の数値シミュレーションと解析2013, 2013年03月08日 - パターン形成を記述する反応拡散系における拡散の役割を考える
鈴木 香奈子
クロスボーダーセミナー, 2013年01月14日 - Behavior of solutions of some reaction-diffusion equations with autocatalysis property
Kanako Suzuki
Swiss-Japanese Seminar, 2012年12月18日 - Large time behavior of solutions of some reaction-diffusion equations with Turing instability
Kanako Suzuki
Turing Symposium on Morphogenesis---Mathematical Approaches Sxty Years after Alan Turing---, 2012年08月30日 - Stability of patterns in some reaction-diffusion systems with the diffusion-driven instability
Kanako Suzuki
9th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 2012年07月03日 - Pattrens in systems of a single reaction-diffusion eauation coupled with ODE equations
Kanako Suzuki
Second Italian-Japanese Workshop "Geometric Properties for Parabolic and Elliptic PDE's", 2011年06月21日 - Asysmptotic Behaviour of solutions to one-dimensional nonlocal transport equation
Kanako Suzuki
International Winter School Mathematical Analysis of Fluid Mechanics, 2011年02月08日 - Patterns of the shadow system with nontrivial basic production terms
Kanako Suzuki
Concentration and Related Topics on Nonlinear Problems, 2010年11月22日 - Patterns in a reaction-diffusion model of early carcinogenesis
Kanako Suzuki
Mini-Workshop on Modeling, Simulations and Analysis of Biological PAttern Formation, 2010年10月30日 - Steady-state patterns of the shadow system with nontrivial basic production terms
Kanako Suzuki
Partial Differential Equations in Mathematical Biology, 2010年09月13日 - Spikes and siffusion waves in one-dimensional model of chemotaxis
Kanako Suzuki
Nonlocal operators and partial differential equations, 2010年06月29日
共同研究・競争的資金等の研究課題
