Rchr
J-GLOBAL ID:200901083285776245   Update date: Sep. 29, 2022

Hoshino Hiroki

Hoshino Hiroki
Affiliation and department:
Research field  (1): Mathematical analysis
Research keywords  (2): partial differential equation ,  nonlinear analysis
Research theme for competitive and other funds  (5):
  • 2006 - 2009 生体現象の数理解析とシミュレーション
  • 2003 - 2006 医学領域の諸現象の数理モデルとその解析
  • 1997 - 1999 反応拡散方程式系の解の構造の解析
  • 1996 - 1997 反応拡散方程式系の大域解の漸近挙動の定量的解析
  • 1993 - 1994 反応拡散方程式系の解の研究
Papers (22):
  • Akisato Kubo, Hiroki Hoshino. Nonlinear evolution equations and their application to chemotaxis models. Analysis, Probability, Applications, and Computation. 2019. 337-347
  • Akisato Kubo, Yuto Miyata, Hidetoshi Kobayashi, Hiroki Hoshino, Naoki Hayashi. Nonlinear evolution equations and its application to a tumour invasion model. Advances in Pure Mathematics. 2016. 6. 12. 878-893
  • Akisato Kubo, Hiroki Hoshino, Katsutaka Kimura. Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to a tumour invasion model. Dynamical Systems, Differential Equations and Applications, AIMS Proceedings. 2015. 733-744
  • Akisato Kubo, Hiroki Hoshino. Nonlinear evolution equations with strong dissipation and proliferation. Trends in Mathematics. 2015. 2. 233-241
  • Hiroki Hoshino. Perturbations of smooth traveling wave solutions to a mathematical model of malignant tumor invasion. Proceedings of Functional Analysis and Applications--Evolution Equations and Control Theory--. 2014. 233-241
more...
Lectures and oral presentations  (35):
  • Traveling wave solutions to a malignant tumor invasion model with diffusion
    (2018)
  • Free boundary problems for wound healing
    (早稲田大学セミナー 2018)
  • Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to a tumour invasion model
    (2018)
  • Traveling waves for a model of malignant tumor invasion and related topics
    (Miniworkshop on Models of Directional Movement and their Analysis 2015)
  • 悪性腫瘍の浸潤に関連する微分方程式系の不連続進行波解の性質
    (岡山理科大学における微分方程式セミナー 2013)
more...
Professional career (1):
  • 博士(理学)
Association Membership(s) (2):
THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS ,  THE MATHEMATICAL SOCIETY OF JAPAN
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