Exponential attractors for non-autonomous dissipative system
M Efendiev, Y Yamamoto, A Yagi - Journal of the Mathematical …, 2011 - jstage.jst.go.jp
In this paper we will introduce a version of exponential attractor for non-autonomous
equations as a time dependent set with uniformly bounded finite fractal dimension which is …
equations as a time dependent set with uniformly bounded finite fractal dimension which is …
Bifurcation structure of stationary solutions for a chemotaxis system with bistable growth
H Izuhara, K Kuto, T Tsujikawa - Japan Journal of Industrial and Applied …, 2018 - Springer
From the viewpoint of pattern formation, Keller–Segel systems with growth terms are studied.
These models exhibit various stationary and spatio-temporal patterns which are caused by a …
These models exhibit various stationary and spatio-temporal patterns which are caused by a …
[PDF][PDF] Stationary solutions for some shadow system of the Keller–Segel model with logistic growth
T Tsujikawa, K Kuto, Y Miyamoto… - Discrete Contin. Dyn …, 2015 - researchgate.net
From a viewpoint of the pattern formation, the Keller-Segel system with the growth term is
studied. This model exhibited various static and dynamic patterns caused by the …
studied. This model exhibited various static and dynamic patterns caused by the …
[PDF][PDF] Stationary problem of a simple chemotaxis-growth model (Mathematical Analysis of Pattern Formation Arising in Nonlinear Phenomena)
辻川亨 - 数理解析研究所講究録, 2014 - repository.kulib.kyoto-u.ac.jp
Mathematical model for pattern dynamics of aggregating region of biological individuals
possessing the chemotaxis was proposed in [3],[19],[21],[25] as follows: $\{\begin {array}{ll} …
possessing the chemotaxis was proposed in [3],[19],[21],[25] as follows: $\{\begin {array}{ll} …
[PDF][PDF] Asymptotic Convergence of Solutions for
岩崎悟 - 2019 - ir.library.osaka-u.ac.jp
In the natural world, one can see various static or dynamic patterns: animal skins, clouds,
sand dunes, forest trees and so on. They actually take their forms automatically, but how are …
sand dunes, forest trees and so on. They actually take their forms automatically, but how are …
Longtime behavior of solutions to chemotaxis-proliferation model with three variables
DD Hai, A Yagi - Discrete and Continuous Dynamical Systems, 2012 - aimsciences.org
In this paper, we construct a global solution to a mathematical model presented by Murray
[18] and investigate longtime behavior of solution. For any initial profile, the solution is …
[18] and investigate longtime behavior of solution. For any initial profile, the solution is …
走化性・増殖系に現れる六角形パ夕ーン
奥田孝志， 大崎浩一 - 応用数理, 2012 - jstage.jst.go.jp
抄録 The chemotaxis-diffusion growth system in a rectangular domain is studied. We study
the system from a point of view of pattern formation phenomena. The linear analysis tells us …
the system from a point of view of pattern formation phenomena. The linear analysis tells us …
移流効果を伴う反応拡散モデルのパターン形成(< 特集> 移流項をもつ反応拡散系)
辻川亨 - 応用数理, 2009 - jstage.jst.go.jp
抄録 We consider a bistable reaction-diffusion-advection system as a population model
describing the growth of biological individuals which move by diffusion and chemotaxis …
describing the growth of biological individuals which move by diffusion and chemotaxis …
[引用][C] 放物型発展方程式とその応用(下)-解の挙動と自己組織化
八木厚志 - (No Title), 2011 - cir.nii.ac.jp
放物型発展方程式とその応用(下)-解の挙動と自己組織化- | CiNii Research CiNii 国立情報学
研究所 学術情報ナビゲータ[サイニィ] 詳細へ移動 検索フォームへ移動 論文・データをさがす 大学 …
研究所 学術情報ナビゲータ[サイニィ] 詳細へ移動 検索フォームへ移動 論文・データをさがす 大学 …