平成27年度第3回講演会（日本航空宇宙学会関西支部分科会）
| 日時： | 平成27年5月1日（金） 16:30-17:30 |
| 場所： | 京都大学 桂キャンパスCクラスタ総合研究棟III（C3棟） 3階 b3n03室（航空宇宙工学専攻会議室） |
| 講演： | A numerical study of hyperbolic models for chemotaxis |
| Prof. Magali Ribot (Laboratoire J. A. Dieudonné, Université de Nice-Sophia Antipolis, France) |
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| 要旨： | In this talk, I will consider hyperbolic – parabolic systems for chemotaxis, which are very close to models for self-gravitating systems. I will concentrate here for the space dependency on a bounded interval in the one-dimensional case. I will begin with a simple hyperbolic system, based on the Cattaneo system and I will present in that case a new kind of well-balanced schemes, which show a good accuracy around the stationary solutions. However, we observe unexpected blow-up phenomena of the solutions of the system. Therefore, a second hyperbolic model based on Euler system is analyzed : for this system I will give a complete description of the stationary solutions, I will present some numerical simulations around the stationary solutions and I will make some comparisons with the linked parabolic system. At last, I will describe some applications to the wound healing modeling by casting the first system on networks. |