Monthly Archives: March 2016



日時: 平成28年4月7日(木) 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: PDE modeling of Biological Transportation Networks
Prof. Peter Markowich
(DAMTP, Centre for Mathematical Sciences, University of Cambridge, UK)
要旨: We present a PDE model for the evolution and adaption of biological transportation networks. The model is based on the  Kirchhoff (conservation) law, Darcy’s law for porous media flows and local network energy minimization.  In particular we discuss qualitative (existence, uniqueness and regularity) and quantitative (this structures and steep local gradients) features  of the solutions.