セミナー発足に際してのごあいさつ(1997.4)


第 201 回 Q-NA セミナー

日時  : 2007 年 4月 10日(火曜) 15:30 - 17:00

場所  : 九州大学箱崎キャンパス 理学部 3号館 3階 3311 号室

講演者 : [[Pedro Lima>http://www.math.ist.utl.pt/professor.phtml.pt?who=plima]] (Instituto Superior Tecnico, Lisboa, Portugal)

題目  : Numerical and Asymptotic Analysis of Nonlinear Boundary Value Problems with Bubble-type Solutions

講演概要:~
In this talk we are concerned about singular boundary value problems 
arising in hydrodynamics and cosmology. In the case of spherical simmetry, 
the orginal partial differential equation may be reduced to a second 
order ordinary differential equation (ODE). This is the case, for example, 
of the formation of bubbles or droplets in a mixture gas-liquid. 
We are interested on solutions of the resulting ODE which are strictly 
increasing on the positive semi-axis and have finite limits at 0 and 
∞ (bubble-type solutions). Necessary and sufficient conditions for 
the existence of such solutions are obtained in the form of a restriction on 
the equation coefficients. The asymptotic behavior of certain solutions of 
this equation is analysed near the two singularities (when r→0+ and r→∞), 
where the considered boundary conditions define one-parameter families of 
solutions. Based on the analytic study, an efficient numerical method is 
proposed to compute approximately the needed solutions of the above problem. 
Some results of the numerical experiments are displayed and their physical 
interpretation is discussed.


世話人
田上 大助 (九州大学 マス・フォア・インダストリ研究所)
渡部 善隆 (九州大学 情報基盤研究開発センター)

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