偏微分方程式セミナー: Motion of the inviscid gas through a nozzle -existence of a time global solution and invariant regions-

開催日時
2013年   7月 8日 16時 30分 ~ 2013年   7月 8日 17時 30分
場所
北海道大学理学部3号館309室
講演者
柘植直樹氏 (岐阜大学 教育学部) 
 
We are concerned with the motion of the gas through
a nozzle. The phenomena are governed by the compressible
Euler equations. First, we review how the
nozzle flow is applied in physics and engineering.
Moreover, we refer to the relation between the nozzle
flow and the solar wind, which is caused by an aurora.
Next, we consider the existence of a time global solution
for the present problem. We survey the relative
results and the main theorem in this talk. Finally, we
study the bounded estimate of solutions, which is the
most difficult point to prove the time global existence.
Then, invariant regions play an important role. In this
talk, to solve our problem, we introduce an invariant
region depending on a space variable.

関連項目

研究集会・セミナー・集中講義の一覧へ