爆風方程式の解の存在

DOI

書誌事項

タイトル別名
  • On the Existence of a Solution of Point Source Blast Wave Equation

抄録

It is noted that the use of blast effects in actual engineering applications requires an accurate prediction. The existence of a solution of the basic point-source blast wave equation is considered in this connection. Among many existing approximate solutions, a particular attention is paid to the solution in the form of power series expansion in y, where y=C2/U2, U is the front shock speed and C the sound velocity. It is proved that the above series expansion, in fact, converges for yy for a certain small y, and is a solution of the system of equations obtained by the blast wave transformation of the original equations of motion for the point-source blast wave.<BR>Acutual process of the proof is in the following manner : First, a Banach space is introduced, which consists of functions expressed in the form of convergent series expansion in y. Next, the above system of equations is converted into the one which determines a fixed point of a mapping in this space. The mapping is then shown to have the property of contraction in closed ball in the space if yy. The existence of a fixed point in the ball, hence the existence of the solution of the original system for yy, follows immediately.

収録刊行物

キーワード

詳細情報 詳細情報について

  • CRID
    1390282679672300928
  • NII論文ID
    130004005356
  • DOI
    10.11426/nagare1982.1.80
  • ISSN
    21854912
    02863154
  • 本文言語コード
    ja
  • データソース種別
    • JaLC
    • CiNii Articles
  • 抄録ライセンスフラグ
    使用不可

問題の指摘

ページトップへ