爆風方程式の解の存在
書誌事項
- タイトル別名
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- 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 y ≤ y 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 y≤y. The existence of a fixed point in the ball, hence the existence of the solution of the original system for y≤y, follows immediately.
収録刊行物
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- 日本流体力学会誌「ながれ」
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日本流体力学会誌「ながれ」 1 (1), 80-90, 1982
社団法人 日本流体力学会
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キーワード
詳細情報 詳細情報について
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- CRID
- 1390282679672300928
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- NII論文ID
- 130004005356
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- ISSN
- 21854912
- 02863154
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可