التفاصيل البيبلوغرافية
| العنوان: |
Formation of δ-shock waves in isentropic fluids. |
| المؤلفون: |
Paiva, Adelino |
| المصدر: |
Zeitschrift für Angewandte Mathematik und Physik (ZAMP); Aug2020, Vol. 71 Issue 4, p1-12, 12p |
| مصطلحات موضوعية: |
WAVES (Fluid mechanics), RIEMANN-Hilbert problems, EULER-Bernoulli beam theory, SHOCK waves, EULER equations |
| مصطلحات جغرافية: |
DELTA State (Nigeria) |
| مستخلص: |
This paper studies a Riemann problem for the isentropic Euler equations and addresses two gaps in the literature concerning positive pressures. Such study is made using a product of distributions and a solution concept that extends the classical solution concept. Under certain conditions, even for positive pressures, it is shown that the Riemann problem has solutions, which are δ -shock waves. As particular cases, this work examines polytropic gases, pressureless gases, and Chaplygin gases. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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