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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Under the condition of positive initial energy we show that the solution for this problem blows up in finite time.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper we consider a mixed problem for the nonlinear wave equations with transmission acoustic conditions, that is, the wave propagation over bodies consisting of two physically different types of materials, one of which is clamped.
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Temel Bulgular & Veri:We prove the existence of a global solution.
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Sonuç & Katkı:Under the condition of positive initial energy we show that the solution for this problem blows up in finite time.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Nonlinear wave equation · transmission acoustic conditions · locally reacting boundary
Abstract
In this paper we consider a mixed problem for the nonlinear wave equations with transmission acoustic conditions, that is, the wave propagation over bodies consisting of two physically different types of materials, one of which is clamped. We prove the existence of a global solution. Under the condition of positive initial energy we show that the solution for this problem blows up in finite time.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
ALIYEV, A., ISAYEVA, S. (2018). Existence and nonexistence of global solutions for nonlinear transmission acoustic problem. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 3211–3231. https://ajindex.com/articles/227832