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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2013 / Cilt: 62 - Sayı: 2

THE QUENCHING BEHAVIOR OF A PARABOLIC SYSTEM

Burhan SELCUK
Pages
29–36
Publication Date
2013-08-01
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

Further,we show that quenching occurs on the boundary under certain conditions.Furthermore, we show that the time derivative blows up at quenching time.Finally, we get a quenching criterion by using a comparison lemma and we also get a quenching rate

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the quenching behavior of solution of aparabolic system.
📊
Key Findings & Data:We prove finite-time quenching for the solution.
💡
Conclusion & Impact:Further,we show that quenching occurs on the boundary under certain conditions.Furthermore, we show that the time derivative blows up at quenching time.Finally, we get a quenching criterion by using a comparison lemma and we also get a quenching rate
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Parabolic system · boundary condition · quenching

Abstract

In this paper, we study the quenching behavior of solution of aparabolic system. We prove finite-time quenching for the solution. Further,we show that quenching occurs on the boundary under certain conditions.Furthermore, we show that the time derivative blows up at quenching time.Finally, we get a quenching criterion by using a comparison lemma and we also get a quenching rate

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Cite This Article

SELCUK, B. (2013). THE QUENCHING BEHAVIOR OF A PARABOLIC SYSTEM. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 62 - Sayı: 2, 29–36. https://ajindex.com/articles/747395

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