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Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves

✍ Scribed by Liu, Tai-Ping; Matsumura, Akitaka; Nishihara, Kenji


Book ID
118200190
Publisher
Society for Industrial and Applied Mathematics
Year
1998
Tongue
English
Weight
815 KB
Volume
29
Category
Article
ISSN
0036-1410

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In this paper, we discuss the long-time behavior of positive solutions of Burgers' equation \(u\_{t}=u\_{x x}+\varepsilon u u\_{x}, 00, t>0\) with the nonlocal boundary condition: \(u(0, t)=0, \quad u\_{x}(1, t)+\frac{1}{2} \varepsilon u^{2}(1, t)=a u^{p}(1, t)\left(\int\_{0}^{1} u(x, t) d x\right)^

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