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Volume 23, Issue 2
On the Decay Property of Solutions of Viscous Burgers Equation with Boundary Feedback

Chaohua Jia

DOI: 10.4208/jpde.v23.n2.5

J. Part. Diff. Eq., 23 (2010), pp. 194-202.

Published online: 2010-05

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  • Abstract

In this article, we will investigate the viscous Burgers equation with boundary feedback. The existence of the solution is proved by constructing a convergence sequence inductively. Moreover, the decay property of the solution is shown based on the maximum principle for nonlinear parabolic equations.

  • Keywords

Burgers equation nonlocal boundary maximum principle

  • AMS Subject Headings

93B52 93C20 35B37

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-23-194, author = {Chaohua Jia }, title = {On the Decay Property of Solutions of Viscous Burgers Equation with Boundary Feedback}, journal = {Journal of Partial Differential Equations}, year = {2010}, volume = {23}, number = {2}, pages = {194--202}, abstract = {

In this article, we will investigate the viscous Burgers equation with boundary feedback. The existence of the solution is proved by constructing a convergence sequence inductively. Moreover, the decay property of the solution is shown based on the maximum principle for nonlinear parabolic equations.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v23.n2.5}, url = {http://global-sci.org/intro/article_detail/jpde/5228.html} }
TY - JOUR T1 - On the Decay Property of Solutions of Viscous Burgers Equation with Boundary Feedback AU - Chaohua Jia JO - Journal of Partial Differential Equations VL - 2 SP - 194 EP - 202 PY - 2010 DA - 2010/05 SN - 23 DO - http://doi.org/10.4208/jpde.v23.n2.5 UR - https://global-sci.org/intro/article_detail/jpde/5228.html KW - Burgers equation KW - nonlocal boundary KW - maximum principle AB -

In this article, we will investigate the viscous Burgers equation with boundary feedback. The existence of the solution is proved by constructing a convergence sequence inductively. Moreover, the decay property of the solution is shown based on the maximum principle for nonlinear parabolic equations.

Chaohua Jia . (2010). On the Decay Property of Solutions of Viscous Burgers Equation with Boundary Feedback. Journal of Partial Differential Equations. 23 (2). 194-202. doi:10.4208/jpde.v23.n2.5
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