Communications of the
Korean Mathematical Society
CKMS
ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 1997; 12(2): 467-478
Printed June 1, 1997
Copyright © The Korean Mathematical Society.
A nonlinear galerkin method for the burgers equation
Sungkwon Kang, Yong Hoon Kwon
Chosun University, Pohang University of Science and Technology
A nonlinear Galerkin method for the Burgers equation is considered. Due to the lack of the divergence free condition, the nonlinear term is treated differently compared to that of the Navier-Stokes equations. Strong convergence results are proved for the nonlinear Galerkin method.
Keywords: nonlinear Galerkin method, Burgers equation, convergence
MSC numbers: 65M12
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