Sung-Kwon Kang, Yonghoon Kwon
Abstract
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.
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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.
Key concepts: Mathematics, Galerkin method, Burgers' equation, Nonlinear system, Divergence (linguistics), Mathematical analysis, Convergence (economics), Applied mathematics