Operator splitting for the Benjamin-Ono equation

26 Apr 2016  ·  Dutta R., Holden H., Koley U., Risebro N. H. ·

In this paper we analyze operator splitting for the Benjamin-Ono equation, u_t = uu_x + Hu_xx, where H denotes the Hilbert transform. If the initial data are sufficiently regular, we show the convergence of both Godunov and Strang splitting...

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Analysis of PDEs