Operator splitting for the Benjamin-Ono equation
classification
🧮 math.AP
keywords
splittingbenjamin-onoequationoperatoranalyzeconvergencedatadenotes
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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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