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- W2051224007 abstract "We study the large-time behavior of solutions to Burgers' equation with localized initial conditions. Previous studies have demonstrated that these solutions converge to a self-similar asymptotic solution Θ(x, t) with an error whose L p norm is of order t- 1+1/2p . Noting that the temporal and spatial translational invariance of the underlying equations leads to a two-parameter family of self-similar solutions Θ(x -x * , t + t * ), we demonstrate that the optimal choice of x * and t * reduces the L p error to the order of t -2+1/2p ." @default.
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- W2051224007 date "2003-07-01" @default.
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- W2051224007 title "Rates of Convergence to Self-Similar Solutions of Burgers' Equation" @default.
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- W2051224007 doi "https://doi.org/10.1111/1467-9590.t01-2-00226" @default.
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