On the nature of initial-boundary value solutions for dispersive equations

If the initial and boundary data for a partial differential equation (PDE) do not obey an infinite set of compatibility conditions, singularities will arise in its solutions. For dissipative equations, these singularities are well localized in both time and space, and an effective numerical remedy is available for accurate computation of initial transients. This study analyzes the nature of similar corner discrepancies for dispersive equations, such as ut-uxxx= 0 and iut-uxxx= 0.

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Copyright 2003 Society for Industrial and Applied Mathematics Read More: http://epubs.siam.org/doi/abs/10.1137/S0036139902415853
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Author Fornberg, B.
Flyer, Natasha
Publisher UCAR/NCAR - Library
Publication Date 2004-01-01T00:00:00
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Topic Category geoscientificInformation
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Metadata Date 2025-07-17T17:08:47.989259
Metadata Record Identifier edu.ucar.opensky::articles:18393
Metadata Language eng; USA
Suggested Citation Fornberg, B., Flyer, Natasha. (2004). On the nature of initial-boundary value solutions for dispersive equations. UCAR/NCAR - Library. https://n2t.org/ark:/85065/d7r49sc6. Accessed 19 August 2025.

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