The Inviscid Limit of Viscous Burgers at Nondegenerate Shock Formation
نویسندگان
چکیده
We study the vanishing viscosity limit of one-dimensional Burgers equation near nondegenerate shock formation. develop a matched asymptotic expansion that describes small-viscosity solutions to arbitrary order up moment first forms. The inner part this has novel structure based on fractional spacetime Taylor series for inviscid solution. obtain sharp rates in variety norms, including $$L^\infty $$ . Comparable prior results break down vicinity partially fill gap.
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ژورنال
عنوان ژورنال: Annals of PDE
سال: 2022
ISSN: ['2524-5317', '2199-2576']
DOI: https://doi.org/10.1007/s40818-022-00143-4