English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We study the vanishing viscosity limit of the one-dimensional Burgersequation near nondegenerate shock formation. We develop a matched asymptoticexpansion that describes small-viscosity solutions to arbitrary order up to themoment the first shock forms. The inner part of this expansion has a novelstructure based on a fractional spacetime Taylor series for the inviscidsolution. We obtain sharp vanishing viscosity rates in a variety of norms,including $L^\infty$. Comparable prior results break down in the vicinity ofshock formation. We partially fill this gap.

The inviscid limit of viscous Burgers at nondegenerate shock formation