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/

Global: Zendy Plus annual

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

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

For the Burgers equation, the entropy solution becomes instantly BV with only$L^\infty$ initial data. For conservation laws with genuinely nonlineardiscontinuous flux, it is well known that the BV regularity of entropysolutions is lost. Recently, this regularity has been proved to be fractionalwith s = 1/2. Moreover, for less nonlinear flux the solution has still afractional regularity 0 < s \leq 1/2. The resulting general rule is theregularity of entropy solutions for a discontinuous flux is less than for asmooth flux. In this paper, an optimal geometric condition on the discontinuousflux is used to recover the same regularity as for the smooth flux with thesame kind of nonlinearity.

Higher regularity for entropy solutions of conservation laws with geometrically constrained discontinuous flux