Periodic entropy solutions to impulsive conservation laws Full article
| Journal |
Journal of Elliptic and Parabolic Equations
ISSN: 2296-9020 |
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| Output data | Year: 2026, Pages: 1-14 Pages count : 14 DOI: 10.1007/s41808-026-00510-3 | ||||
| Tags | Conservation laws, Impulsive partial differential equation, Initial layer, Entropy solution | ||||
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Abstract:
In the present paper, we study a conservation law with periodic boundary conditions and an impulsive source term, which contains an approximation ϕε(t) of the Dirac delta function δ(t=0). Along with suppϕε =[0,ε], the scaling mapping t = t ε :[0,ε] → [0, 1] leads to a new problem on the infinitesimal initial layer. In the limit as ε → 0, this new problem enables us to obtain new initial data.
Cite:
Kuznetsov I.
Periodic entropy solutions to impulsive conservation laws
Journal of Elliptic and Parabolic Equations. 2026. P.1-14. DOI: 10.1007/s41808-026-00510-3 WOS Scopus OpenAlex
Periodic entropy solutions to impulsive conservation laws
Journal of Elliptic and Parabolic Equations. 2026. P.1-14. DOI: 10.1007/s41808-026-00510-3 WOS Scopus OpenAlex
Dates:
| Submitted: | Feb 4, 2026 |
| Accepted: | Aug 2, 2026 |
| Published online: | Aug 21, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001854989100001 |
| ≡ Scopus: | 2-s2.0-105047930734 |
| ≡ OpenAlex: | W7203876330 |