Zobrazeno 1 - 2
of 2
pro vyhledávání: '"Andres A. Contreras Hip"'
Autor:
Xavier Lamy, Andres A. Contreras Hip
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, 2021, 301, pp.236-265. ⟨10.1016/j.jde.2021.08.020⟩
Journal of Differential Equations, Elsevier, 2021, 301, pp.236-265. ⟨10.1016/j.jde.2021.08.020⟩
Journal of Differential Equations, 2021, 301, pp.236-265. ⟨10.1016/j.jde.2021.08.020⟩
Journal of Differential Equations, Elsevier, 2021, 301, pp.236-265. ⟨10.1016/j.jde.2021.08.020⟩
We prove L 2 stability estimates for entropic shocks among weak, possibly non-entropic, solutions of scalar conservation laws ∂ t u + ∂ x f ( u ) = 0 with strictly convex flux function f. This generalizes previous results by Leger and Vasseur, wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ac0b5f06ca1234431eaf5686e20ec8a
https://doi.org/10.1016/j.jde.2021.08.020
https://doi.org/10.1016/j.jde.2021.08.020
Publikováno v:
Nonlinear Analysis: Theory, Methods and Applications
Nonlinear Analysis: Theory, Methods and Applications, 2022, 219, pp.112804. ⟨10.1016/j.na.2022.112804⟩
Nonlinear Analysis: Theory, Methods and Applications, 2022, 219, pp.112804. ⟨10.1016/j.na.2022.112804⟩
We prove the existence of generalized characteristics for weak, not necessarily entropic, solutions of Burgers' equation \[ \partial_t u +\partial_x \frac{u^2}{2} =0, \] whose entropy productions are signed measures. Such solutions arise in connectio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01bdda90188f64473c34b5cc43062cce
http://arxiv.org/abs/2109.08683
http://arxiv.org/abs/2109.08683
