Zobrazeno 1 - 10
of 2 723
pro vyhledávání: '"Junca, A."'
Publikováno v:
SIAM J. Math. Anal., Volume 54, Number 1, Pages 791--817 (2022)
In this article, we consider a class of strictly hyperbolic triangular systems involving a transport equation. Such systems are known to create measure solutions for the initial value problem. Adding a stronger transversality assumption on the fields
Externí odkaz:
http://arxiv.org/abs/2402.16820
Publikováno v:
J Dyn Diff Equat (2022)
A nondispersive, conservative regularisation of the inviscid Burgers equation is proposed and studied. Inspired by a related regularisation of the shallow water system recently introduced by Clamond and Dutykh, the new regularisation provides a famil
Externí odkaz:
http://arxiv.org/abs/2402.15545
Publikováno v:
Methods and Applications of Analysis, Volume 29, Number 3, Pages 295--302 (2022)
We prove in this note the local (in time) well-posedness of a broad class of $2 \times 2$ symmetrisable hyperbolic system involving additional non-local terms. The latest result implies the local well-posedness of the non dispersive regularisation of
Externí odkaz:
http://arxiv.org/abs/2402.15544
Publikováno v:
Nonlinear Anal. Real World Appl., Volume 64, Paper No. 103455 (2022)
Recently, a Hamiltonian regularised shallow water (Saint-Venant) system has been introduced by Clamond and Dutykh. This system is Galilean invariant, linearly non-dispersive and conserves formally an $H^1$-like energy. In this paper, we generalise th
Externí odkaz:
http://arxiv.org/abs/2402.15261
Publikováno v:
Nonlinear Differ. Equ. Appl., Volume 27, Article number 46 (2020)
This paper deals with the optimal regularity for entropy solutions of conservation laws. For this purpose, we use two key ingredients: (a) fine structure of entropy solutions and (b) fractional $BV$ spaces. We show that optimality of the regularizing
Externí odkaz:
http://arxiv.org/abs/2402.15250
Publikováno v:
Communications in Mathematical Sciences, Volume 17, Issue 8, Pages 2223--2238, 2019
This paper studies the smoothing effect for entropy solutions of conservation laws with general nonlinear convex fluxes on $\mathbb{R}$. Beside convexity, no additional regularity is assumed on the flux. Thus, we generalize the well-known $\mathrm{BV
Externí odkaz:
http://arxiv.org/abs/2402.14967
We consider a singular control problem that aims to maximize the expected cumulative rewards, where the instantaneous returns depend on the state of a controlled process. The contributions of this paper are twofold. Firstly, to establish sufficient c
Externí odkaz:
http://arxiv.org/abs/2308.02095
For the Burgers equation, the entropy solution becomes instantly BV with only $L^\infty$ initial data. For conservation laws with genuinely nonlinear discontinuous flux, it is well known that the BV regularity of entropy solutions is lost. Recently,
Externí odkaz:
http://arxiv.org/abs/2307.04834
Autor:
Fonseca, Diego, Junca, Mauricio
This work presents a new Distributionally Robust Optimization approach, using $p$-Wasserstein metrics, to analyze a stochastic program in a general context. The ambiguity set in this approach depends on the decision variable and is represented as a b
Externí odkaz:
http://arxiv.org/abs/2303.03971
Autor:
Dominik Schum, Franziska A. V. Elsen, Stuart Ruddell, Kenji Schorpp, Howard Junca, Mathias Müsken, Shu-Yu Chen, Michaela K. Fiedler, Thomas Pickl, Dietmar H. Pieper, Kamyar Hadian, Martin Zacharias, Stephan A. Sieber
Publikováno v:
JACS Au, Vol 4, Iss 8, Pp 3125-3134 (2024)
Externí odkaz:
https://doaj.org/article/65bd87ac39654709b229c1331699629c
