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pro vyhledávání: '"Holle, Yannick"'
Consider a balance law where the flux depends explicitly on the space variable. At jump discontinuities, modeling considerations may impose the defect in the conservation of some quantities, thus leading to non conservative products. Below, we deduce
Externí odkaz:
http://arxiv.org/abs/2304.00587
Autor:
Holle, Yannick
A maximum entropy dissipation problem at a traffic junction and the corresponding coupling condition are studied. We prove that this problem is equivalent to a coupling condition introduced by Holden and Risebro. An $L^1$-contraction property of the
Externí odkaz:
http://arxiv.org/abs/2105.15003
We introduce new coupling conditions for isentropic flow on networks based on an artificial density at the junction. The new coupling conditions can be derived from a kinetic model by imposing a condition on energy dissipation. Existence and uniquene
Externí odkaz:
http://arxiv.org/abs/2004.09184
Autor:
Holle, Yannick
We are interested in existence of gradient flows for shape functionals especially for first Laplacian eigenvalues. We introduce different techniques to prove existence and use different formulations for gradient flows. We apply a compactness argument
Externí odkaz:
http://arxiv.org/abs/2003.01671
Autor:
Holle, Yannick
Publikováno v:
J. Differ. Equations. 269 (2020) 1192-1225
We consider networks for isentropic gas and prove existence of weak solutions for a large class of coupling conditions. First, we construct approximate solutions by a vector-valued BGK model with a kinetic coupling function. Introducing so-called kin
Externí odkaz:
http://arxiv.org/abs/1908.03110
Publikováno v:
In Nonlinear Analysis: Real World Applications August 2022 66
Autor:
Holle, Yannick
Publikováno v:
In Journal of Differential Equations 5 July 2020 269(2):1192-1225
Autor:
Holle, Yannick
Publikováno v:
Aachen 1 Online-Ressource (VIII, 122 Seiten) : Illustrationen, Diagramme (2020). doi:10.18154/RWTH-2020-12242 = Dissertation, RWTH Aachen University, 2020
Dissertation, RWTH Aachen University, 2020; Aachen 1 Online-Ressource (VIII, 122 Seiten) : Illustrationen, Diagramme (2020). = Dissertation, RWTH Aachen University, 2020
In the last two decades, the simulation of gas dynamics on networks became
In the last two decades, the simulation of gas dynamics on networks became
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89c449fd29e93b80e510da3fba249f66
Autor:
HOLLE, YANNICK
Publikováno v:
SIAM Journal on Mathematical Analysis; 2022, Vol. 54 Issue 1, p954-985, 32p