Zobrazeno 1 - 10
of 114
pro vyhledávání: '"KEIMER, ALEXANDER"'
In this contribution, we present a novel approach for solving the obstacle problem for (linear) conservation laws. Usually, given a conservation law with an initial datum, the solution is uniquely determined. How to incorporate obstacles, i.e., inequ
Externí odkaz:
http://arxiv.org/abs/2405.07829
Autor:
Lee, Jonathan W., Wang, Han, Jang, Kathy, Hayat, Amaury, Bunting, Matthew, Alanqary, Arwa, Barbour, William, Fu, Zhe, Gong, Xiaoqian, Gunter, George, Hornstein, Sharon, Kreidieh, Abdul Rahman, Lichtlé, Nathan, Nice, Matthew W., Richardson, William A., Shah, Adit, Vinitsky, Eugene, Wu, Fangyu, Xiang, Shengquan, Almatrudi, Sulaiman, Althukair, Fahd, Bhadani, Rahul, Carpio, Joy, Chekroun, Raphael, Cheng, Eric, Chiri, Maria Teresa, Chou, Fang-Chieh, Delorenzo, Ryan, Gibson, Marsalis, Gloudemans, Derek, Gollakota, Anish, Ji, Junyi, Keimer, Alexander, Khoudari, Nour, Mahmood, Malaika, Mahmood, Mikail, Matin, Hossein Nick Zinat, Mcquade, Sean, Ramadan, Rabie, Urieli, Daniel, Wang, Xia, Wang, Yanbing, Xu, Rita, Yao, Mengsha, You, Yiling, Zachár, Gergely, Zhao, Yibo, Ameli, Mostafa, Baig, Mirza Najamuddin, Bhaskaran, Sarah, Butts, Kenneth, Gowda, Manasi, Janssen, Caroline, Lee, John, Pedersen, Liam, Wagner, Riley, Zhang, Zimo, Zhou, Chang, Work, Daniel B., Seibold, Benjamin, Sprinkle, Jonathan, Piccoli, Benedetto, Monache, Maria Laura Delle, Bayen, Alexandre M.
The CIRCLES project aims to reduce instabilities in traffic flow, which are naturally occurring phenomena due to human driving behavior. These "phantom jams" or "stop-and-go waves,"are a significant source of wasted energy. Toward this goal, the CIRC
Externí odkaz:
http://arxiv.org/abs/2402.17043
Autor:
Keimer, Alexander, Pflug, Lukas
We study the singular limit problem for nonlocal conservation laws in which the sign of the initial datum is unrestricted and the velocity of the conservation law depends on a nonlocal approximation of the absolute value of the density. We demonstrat
Externí odkaz:
http://arxiv.org/abs/2312.12886
Autor:
Keimer, Alexander, Pflug, Lukas
We prove the convergence of solutions of nonlocal conservation laws to their local entropic counterpart for a fundamentally extended class of nonlocal kernels when these kernels approach a Dirac distribution. The nonlocal kernels are assumed to have
Externí odkaz:
http://arxiv.org/abs/2310.09041
We present a convergence result from nonlocal to local behavior for a system of nonlocal balance laws. The velocity field of the underlying conservation laws is diagonal. In contrast, the coupling to the remaining balance laws involves a nonlinear ri
Externí odkaz:
http://arxiv.org/abs/2309.03866
Autor:
Coclite, Giuseppe Maria, Colombo, Maria, Crippa, Gianluca, De Nitti, Nicola, Keimer, Alexander, Marconi, Elio, Pflug, Lukas, Spinolo, Laura V.
We consider a class of nonlocal conservation laws with exponential kernel and prove that quantities involving the nonlocal term $W:=\mathbb{1}_{(-\infty,0]}(\cdot)\exp(\cdot) \ast \rho$ satisfy an Ole\u{\i}nik-type entropy condition. More precisely,
Externí odkaz:
http://arxiv.org/abs/2304.01309
In this work we present a nonlocal conservation law with a velocity depending on an integral term over a part of the space. The model class covers already existing models in literature, but it is also able to describe new dynamics mainly arising in t
Externí odkaz:
http://arxiv.org/abs/2302.12797
Autor:
Keimer, Alexander, Pflug, Lukas
In this contribution we study the singular limit problem of a nonlocal conservation law with a discontinuity in space. The specific choice of the nonlocal kernel involving the spatial discontinuity as well enables it to obtain a maximum principle for
Externí odkaz:
http://arxiv.org/abs/2212.12598
Networks are essential models in many applications such as information technology, chemistry, power systems, transportation, neuroscience, and social sciences. In light of such broad applicability, a general theory of dynamical systems on networks ma
Externí odkaz:
http://arxiv.org/abs/2211.13730
We consider conservation laws with nonlocal velocity and show for nonlocal weights of exponential type that the unique solutions converge in a weak or strong sense (dependent on the regularity of the velocity) to the entropy solution of the local con
Externí odkaz:
http://arxiv.org/abs/2210.12141