Zobrazeno 1 - 10
of 629
pro vyhledávání: '"Lorenţ, A."'
We study differential inclusions $Du\in \Pi$ in an open set $\Omega\subset\mathbb R^2$, where $\Pi\subset \mathbb R^{2\times 2}$ is a compact connected $C^2$ curve without rank-one connections, but non-elliptic: tangent lines to $\Pi$ may have rank-o
Externí odkaz:
http://arxiv.org/abs/2404.02121
For any compact connected one-dimensional submanifold $K\subset \mathbb R^{2\times 2}$ which has no rank-one connection and is elliptic, we prove the quantitative rigidity estimate \[ \inf_{M\in K}\int_{B_{1/2}}| Du -M |^2\,dx \leq C \int_{B_1} \math
Externí odkaz:
http://arxiv.org/abs/2208.08526
We consider finite-entropy solutions of scalar conservation laws $u_t +a(u)_x =0$, that is, bounded weak solutions whose entropy productions are locally finite Radon measures. Under the assumptions that the flux function $a$ is strictly convex (with
Externí odkaz:
http://arxiv.org/abs/2207.12979
Given any strictly convex norm $\|\cdot\|$ on $\mathbb{R}^2$ that is $C^1$ in $\mathbb{R}^2\setminus\{0\}$, we study the generalized Aviles-Giga functional \[I_{\epsilon}(m):=\int_{\Omega} \left(\epsilon \left|\nabla m\right|^2 + \frac{1}{\epsilon}\l
Externí odkaz:
http://arxiv.org/abs/2203.05418
Autor:
Polverino, Eva, Dimakou, Katerina, Traversi, Letizia, Bossios, Apostolos, Haworth, Charles S., Loebinger, Michael R., De Soyza, Anthony, Vendrell, Montserrat, Burgel, Pierre-Régis, Mertsch, Pontus, McDonnell, Melissa, Škrgat, Sabina, Maiz Carro, Luis, Sibila, Oriol, van der Eerden, Menno, Kauppi, Paula, Hill, Adam T., Wilson, Robert, Milenkovic, Branislava, Menendez, Rosario, Murris, Marlene, Digalaki, Tonia, Crichton, Megan L., Borecki, Sermin, Obradovic, Dusanka, Nowinski, Adam, Amorim, Adelina, Torres, Antoni, Lorent, Natalie, Welte, Tobias, Blasi, Francesco, Van Braeckel, Eva, Altenburg, Josje, Shoemark, Amelia, Shteinberg, Michal, Boersma, Wim, Elborn, J. Stuart, Aliberti, Stefano, Ringshausen, Felix C., Chalmers, James D., Goeminne, Pieter C.
Publikováno v:
In The Journal of Allergy and Clinical Immunology June 2024 153(6):1553-1562
Autor:
Xu, Yang, Wang, Xiaoqi, Zaal, Esther A., Berkers, Celia R., Lorent, Joseph H., Heise, Torben, Cox, Ruud, Pieters, Roland J., Breukink, Eefjan
Publikováno v:
In BBA - Molecular and Cell Biology of Lipids May 2024 1869(4)
Autor:
Serban Chivulescu, Mihai Hapa, Diana Pitar, Adrian Lorenţ, Luminita Marmureanu, Stefan Leca, Raul Radu, Roxana Cazacu, Alexandru Claudiu Dobre, Ionut Silviu Pascu, Cristiana Marcu, Mircea Verghelet, Constantin Vezeanu, Tudor Racoviceanu, Ovidiu Badea
Publikováno v:
Frontiers in Forests and Global Change, Vol 7 (2024)
The concept of ecosystem services and their valuation has gained significant attention in recent years due to the profound interdependence and interconnectedness between humans and ecosystems. As several studies on valuation of forest ecosystem servi
Externí odkaz:
https://doaj.org/article/3914e1c3d5d948f4a7c1349c6928ebb7
Autor:
Lorent, Andrew, Peng, Guanying
The Eikonal equation arises naturally in the limit of the second order Aviles-Giga functional whose $\Gamma$-convergence is a long standing challenging problem. The theory of entropy solutions of the Eikonal equation plays a central role in the varia
Externí odkaz:
http://arxiv.org/abs/2104.01467
Autor:
Wang, Zhifen, Vanbever, Rita, Lorent, Joseph H., Solis, Jessica, Knoop, Christiane, Van Bambeke, Françoise
Publikováno v:
In Journal of Cystic Fibrosis February 2024
Publikováno v:
Arch Rational Mech Anal (2020)
In this paper we prove sharp regularity for a differential inclusion into a set $K\subset\mathbb{R}^{2\times 2}$ that arises in connection with the Aviles-Giga functional. The set $K$ is not elliptic, and in that sense our main result goes beyond \v{
Externí odkaz:
http://arxiv.org/abs/1910.10284