Zobrazeno 1 - 10
of 174 717
pro vyhledávání: '"pdes"'
Autor:
Goffi, Alessandro
We establish a linear $L^p$ rate of convergence, $1
Externí odkaz:
http://arxiv.org/abs/2412.15651
Autor:
Pyatkov, S. G., Soldatov, O. A.
Under consideration are mathematical models of heat and mass transfer. We study inverse problems of recovering lower-order coefficients in a second order parabolic equation. The coefficients are representable in the form of a finite segments of the s
Externí odkaz:
http://arxiv.org/abs/2412.15635
In this article, we provide a definitive well-posedness theory for the free boundary problem in incompressible magnetohyrodynamics. Despite the clear physical interest in this system and the remarkable progress in the study of the free boundary Euler
Externí odkaz:
http://arxiv.org/abs/2412.15625
We establish that locally bounded relaxed minimizers of degenerate elliptic symmetric gradient functionals on $\mathrm{BD}(\Omega)$ have weak gradients in $\mathrm{L}_{\mathrm{loc}}^{1}(\Omega;\mathbb{R}^{n\times n})$. This is achieved for the sharp
Externí odkaz:
http://arxiv.org/abs/2412.16131
Autor:
Du, Qiang, Scott, James M.
Motivated by problems in machine learning, we study a class of variational problems characterized by nonlocal operators. These operators are characterized by power-type weights, which are singular at a portion of the boundary. We identify a range of
Externí odkaz:
http://arxiv.org/abs/2412.16109
Autor:
Carducci, Matteo, Colombo, Roberto
We establish generic regularity results of free boundaries for solutions of the obstacle problem for the fractional Laplacian $(-\Delta)^s$. We prove that, for almost every obstacle, the free boundary contains only regular points up to dimension $3$,
Externí odkaz:
http://arxiv.org/abs/2412.16066
Autor:
Barroso, Ana Cristina, Zappale, Elvira
A measure representation result for a functional modelling optimal design problems for plastic deformations, under linear growth conditions, is obtained. Departing from an energy with a bulk term depending on the second gradient, as well as a perimet
Externí odkaz:
http://arxiv.org/abs/2412.16027
We consider the kinetic wave equation, or phonon Boltzmann equation, set on the torus (physical system set on the lattice). We describe entropy maximizers for fixed mass and energy; our framework is very general, being valid in any dimension, for any
Externí odkaz:
http://arxiv.org/abs/2412.16026
We analyze the discrete-to-continuum limit of a frustrated ferromagnetic/anti-ferromagnetic $\mathbb{S}^2$-valued spin system on the lattice $\lambda_n\mathbb{Z}^2$ as $\lambda_n\to 0$. For $\mathbb{S}^2$ spin systems close to the Landau-Lifschitz po
Externí odkaz:
http://arxiv.org/abs/2412.15994