Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Toda, Magdalena"'
We study a particular type of Einstein warped-product manifold where the warping function must satisfy the homogeneous version of the screened Poisson equation. Under these assumptions, we show that the dimension of the manifold, the (constant negati
Externí odkaz:
http://arxiv.org/abs/2407.20381
For $p\in\mathbb{R}$, we show that non-circular closed $p$-elastic curves in $\mathbb{S}^2$ exist only when $p=2$, in which case they are classical elastic curves, or when $p\in(0,1)$. In the latter case, we prove that for every pair of relatively pr
Externí odkaz:
http://arxiv.org/abs/2209.11597
We consider an energy functional on surface immersions which includes contributions from both boundary and interior. Inspired by physical examples, the boundary is modeled as the center line of a generalized Kirchhoff elastic rod, while the interior
Externí odkaz:
http://arxiv.org/abs/2110.14778
We study equilibrium configurations for the Euler-Plateau energy with elastic modulus, which couples an energy functional of Euler-Plateau type with a total curvature term often present in models for the free energy of biomembranes. It is shown that
Externí odkaz:
http://arxiv.org/abs/2010.00149
This article investigates stationary surfaces with boundaries, which arise as the critical points of functionals dependent on curvature. Precisely, a generalized "bending energy" functional $\mathcal{W}$ is considered which involves a Lagrangian that
Externí odkaz:
http://arxiv.org/abs/1912.07103
In this work, we analyze the flow filtration process of slightly compressible fluids in porous media containing man made fractures with complex geometries. We model the coupled fracture-porous media system where the linear Darcy flow is considered in
Externí odkaz:
http://arxiv.org/abs/1905.07525
Functionals involving surface curvature are important across a range of scientific disciplines, and their extrema are representative of physically meaningful objects such as atomic lattices and biomembranes. Inspired in particular by the relationship
Externí odkaz:
http://arxiv.org/abs/1905.01759
Publikováno v:
In Differential Geometry and its Applications February 2023 86
Publikováno v:
J. Math. Phys. 60, 051504 (2019)
In this study, we analyze the flow filtration process of slightly compressible fluids in fractured porous media. We model the coupled fractured porous media system, where the linear Darcy flow is considered in porous media and the nonlinear Forchheim
Externí odkaz:
http://arxiv.org/abs/1711.02813
Publikováno v:
AIMS Mathematics; 2024, Vol. 9 Issue 7, p18732-18745, 14p