Zobrazeno 1 - 10
of 1 474
pro vyhledávání: '"FELDMAN, WILLIAM"'
We consider a toy model of rate independent droplet motion on a surface with contact angle hysteresis based on the one-phase Bernoulli free boundary problem. We introduce a notion of solutions based on an obstacle problem. These solutions jump ``as l
Externí odkaz:
http://arxiv.org/abs/2410.06931
Autor:
Collins, Carson, Feldman, William M
We study the uniqueness and regularity of minimizing movements solutions of a droplet model in the case of piecewise monotone forcing. We show that such solutions evolve uniquely on each interval of monotonicity, but branching non-uniqueness may occu
Externí odkaz:
http://arxiv.org/abs/2408.15984
Autor:
Feldman, William, Huang, Zhonggan
We study the regularity and comparison principle for a gradient degenerate Neumann problem. The problem is a generalization of the Signorini or thin obstacle problem which appears in the study of certain singular anisotropic free boundary problems ar
Externí odkaz:
http://arxiv.org/abs/2406.06614
Autor:
Feldman, William M, Pozar, Norbert
We give a new proof of a convex comparison principle for exterior Bernoulli free boundary problems with discontinuous anisotropy.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2403.07212
We introduce a toy model for rate-independent droplet motion on a surface with contact angle hysteresis based on the one-phase Bernoulli free boundary problem. We consider a notion of energy solutions and show existence by a minimizing movement schem
Externí odkaz:
http://arxiv.org/abs/2310.03656
The Ising model of statistical physics has served as a keystone example of phase transitions, thermodynamic limits, scaling laws, and many other phenomena and mathematical methods. We introduce and explore an Ising game, a variant of the Ising model
Externí odkaz:
http://arxiv.org/abs/2301.00851
Autor:
Feldman, William M
We apply new results on free boundary regularity of one-phase almost minimizers in periodic media to obtain a quantitative convergence rate for the shape optimizers of the first Dirichlet eigenvalue in periodic homogenization. We obtain a linear (wit
Externí odkaz:
http://arxiv.org/abs/2209.01446
Autor:
Abedin, Farhan, Feldman, William M
We consider an oscillatory obstacle problem where the coincidence set and free boundary are also highly oscillatory. We establish a rate of convergence for a regularized notion of free boundary to the free boundary of a corresponding classical obstac
Externí odkaz:
http://arxiv.org/abs/2208.04923
Autor:
Feldman, William M
Publikováno v:
Ars Inveniendi Analytica (2023), Paper No. 2, 41 pp
We prove that minimizers and almost minimizers of one-phase free boundary energy functionals in periodic media satisfy large scale (1) Lipschitz estimates (2) free boundary flat implies Lipschitz estimates. The proofs are based on techniques introduc
Externí odkaz:
http://arxiv.org/abs/2207.12289