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Investigation of the Bending Process and Theory in Free-Boundary Pneumatic Film-Forming for Curved Image Sensors [PDF]

open access: yesSensors
To explore the bending process and theory of the free-boundary aerodynamic film forming method for curved detectors, this study integrates practical forming structures with theoretical analysis and establishes a simulation model to investigate stress ...
Weihan Zheng   +3 more
doaj   +2 more sources

Homogenization of the Free Boundary Velocity [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2006
The author studies the existence of a unique motion law of the free boundary in the homogenization limit. A continuous function is proved to exist on the unit ball, such that the family of solutions \({u^\epsilon}\) of the problems \((P)_\epsilon\) uniformly converges to \(u\), where \(u\) satisfies a homogenized equation. The main step of the proof is
Inwon Kim
exaly   +3 more sources

Lozenge tilings with free boundary [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
We study tilings with lozenges of a domain with free boundary conditions on one side. These correspondto boxed symmetric plane partitions. We show that the positions of the horizontal lozenges near the left flatboundary, in the limit, have the same joint
Greta Panova
doaj   +1 more source

ON BERNOULLI'S FREE BOUNDARY PROBLEM WITH A RANDOM BOUNDARY [PDF]

open access: yesInternational Journal for Uncertainty Quantification, 2017
This article is dedicated to the solution of Bernoulli’s exterior free boundary problem in the situation of a random interior boundary. We provide the theoretical background that ensures the well-posedness of the problem under consideration and describe two different frameworks to define the expectation and the deviation of the resulting annular domain.
Dambrine, Marc   +3 more
openaire   +2 more sources

A Free Boundary Problem for the Predator–Prey Model with Double Free Boundaries [PDF]

open access: yesJournal of Dynamics and Differential Equations, 2015
25 ...
Wang, Mingxin, Zhao, Jingfu
openaire   +3 more sources

A Nonlocal Free Boundary Problem [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2015
Given~$s,σ\in(0,1)$ and a bounded domain~$Ω\subset\R^n$, we consider the following minimization problem of $s$-Dirichlet plus $σ$-perimeter type $$ [u]_{ H^s(\R^{2n}\setminus(Ω^c)^2) } + \Per_σ\left(\{u>0\},Ω\right), $$ where~$[ \cdot]_{H^s}$ is the fractional Gagliardo seminorm and $\Per_σ$ is the fractional perimeter. Among other results, we prove
S. Dipierro, O. Savin, E. Valdinoci
openaire   +5 more sources

On the free boundary of an annuity purchase [PDF]

open access: yesFinance and Stochastics, 2018
34 pages, 5 figures; improved ...
Tiziano De Angelis, Gabriele Stabile
openaire   +4 more sources

Rectifiability of the free boundary for varifolds [PDF]

open access: yesIndiana University Mathematics Journal, 2021
We establish a partial rectifiability result for the free boundary of a $k$-varifold $V$. Namely, we first refine a theorem of Grüter and Jost by showing that the first variation of a general varifold with free boundary is a Radon measure. Next we show that if the mean curvature $H$ of $V$ is in $L^p$ for some $p \in [1,k]$, then the set of points ...
openaire   +3 more sources

Free boundaries in problems with hysteresis [PDF]

open access: yesPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015
Here, we present a survey concerning parabolic free boundary problems involving a discontinuous hysteresis operator. Such problems describe biological and chemical processes ‘with memory’ in which various substances interact according to hysteresis law.
D. E. Apushkinskaya, N. N. Uraltseva
openaire   +3 more sources

Analysis of a multiphase free boundary problem [PDF]

open access: yesOpuscula Mathematica
In this paper, we investigate a free boundary problem relevant in several applications, such as tumor growth models. Our problem is expressed as an elliptic equation involving discontinuous nonlinearities in a specified domain with a moving boundary.
Ahlem Abdelouahab, Sabri Bensid
doaj   +1 more source

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