Results 11 to 20 of about 1,323,976 (332)
A parabolic-hyperbolic free boundary problem modeling tumor growth with drug application
Electronic Journal of Differential Equations, 2010 In this article, we study a free boundary problem modeling the growth of tumors with drug application. The model consists of two nonlinear second-order parabolic equations describing the diffusion of nutrient and drug concentration, and three ...
Ji-Hong Zhao
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Boundary-value problem with free boundary: zirconium alloy hydrogenation
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2016 One of the most important requirements for the reactor’s active zone materials (made of zirconium alloys) is low hydrogen absorptivity since hydrogen embrittlement may cause zirconium cladding damage.
Yury Zaika, Natalia Rodchenkova
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Discounted Optimal Stopping of a Brownian Bridge, with Application to American Options under Pinning
Mathematics, 2020 Mathematically, the execution of an American-style financial derivative is commonly reduced to solving an optimal stopping problem. Breaking the general assumption that the knowledge of the holder is restricted to the price history of the underlying ...
Bernardo D’Auria +2 more
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On the Optimal Control of the Free Boundary Problems for the Second Order Parabolic Equations. I.Well-posedness and Convergence of the Method of Lines [PDF]
, 2012 We develop a new variational formulation of the inverse Stefan problem, where information on the heat flux on the fixed boundary is missing and must be found along with the temperature and free boundary.
Mezzan, Youness, Tber, Moulay Hicham
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Some infinite free boundary problems [PDF]
Transactions of the American Mathematical Society, 1979 Let Γ \Gamma be the boundary of an unbounded simply connected region D \mathcal {D} , and let C ( Γ ) \mathcal {C}(\Gamma ) denote the family of all simply connected regions Δ ⊂ D \Delta ...
Tepper, David E., Wildenberg, Gerald
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On a price formation free boundary model by Lasry & Lions: The Neumann problem [PDF]
, 2011 We discuss local and global existence and uniqueness for the price formation free boundary model with homogeneous Neumann boundary conditions introduced by Lasry & Lions in 2007.
Caffarelli, Luis A. +2 more
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A Nonlocal Free Boundary Problem [PDF]
SIAM Journal on Mathematical Analysis, 2015 Given~$s, \in(0,1)$ and a bounded domain~$ \subset\R^n$, we consider the following minimization problem of $s$-Dirichlet plus $ $-perimeter type $$ [u]_{ H^s(\R^{2n}\setminus( ^c)^2) } + \Per_ \left(\{u>0\}, \right), $$ where~$[ \cdot]_{H^s}$ is the fractional Gagliardo seminorm and $\Per_ $ is the fractional perimeter.
S. Dipierro, O. Savin, E. Valdinoci
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On a free boundary problem and minimal surfaces [PDF]
, 2017 From minimal surfaces such as Simons' cone and catenoids, using refined Lyapunov-Schmidt reduction method, we construct new solutions for a free boundary problem whose free boundary has two components.
Liu, Yong, Wang, Kelei, Wei, Juncheng
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A free boundary focusing problem [PDF]
Proceedings of the American Mathematical Society, 1994 We consider a one-dimensional free boundary problem arising in combustion theory and establish that all solutions are asymptotically equal to a similarity solution which vanishes in a finite time.
Hilhorst, Danielle, Hulshof, Josephus
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AIMS Mathematics, 2023 In this paper an iterative method is proposed to solve a partial differential equation (PDE) with free boundary arising from pricing corporate bond with credit grade migration risk.
Zhongdi Cen +3 more
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