A New Fractional-order Derivative-based Nonlinear Anisotropic Diffusion Model for Biomedical Imaging
Chaos Theory and Applications, 2023 Medical imaging, the process of visual representation of different organs and tissues of the human body, is employed for monitoring the normal as well as abnormal anatomy and physiology of the body. Imaging which can provide healthcare solutions ensuring
Yeliz Karaca +2 more
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Path-Dependent Optimal Stochastic Control and Viscosity Solution of Associated Bellman Equations [PDF]
, 2012 In this paper we study the optimal stochastic control problem for a path-dependent stochastic system under a recursive path-dependent cost functional, whose associated Bellman equation from dynamic programming principle is a path-dependent fully ...
Shanjian Tang, Fu Zhang
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On Zero-Sum Stochastic Differential Games with Jump-Diffusion Driven State: A Viscosity Solution Framework [PDF]
SIAM Journal of Control and Optimization, 2010 A zero-sum differential game with controlled jump-diffusion driven state is considered and studied by a combination of dynamic programming and viscosity solution techniques. We prove, under certain conditions, that the value of the game exists. Moreover,
Imran H. Biswas
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Approximate solutions of the Riemann problem for a two-phase flow of immiscible liquids based on the Buckley–Leverett model [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The article proposes an approximate method based on the "vanishing viscosity" method, which ensures the smoothness of the solution without taking into account the capillary pressure.
Y.S. Aldanov +2 more
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The vanishing viscosity limit for Hamilton-Jacobi equations on Networks [PDF]
, 2012 For a Hamilton-Jacobi equation defined on a network, we introduce its vanishing viscosity approximation. The elliptic equation is given on the edges and coupled with Kirchhoff-type conditions at the transition vertices. We prove that there exists exactly
Camilli, Fabio +2 more
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Deterministic minimax impulse control in finite horizon: the viscosity solution approach [PDF]
, 2010 We study here the impulse control minimax problem. We allow the cost functionals and dynamics to be unbounded and hence the value functions can possibly be unbounded. We prove that the value function of the problem is continuous.
B. E. Asri
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Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation
Advances in Nonlinear Analysis, 2023 In this article, we study the asymptotic behaviour at infinity for viscosity solutions to a singular Monge-Ampère equation in half space from affine geometry.
Jian Huaiyu, Wang Xianduo
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An approximation scheme for an Eikonal Equation with discontinuous coefficient [PDF]
, 2013 We consider the stationary Hamilton-Jacobi equation where the dynamics can vanish at some points, the cost function is strictly positive and is allowed to be discontinuous. More precisely, we consider special class of discontinuities for which the notion
Adriano Festa +4 more
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Viscosity Control of Protein Solution by Small Solutes: A Review
Current protein and peptide science, 2017 Viscosity of protein solution is one of the most troublesome issues for the high-concentration formulation of protein drugs. In this review, we summarize the practical methods that suppress the viscosi-ty of protein solution using small molecular ...
Taehun Hong, Kazuki Iwashita, K. Shiraki
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Optimal control problems on stratified domains
Networks and Heterogeneous Media, 2007 We consider a class of optimal control problems defined on a stratified domain. Namely, we assume that the statespace $\mathbb{R}^N$ admits a stratification as a disjoint union of finitely many embedded submanifolds $\mathcal{M}_i$.
Alberto Bressan, Yunho Hong
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