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Computer Vision, A Reference Guide, 2014 Viscosity solution is a notion of weak solution for a class of partial differential equations of Hamilton-Jacobi type. The range of applications of the notions of viscosity solution and Hamilton-Jacobi equations is enormous, including common class of partial differential equations such as evolutive problems and problems with boundary conditions ...
F. Camilli, E. Prados
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Advances in Calculus of Variations, 2023
In this paper, when studying the connection between the fractional convexity and the fractional p-Laplace operator, we deduce a nonlocal and nonlinear equation.
S. Shi, Zhichun Zhai, Lei Zhang
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In this paper, when studying the connection between the fractional convexity and the fractional p-Laplace operator, we deduce a nonlocal and nonlinear equation.
S. Shi, Zhichun Zhai, Lei Zhang
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The Existence and Uniqueness of Viscosity Solution to a Kind of Hamilton-Jacobi-Bellman Equation
SIAM Journal of Control and Optimization, 2018In this paper, we study the existence and uniqueness of viscosity solutions to a kind of Hamilton-Jacobi-Bellman (HJB) equations combined with algebra equations.
Mingshang Hu, Shaolin Ji, Xiaole Xue
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, 2018
In this paper, we investigate a class of infinite-horizon optimal control problems for stochastic differential equations with delays for which the associated second order Hamilton−Jacobi−Bellman (HJB) equation is a nonlinear partial differential equation
Jianjun Zhou
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In this paper, we investigate a class of infinite-horizon optimal control problems for stochastic differential equations with delays for which the associated second order Hamilton−Jacobi−Bellman (HJB) equation is a nonlinear partial differential equation
Jianjun Zhou
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Solution viscosity regulates chondrocyte proliferation and phenotype during 3D culture.
Journal of materials chemistry. B, 2019Cells are surrounded by an extracellular matrix (ECM), which controls cellular functions through biological or physicochemical cues. In particular, cartilage tissues have abundant ECM that is viscoelastic and provides the necessary signals for the ...
Kyubae Lee +6 more
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The negative of regular cosmological time function is a viscosity solution
, 2014In this paper we show that for a spacetime (M, g) with regular cosmological time function τ, −τ is a viscosity solution to the Hamilton-Jacobi equation g(∇u, ∇u) = −1 and shares some analogous properties with the so-called weak KAM solutions.
Xiaojun Cui, Liang Jin
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Effect of Solutes on the Viscosity of Supercritical Solutions
The Journal of Physical Chemistry B, 2007This study shows that solutes can impart significant structure to supercritical solutions, resulting in unexpectedly high solution viscosity at pressures close to the critical value. The viscosity passes through a minimum as the pressure is increased, and this is accounted for by a solvation of the solutes leading to a decrease in solute-solute ...
Abbott, AP, Hope, EG, Palmer, DJ
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Molecular Pharmaceutics, 2021
Predicting the solution viscosity of monoclonal antibody (mAb) drug products remains as one of the main challenges in antibody drug design, manufacturing, and delivery.
Pin-Kuang Lai +8 more
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Predicting the solution viscosity of monoclonal antibody (mAb) drug products remains as one of the main challenges in antibody drug design, manufacturing, and delivery.
Pin-Kuang Lai +8 more
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The viscosity of short polyelectrolyte solutions
Soft Matter, 2014We consider the viscosity of solutions of highly charged short polyelectrolytes. Our system is a poly(styrene-maleic acid) copolymer solution (SMA) with various added salt concentrations in dilute and semidilute regimes. The SMA solutions show some particular features: (i) variations of the specific viscosity measured for different values of ...
Izzo, D. +2 more
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