搜索结果: 1-6 共查到“偏微分方程 Mathematical”相关记录6条 . 查询时间(0.015 秒)
C^{1,1} regularity for degenerate elliptic obstacle problems in mathematical finance
American-style option degenerate elliptic differential operator degenerate diffusion process free boundary problem Heston stochastic volatility process
2012/6/21
The Heston stochastic volatility process is a degenerate diffusion process where the degeneracy in the diffusion coefficient is proportional to the square root of the distance to the boundary of the h...
On the long-time behavior of some mathematical models for nematic liquid crystals
liquid crystals Navier-Stokes system omega-limit set
2011/9/21
Abstract: A model describing the evolution of a liquid crystal substance in the nematic phase is investigated in terms of two basic state variables: the {\it velocity field} $\bu$ and the {\it directo...
Mathematical analysis of successive linear approximation for Mooney-Rivlin material model in finite elasticity
Linearized constitutive equations Mooney-Rivlin material Relative descriptional formulation Existence and uniqueness
2011/9/6
Abstract: For calculating large deformations in finite elasticity, we have proposed a method of successive linear approximation, by considering the relative descriptional formulation. In this article ...
Bose-Einstein condensates in optical lattices: mathematical analysis and analytical approximate formulae
Bose-Einstein condensates stability of ground states analytical approximate formulae repulsive or attractive interatomic interactions
2011/9/6
Abstract: We show that the Gross-Pitaevskii equation with cubic nonlinearity, as a model to describe the one dimensional Bose-Einstein condensates loaded into a harmonically confined optical lattice, ...
Turing instabilities in a mathematical model for signaling networks
Turing instability non-local reaction-diffusion system signaling molecules
2011/8/30
Abstract: GTPase molecules are important regulators in cells that continuously run through an activation/deactivation and membrane-attachment/membrane-detachment cycle. Activated GTPase is able to loc...
Barrier methods for critical exponent problems in geometric analysis and mathematical physics
Nonlinear elliptic equations geometric analysis Yamabe problem general relativity
2011/8/23
Abstract: We consider the design and analysis of numerical methods for approximating positive solutions to nonlinear geometric elliptic partial differential equations containing critical exponents. Th...