Results 71 to 80 of about 355,119 (383)
On approximation for fractional stochastic partial differential equations on the sphere [PDF]
Stochastic environmental research and risk assessment (Print), 2017 This paper gives the exact solution in terms of the Karhunen–Loève expansion to a fractional stochastic partial differential equation on the unit sphere $${\mathbb {S}}^{2} \subset {\mathbb {R}}^{3}$$S2⊂R3 with fractional Brownian motion as driving noise
V. Anh +3 more
semanticscholar +1 more source
Advanced Functional Materials, EarlyView.Electric control of magnetic tunnel junctions offers a path to drastically reduce the energy requirements of the device. Electric field control of magnetization can be realized in a multitude of ways. These mechanisms can be integrated into existing spintronic devices to further reduce the operational energy.
Will Echtenkamp +7 more
wiley +1 more source
Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion
Abstract and Applied Analysis, 2014 We investigate a class of abstract functional stochastic evolution equations driven by a fractional Brownian motion in a real separable Hilbert space. Global existence results concerning mild solutions are formulated under various growth and compactness ...
Mark A. McKibben, Micah Webster
doaj +1 more source
Stochastic Maximum Principle for a PDEs with noise and control on the boundary
, 2011 In this paper we prove necessary conditions for optimality of a stochastic control problem for a class of stochastic partial differential equations that is controlled through the boundary.
Guatteri, Giuseppina
core +1 more source
Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise [PDF]
Numerische Mathematik, 2017 Numerical approximation of a stochastic partial integro-differential equation driven by a space-time white noise is studied by truncating a series representation of the noise, with finite element method for spatial discretization and convolution ...
M. Gunzburger, Buyang Li, Jilu Wang
semanticscholar +1 more source
Advanced Functional Materials, EarlyView.This study introduces a novel multi‐scale scaffold design using L‐fractals arranged in Archimedean tessellations for tissue regeneration. Despite similar porosity, tiles display vastly different tensile responses (1–100 MPa) and deformation modes. In vitro experiments with hMSCs show geometry‐dependent growth and activity. Over 55 000 tile combinations
Maria Kalogeropoulou +4 more
wiley +1 more source
On Deterministic and Stochastic Multiple Pathogen Epidemic Models
Epidemiologia, 2021 In this paper, we consider a stochastic epidemic model with two pathogens. In order to analyze the coexistence of two pathogens, we compute numerically the expectation time until extinction (the mean persistence time), which satisfies a stationary ...
Fernando Vadillo
doaj +1 more source
Advanced Functional Materials, EarlyView.This work presents self‐propelled CRISPR/Cas9‐functionalized Au–MRs for rapid, amplification‐free, “on‐the‐fly” DNA detection. By harnessing motion‐assisted signal recovery, the platform achieved the limit of detection in low fM DNA concentrations, enabling detection across a wide dynamic range within only 5 min, which is significantly faster than any ...
Jyoti +3 more
wiley +1 more source
Feynman-Kac theorem in Hilbert spaces
Electronic Journal of Differential Equations, 2014 In this article we study the relationship between solutions to Cauchy problems for the abstract stochastic differential equation $dX(t)=AX(t)dt + BdW(t)$ and solutions to Cauchy problems (backward and forward) for the infinite dimensional ...
Irina V. Melnikova +1 more
doaj
Abstract and Applied Analysis, 2013 We consider the stochastic optimal control problems under G-expectation. Based on the theory of backward stochastic differential equations driven by G-Brownian motion, which was introduced in Hu et al.
Zhonghao Zheng +2 more
doaj +1 more source