Results 81 to 90 of about 184,298 (338)

Stability of solutions to stochastic partial differential equations

open access: yesJournal of Differential Equations, 2016
We provide a general framework for the stability of solutions to stochastic partial differential equations with respect to perturbations of the drift. More precisely, we consider stochastic partial differential equations with drift given as the subdifferential of a convex function and prove continuous dependence of the solutions with regard to random ...
Gess, Benjamin, Tölle, Jonas M.
openaire   +5 more sources

Fractional Skyrmion Tubes in Chiral‐Interfaced 3D Magnetic Nanowires

open access: yesAdvanced Functional Materials, EarlyView.
In chiral 3D helical magnetic nanowires, the coupling between the geometric and magnetic chirality provides a way to create topological spin states like vortex tubes. Here, it is demonstrated how the breaking of this coupling in interfaced 3D nanowires of opposite chirality leads to even more complex topological spin states, such as fractional ...
John Fullerton   +11 more
wiley   +1 more source

Prospects of Electric Field Control in Perpendicular Magnetic Tunnel Junctions and Emerging 2D Spintronics for Ultralow Energy Memory and Logic Devices

open access: yesAdvanced 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

Stochastic Differential Games and a Unified Forward–Backward Coupled Stochastic Partial Differential Equation with Lévy Jumps

open access: yesMathematics
We establish a relationship between stochastic differential games (SDGs) and a unified forward–backward coupled stochastic partial differential equation (SPDE) with discontinuous Lévy Jumps. The SDGs have q players and are driven by a general-dimensional
Wanyang Dai
doaj   +1 more source

Recycling of Thermoplastics with Machine Learning: A Review

open access: yesAdvanced Functional Materials, EarlyView.
This review shows how machine learning is revolutionizing mechanical, chemical, and biological pathways, overcoming traditional challenges and optimizing sorting, efficiency, and quality. It provides a detailed analysis of effective feature engineering strategies and establishes a forward‐looking research agenda for a truly circular thermoplastic ...
Rodrigo Q. Albuquerque   +5 more
wiley   +1 more source

Pandæsim: An Epidemic Spreading Stochastic Simulator

open access: yesBiology, 2020
Many methods have been used to model epidemic spreading. They include ordinary differential equation systems for globally homogeneous environments and partial differential equation systems to take into account spatial localisation and inhomogeneity ...
Patrick Amar
doaj   +1 more source

CRISPR/Cas9‐Assisted Microrobots for Fast and Ultrasensitive “On‐The‐Fly” Next‐Generation DNA Detection

open access: yesAdvanced 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

A stochastic control problem

open access: yesElectronic Journal of Differential Equations, 2004
In this paper, we study a specific stochastic differential equation depending on a parameter and obtain a representation of its probability density function in terms of Jacobi Functions.
William Margulies, Dean Zes
doaj  

Application of the Tanh–Coth and HSI methods in deriving exact analytical solutions for the STFKS equation

open access: yesFrontiers in Applied Mathematics and Statistics
The stochastic time-fractional Kuramoto–Sivashinsky (STFKS) equation models a wide range of physical phenomena involving spatio-temporal instabilities and noise-driven dynamics.
Abaker A. Hassaballa   +9 more
doaj   +1 more source

Stochastic partial differential equation based modelling of large space-time data sets

open access: yes, 2016
Increasingly larger data sets of processes in space and time ask for statistical models and methods that can cope with such data. We show that the solution of a stochastic advection-diffusion partial differential equation provides a flexible model class ...
Abramowitz   +107 more
core   +1 more source

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