Results 121 to 130 of about 661,238 (311)
Estimation for some Stochastic Partial Differential Equations Based on Discrete Observations [PDF]
Б. Л. С. Пракаса Рао
openalex +1 more source
The study investigates the effects of nanoplastics on human immune cells using palladium‐doped polystyrene nanoplastics and mass cytometry. It reveals that nanoplastics accumulate in various immune cell subpopulations, reducing cell viability and impairing function. In vivo experiments in mice confirm their accumulation in several immune cells.
Laura Fusco+13 more
wiley +1 more source
Nonlinear Fractional Backward Doubly Stochastic Differential Equations with Hurst Parameter in (1/2,1) [PDF]
We first state a special type of It\^o formula involving stochastic integrals of both standard and fractional Brownian motions. Then we use Doss-Sussman transformation to establish the link between backward doubly stochastic differential equations, driven by both standard and fractional Brownian motions, and backward stochastic differential equations ...
arxiv
Machine Learning in Polymer Research
Artificial intelligence (AI) has permeated every aspect of science, including polymer research. Researchers from both fields need to collaborate to understand the challenges and opportunities of each domain. This review is therefore written by mathematicians and polymer chemists to highlight the key research questions polymer chemists aim to address ...
Wei Ge+4 more
wiley +1 more source
Homogenization of periodic elliptic degenerate PDEs with non-linear Neumann boundary condition
In this paper, a semi-linear elliptic partial differential equation (PDE) with non linear Neumann boundary condition and rapidly oscillating coefficients is homogenized.
Mohamed Marzougue, Ibrahima Sane
doaj
Semi-linear Backward Stochastic Integral Partial Differential Equations driven by a Brownian motion and a Poisson point process [PDF]
In this paper we investigate classical solution of a semi-linear system of backward stochastic integral partial differential equations driven by a Brownian motion and a Poisson point process. By proving an It\^{o}-Wentzell formula for jump diffusions as well as an abstract result of stochastic evolution equations, we obtain the stochastic integral ...
arxiv
Phase‐change materials (PCMs) are transforming reconfigurable photonics with their electrically tunable optical properties. This review examines the thermal challenges of scaling PCM devices to larger volumes beyond storage‐class applications, emphasizing thermal transport mechanisms, material properties, and design strategies.
Kiumars Aryana+10 more
wiley +1 more source
Statistical Inference for Stochastic Partial Differential Equations [PDF]
Б. Л. С. Пракаса Рао
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This review explores how in situ and operando spectroscopic techniques reveal the real‐time behavior of reticular materials, including MOFs and COFs. These methods track material formation and functionalization, structural changes, defect formation, dynamic responses to external triggers, and catalytic processes.
Bettina Baumgartner+4 more
wiley +1 more source
Support Theorem for the Solution of a White-Noise-Driven Parabolic Stochastic Partial Differential Equation with Temporal Poissonian Jumps [PDF]
Nicolas Fournier
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