Results 1 to 10 of about 65,582 (245)

Exploring Nonlinear Diffusion Equations for Modelling Dye-Sensitized Solar Cells [PDF]

Entropy, 2020
Dye-sensitized solar cells offer an alternative source for renewable energy by means of converting sunlight into electricity. While there are many studies concerning the development of DSSCs, comprehensive mathematical modelling of the devices is still ...
Benjamin Maldon, Ngamta Thamwattana, Maureen Edwards   +2 more
doaj   +2 more sources

Generalized Kinetic Equations with Fractional Time-Derivative and Nonlinear Diffusion: H-Theorem and Entropy [PDF]

Entropy
We investigate the H-theorem for a class of generalized kinetic equations with fractional time-derivative, hyperbolic term, and nonlinear diffusion.
Ervin K. Lenzi, Michely P. Rosseto, Derik W. Gryczak, Luiz R. Evangelista, Luciano R. da Silva, Marcelo K. Lenzi, Rafael S. Zola   +6 more
doaj   +2 more sources

From latent dynamics to data geometry: Nonlinear diffusion modelling for protein structures [PDF]

Computational and Structural Biotechnology Journal
The role and impact of nonlinearity in generative diffusion models remain largely unexplored and theoretically underdeveloped. In this work, we introduce ProT-INDM, an implicit nonlinear diffusion framework that uses invertible normalizing flows to ...
Xiao Liang, Eric Paquet, Herna Viktor, Wojtek Michalowski   +3 more
doaj   +2 more sources

Results for Nonlinear Diffusion Equations with Stochastic Resetting [PDF]

Entropy, 2023
In this study, we investigate a nonlinear diffusion process in which particles stochastically reset to their initial positions at a constant rate. The nonlinear diffusion process is modeled using the porous media equation and its extensions, which are ...
Ervin K. Lenzi, Rafael S. Zola, Michely P. Rosseto, Renio S. Mendes, Haroldo V. Ribeiro, Luciano R. da Silva, Luiz R. Evangelista   +6 more
doaj   +2 more sources

Backward nonlinear smoothing diffusions [PDF]

Теория вероятностей и ее применения, 2021
Мы представляем обратный диффузионный поток (т.е. обратное по времени стохастическое дифференциальное уравнение), маргинальное распределение которого в любой (более ранний) момент времени равно сглаживающему распределению, когда конечное состояние (в заключительный момент) распределено согласно распределению фильтра.
Anderson, Brian, Bishop, A N, Del Moral, P, Palmier, C   +3 more
openaire   +5 more sources

Automatic Matching of Multispectral Images Based on Nonlinear Diffusion of Image Structures

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021
Imaging with different spectrums often leads to significant nonlinear differences in the intensity, which brings a great challenge to the automatic matching of multispectral images.
Ruixiang Li, Haitao Zhao, Xiaoye Zhang, Xiaosan Ge, Zhanliang Yuan, Qin Zou   +5 more
doaj   +1 more source

A Strong Maximum Principle for Nonlinear Nonlocal Diffusion Equations

Axioms, 2023
We consider a class of nonlinear integro-differential equations that model degenerate nonlocal diffusion. We investigate whether the strong maximum principle is valid for this nonlocal equation. For degenerate parabolic PDEs, the strong maximum principle
Tucker Hartland, Ravi Shankar
doaj   +1 more source

Systemic States of Spreading Activation in Describing Associative Knowledge Networks II: Generalisations with Fractional Graph Laplacians and q-Adjacency Kernels

Systems, 2021
Associative knowledge networks are often explored by using the so-called spreading activation model to find their key items and their rankings. The spreading activation model is based on the idea of diffusion- or random walk -like spreading of activation
Ismo T. Koponen
doaj   +1 more source

Instability of Traveling Pulses in Nonlinear Diffusion-Type Problems and Method to Obtain Bottom-Part Spectrum of Schrödinger Equation with Complicated Potential

Physics, 2021
The instability of traveling pulses in nonlinear diffusion problems is inspected on the example of Gunn domains in semiconductors. Mathematically, the problem is reduced to the calculation of the “energy” of the ground state in the Schrödinger equation ...
Michael I. Tribelsky
doaj   +1 more source

Filtering of Audio Signals Using Discrete Wavelet Transforms

Mathematics, 2023
Nonlinear diffusion has been proved to be an indispensable approach for the removal of noise in image processing. In this paper, we employ nonlinear diffusion for the purpose of denoising audio signals in order to have this approach also recognized as a ...
H. K. Nigam, H. M. Srivastava
doaj   +1 more source