Results 11 to 20 of about 2,638 (189)

Mathematical Analysis of the PDE Model for the Consensus-based Optimization [PDF]

In this paper, we develop an analytical framework for the partial differential equation underlying the consensus-based optimization model. The main challenge arises from the nonlinear, nonlocal nature of the consensus point, coupled with a diffusion term that is both singular and degenerate. By employing a regularization procedure in combination with a
Jinhuan Wang, Keyu Li, Hui Huang
openalex   +3 more sources

Mathematical analysis of a PDE epidemiological model applied toscrapie transmission

Communications on Pure & Applied Analysis, 2008
El objetivo de este trabajo es analizar un modelo dinámico que describe la propagación de la tembladera en un rebaño de ovejas. La tembladera es una encefalopatía espongiforme transmisible, endémica en algunas regiones europeas y sujeta a estrictas medidas de control. El modelo tiene en cuenta varios factores y procesos, incluida la cría estacional, la
Najat Ziyadi, Said Boulite, M.L. Hbid, Suzanne Touzeau, ,UR341 Mathématiques et informatique appliquées, INRA, F-78350 Jouy-en-Josas   +4 more
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Mathematical Analysis of a PDE System for Biological Network Formation [PDF]

Communications in Partial Differential Equations, 2014
Motivated by recent physics papers describing rules for natural network formation, we study an elliptic-parabolic system of partial differential equations proposed by Hu and Cai. The model describes the pressure field thanks to Darcy's type equation and the dynamics of the conductance network under pressure force effects with a diffusion rate $D ...
Jan Haškovec, Peter A. Markowich, Benoı̂t Perthame   +2 more
openalex   +6 more sources

New investigation on soliton solutions of two nonlinear PDEs in mathematical physics with a dynamical property: Bifurcation analysis [PDF]

Open Physics
Abstract To comprehend nonlinear dynamics, one must have access to soliton solutions, which faithfully portray the actions of numerous physical systems and nonlinear equations. Notable nonlinear equations in relativistic physics, quantum field theory, nonlinear optics, dispersive wave phenomena, contemporary industrial applications, and ...
Md. Monir Hossain, Salah Boulaaras, Abdulkafi Mohammed Saeed, Hussain Gissy, Md Nur Hossain, M. Mamun Miah   +5 more
openalex   +3 more sources

On mathematical analysis of a micro-scale Boltzmann-Maxwell’s PDEs model for a plasma flow influence by non-linear sinusoidal external electric field: Novel irreversibility analysis of plasma kinetic theory

Alexandria Engineering Journal
Unfortunately, the scientific research concerned with the micro-scale mathematical models in plasma has very few numbers compared with the other mathematical models. However, the microscopic fields are related to all modern technology like nano and micro technology, quantum computers, and many other essential applications.
Taha Zakaraia Abdel Wahid, Zaki Mrzog Alaofi, Taha Radwan   +2 more
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Rib‐Reinforced Ultralight and Ultra‐Strong Shell Lattices

Advanced Science, EarlyView.
This study thoroughly reveals the relation between the curvature and stress direction of triply periodic minimal surface (TPMS) thin shell lattices and proposes a novel rib reinforcement design strategy to incorporate ribs along the line of asymptotes (LOA) and the line of principal curvatures (LOC) to enhance the strength of ultralight TPMS shell ...
Winston Wai Shing Ma, Lei Zhang, Junhao Ding, Shuo Qu, Michael Yu Wang, Xu Song, Ming Wang Fu   +6 more
wiley   +1 more source

Control of Dissipative Heat on the MHD Casson Fluid With the Interaction of Velocity Slip and Convective Condition Over a Stagnation Point

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The growing need for enhanced thermal regulation is vital in recent advancements such as biomedical engineering, polymer processing, etc. In particular, the non‐Newtonian fluid likely Casson fluid with yield stress is used in these areas because of its ability to prepare biofluids and industrial suspensions effectively.
Bhagyabati Behuria, B. Nayak, S. R. Mishra   +2 more
wiley   +1 more source

Dissipative Heat Impact on the Non‐Newtonian Walter's B Nanoliquid Over an Elongating Surface Through a Permeable Medium

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The utilisation of viscoelastic Walter's B nanoliquid in engineering and biomedical applications gained substantial attention because of its ability to provide real‐time fluid behaviour, particularly in the heat flow mechanism. In particular, the flow of viscoelastic fluid over an elongating surface is useful in polymer processing and ...
Laxmipriya Swain, Subhajit Panda, S. R. Mishra, Rupa Baithalu   +3 more
wiley   +1 more source

Flow of Elastoviscous Nanofluid Through an Elongating Surface With Dissipative Heat: A Confluent Hypergeometric Solution

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Thermal energy transport likely through polymer extrusion, cooling of metallic plates, and chemical processing equipment relating to the flow of viscoelastic nanofluid has a greater role in engineering because of its elastic characteristics.
Rupa Baithalu, S. R. Mishra, Ram Prakash Sharma, Laxmipriya Swain   +3 more
wiley   +1 more source

Are physiological oscillations physiological?

The Journal of Physiology, EarlyView., 2023
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley   +1 more source