Results 1 to 10 of about 171,729,354 (84)

Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs [PDF]

Journal of Differential Equations, 2003
Every semigroup \(T\) on a Banach space \(X\) can be used to define elements \(u\in X\) of exponential type relative to \(T\) by requiring that \(u= T(s)v\) for some \(s>0\) and \(v\in X\). Let \(X\) and \(Y\) be Banach spaces in which the exponential type is characterized by the semigroups \(T\) and \(S\), respectively, and \(L: X\to Y\) be Fredholm ...
Patrick J. Rabier, Rabier, Patrick J.
openaire   +2 more sources

Continuous and discrete periodic asymptotic behavior of solutions to a competitive chemotaxis PDEs system

Communications in Nonlinear Science and Numerical Simulation, 2021
In this paper we study the continuous and full discrete versions of a parabolic-parabolic-elliptic system with periodic terms that serves as a model for some chemotaxis phenomena. This model appears naturally in the interaction of two biological species and a chemical.
Mihaela Negreanu, Antonio Manuel Vargas
openaire   +4 more sources

Periodic Solutions and Asymptotic Behavior of a PDE with Hysteresis in the Source Term

Rocky Mountain Journal of Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Streamline and Isotherm Visual Analysis of Darcy–Forchheimer von Karman Spinning Flow of Maxwell Fluid Over a Stretching Disk With Quadratic Temperature‐Dependent Heat Source

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This research paper provides an extensive study of the effects of Darcy–Forchheimer von‐Karman spinning flow of Maxwell fluid across a stretching disk including the effect of heat generation based on a nonlinear function of temperature. The flow system is influenced by thermal radiations and Arrhenius activation energy.
Ebrahem A. Algehyne, Mounirah Areshi, Fahad Maqbul Alamrani, Zehba Raizah, Mustafa Bayram, Jihad Younis, Anwar Saeed   +6 more
wiley   +1 more source

MHD Maxwell Hybrid Nanofluid Transport Featuring Solar Radiation and Thermo‐Diffusive Impacts Over a Permeable Slanted Stretching Sheet

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Hybrid nanofluids have emerged as next‐generation working fluids for advanced engineering application due to their superior heat transport capability in relation to the conventional nanofluids. Motivated by the rising demand for accurate prediction of transport phenomena under realistic operating situations, the present study examines the ...
B. Prabhakar Reddy, Swatmaram, Jumanne Mng'ang'a, Jason M. Mkenyeleye   +3 more
wiley   +1 more source

Coupled heat and mass transfer in reactive parallel‐plate flow: A perturbative Graetz model with modal symmetry and Arrhenius kinetics

The Canadian Journal of Chemical Engineering, EarlyView.
A perturbative Graetz model describes coupled heat and mass transfer in reactive Couette–Poiseuille flow between parallel plates. Viscous dissipation and heat of reaction produce a small temperature rise, which enhances Arrhenius reaction rates and modestly accelerates axial species conversion in the small‐Brinkman‐number regime.
Leonardo Damián Soria Rodríguez, Anthony Albert Harrup Gutiérrez   +1 more
wiley   +1 more source

Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr, Alessandro Pisano, Stefan Koch, Markus Reichhartinger   +3 more
wiley   +1 more source

Feedback Linearisation with State Constraints

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
wiley   +1 more source

A Detailed and Comprehensive Account of Fractional Physics‐Informed Neural Networks: From Implementation to Efficiency

Artificial Intelligence for Engineering, EarlyView.
Caputo‐based fPINNs accurately solve fractional ODEs and PDEs while exposing an accuracy–cost trade‐off driven by the history‐dependent fractional derivative. Temporal collocation and shorter time windows are the most effective strategies for improving early‐time accuracy without unnecessary spatial refinement.
Donya Dabiri, Joshua DaRosa, Milad Saadat, Deepak Mangal, Safa Jamali   +4 more
wiley   +1 more source

Fault‐Tolerant Fuzzy Boundary Control for Nonlinear Distributed Parameter Systems Under Limited Measurements and Markovian Failures

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li, Kaibo Shi, Yue Yu, Xiangkun Wang, Ming Zhu, Xiao Cai   +5 more
wiley   +1 more source