Results 51 to 60 of about 1,940 (229)
On partial differential equations of Waring's-problem form in several complex variables
, 2023 In this paper, we first consider the pseudoprimeness of meromorphic solutions $u$ to a family of partial differential equations (PDEs) $H(u_{z_1},u_{z_2},\ldots,u_{z_n})=P(u)$ of Waring's-problem form, where $H(z_1,z_2,\ldots,z_n)$ is a nontrivial ...
Han, Qi
core
Biotechnology and Bioengineering, EarlyView.ABSTRACT Oxygen supply is a critical parameter in 3D cell cultivation using bioreactors. Since bioreactor designs often prioritise practical constraints, understanding the oxygen supply dynamics of the media is crucial for achieving either uniform or spatially controlled oxygen delivery.
Franziska Alt +4 more
wiley +1 more source
Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation
, 2014 We prove optimal lower bounds for the growth of the energy over balls of minimizers to the vectorial Allen-Cahn energy in two spatial dimensions, as the radius tends to infinity. In the case of radially symmetric solutions, we can prove a stronger result
Sourdis, Christos
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Form of solutions to quadratic trinomial partial differential equations with two complex variables
This article describes the from of entire solutions to quadratic trinomial partial differential equations (PDEs). By applying the Nevanlinna theory and the characteristic equation of PDEs, we extend some of the results obtained in [24].
Tu, Jin, Wei, Huizhen
core +1 more source
Space-time error estimates for deep neural network approximations for differential equations
, 2023 Over the last few years deep artificial neural networks (ANNs) have very successfully been used in numerical simulations for a wide variety of computational problems including computer vision, image classification, speech recognition, natural language ...
Hornung, Fabian +4 more
core +1 more source
Optimization of 3D‐Printed Structured Packings—Current State and Future Developments
Chemie Ingenieur Technik, EarlyView.This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke +3 more
wiley +1 more source
Title on signature form: On bounded entire solutions to semilinear PDEs
, 2017 Access to thesis permanently restricted to Ball State community onlyAccess to abstract permanently restricted to Ball State community onlyThesis (M.S.)Department of Mathematical SciencesPreliminaries -- Entire radial solutions of [delta]v = -b(|x|)f(v) --
Alalhareth, Fawaz Kharhan
core
, 2018 Wong–Zakai type approximation for stochastic partial differential equations (abbreviate as PDEs) is well studied. Besides the polygonal approximation, a type of smooth noise approximation is considered.
Xianming Liu +3 more
core +1 more source
An Analytical Design Model of a Vacuum Pressure Swing Adsorption Process for Biogas Upgrading
Chemie Ingenieur Technik, EarlyView.A steady‐state model was developed for a vacuum pressure swing adsorption (VPSA) process comprising adsorption, depressurization, and evacuation steps. The resulting analytical plant design model provides the optimal adsorber height required to achieve a target product purity with maximum bed utilization.
Thomas Welter +3 more
wiley +1 more source
The Canadian Journal of Chemical Engineering, EarlyView.Abstract This work presents a simplified extended‐batch adsorber analogue model (e‐BAAM) to quantify key performance metrics such as purity, recovery, and energy trends for various pressure swing adsorption (PSA) process cycles for CO2$$ {\mathrm{CO}}_2 $$ capture.
Gwyneth Liske, Arvind Rajendran
wiley +1 more source