Abstract In this paper we consider electro–reaction–diffusion systems modelling the transport of charged species in two–dimensional heterostructures. Our aim is to investigate the case that besides of reactions with source terms of at most second order so called cluster reactions of higher order ...
Worst-case Analysis of Distributed Parameter Systems with Application to the 2D Reaction-Diffusion Equation. Optim. Contr. Appl. Met., 31, 433-449.Kishida, M., Braatz, R.D.: `Worst-case analysis of distributed param- eter systems with application to the 2D reaction-diffusion equation', ...
Reaction–diffusion systems, which Turing initiated, follow one of two types: continuous or discrete. Reaction–diffusion systems that are discrete systems typically have cells and lattice coupling through their membranes via mass transfer. Hence, when compared to the continuous ones, they can be ...
Nonlinear Reaction-Diffusion Systems; Springer: Berlin/Heidelberg, Germany, 2017. [Google Scholar] PolyaninA.D.ZaitsevV.F.Handbook of Exact Solutions for Ordinary Differential Equations; Chapman & Hall/CRC Press: Boca Raton, FL, USA, 2003. Wang, X.Y. Exact and explicit solitary wave solutions ...
Nonlinear Reaction-Diffusion Systems; Springer: Berlin/Heidelberg, Germany, 2017. [Google Scholar] PolyaninA.D.ZaitsevV.F.Handbook of Exact Solutions for Ordinary Differential Equations; Chapman & Hall/CRC Press: Boca Raton, FL, USA, 2003. Wang, X.Y. Exact and explicit solitary wave solutions ...
Unlike traditional numerical methods that rely on explicit mathematical models, operator learning involves learning the mapping between inputs and outputs to automatically discover and represent operators or transformations, thereby enabling the handling of complex systems and dynamic processes. Among the ...
optical controlphotoswitchespattern formationsynthetic biologyPatterns formed by reaction and diffusion are the foundation for many phenomena in biology. However, the experimental study of reaction–diffusion (R–D) systems has so far been dominated by chemical oscillators, for which many tools are ...
The results provide a guideline for the design and implementation of self-healing systems based on BMI solution encapsulation. The healing of a furan-functional epoxy thermoset coating using bismaleimide (BMI) solutions is demonstrated. He...
Statement (c) is a necessary condition of living systems [11]. This work is conducted using mathematic and simulation tools; nevertheless, qualitative explanations are offered regularly. Analytic or computational models for environments and prebiotic processes are broadly mentioned and, in this sense, ...
reaction–diffusion systems; origin of life; configuration entropy; fractal dimensions1. Introduction The origin of life was a chemical event and life on Earth began some billions of years ago [1,2] and, what is more, the definition of life presents an intricate question [3,4]. Nevertheless...