Results 101 to 110 of about 644,555 (334)

Solving reaction-diffusion equations 10 times faster [PDF]

, 2003
The most popular numerical method for solving systems of reaction-diffusion equations continues to be a low order finite-difference scheme coupled with low order Euler time stepping.
Kassam, Aly-Khan
core   +1 more source

Weak-strong uniqueness of solutions to entropy-dissipating reaction-diffusion equations

, 2017
We establish a weak-strong uniqueness principle for solutions to entropy-dissipating reaction-diffusion equations: As long as a strong solution to the reaction-diffusion equation exists, any weak solution and even any renormalized solution must coincide ...
Alexandre, Alexandre, Bothe, Canizo, Caputo, Dal Maso, Desvillettes, Desvillettes, Desvillettes, Desvillettes, Desvillettes, DiPerna, DiPerna, DiPerna, Feinberg, Feireisl, Feireisl, Fiebach, Fischer, Gajewski, Gajewski, Glitzky, Goudon, Julian Fischer, Kräutle, Laamri, Liero, Liero, Mielke, Mielke, Mincheva, Murat, Pierre, Pierre, Pierre, Pierre, Schuster, Villani   +37 more
core   +1 more source

Intermolecular Interactions as Driving Force of Increasing Multiphoton Absorption in a Perylene Diimide‐Based Coordination Polymer

Advanced Functional Materials, EarlyView.
This study uncovers the unexplored role of intermolecular interactions in multiphoton absorption in coordination polymers. By analyzing [Zn2tpda(DMA)2(DMF)0.3], it shows how the electronic coupling of the chromophores and confinement in the MOF enhance two‐and three‐photon absorption.
Simon Nicolas Deger, Anna Mauri, Yang Cui, Sebastian Josef Weishäupl, Ali Deniz Özdemir, Hamad Syed, Aleksandr Ovsianikov, Wolfgang Wenzel, Alexander Pöthig, Jürgen Hauer, Mariana Kozlowska, Roland Augustinus Fischer   +11 more
wiley   +1 more source

Homogenization of reaction-diffusion equations in fractured porous media

Electronic Journal of Differential Equations, 2015
The article studies the homogenization of reaction-diffusion equations with large reaction terms in a multi-scale porous medium. We assume that the fractures and pores are equidistributed and that the coefficients of the equations are periodic.
Hermann Douanla, Jean Louis Woukeng
doaj  

Application of operator splitting to solve reaction-diffusion equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
Approximate solutions of systems of semilinear ordinary differential equations obtained by different splitting methods are investigated. The local error in the numerical solution of such semilinear problems is evaluated.
T. Ladics
doaj   +1 more source

Asymptotic scaling symmetries for nonlinear PDEs

, 2005
In some cases, solutions to nonlinear PDEs happen to be asymptotically (for large $x$ and/or $t$) invariant under a group $G$ which is not a symmetry of the equation.
Gaeta, G., Mancinelli, R.
core   +1 more source

A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance

Journal of Computational Physics, 2021
Chun Liu, Cheng Wang, Yiwei Wang
semanticscholar   +1 more source

Understanding and Optimizing Li Substitution in P2‐Type Sodium Layered Oxides for Sodium‐Ion Batteries

Advanced Functional Materials, EarlyView.
This work explores Li‐substituted P2 layered oxides for Na‐ion batteries by crystallographic and electrochemical studies. The effect of lithium on superstructure orderings, on phase transitions during synthesis and electrochemical cycling and on the interplay of O‐ versus TM‐redox is revealed via various advanced techniques, including semi‐simultaneous 
Mingfeng Xu, Giovanni Gammaitoni, Michael Häfner, Eduardo Villalobos‐Portillo, Carlo Marini, Matteo Bianchini   +5 more
wiley   +1 more source

Reaction-diffusion systems with 1-homogeneous non-linearity

Electronic Journal of Differential Equations, 2002
We describe the dynamics of a system of two reaction-diffusion equations with 1-homogeneous non-linearity. We show that either an order-preserving property holds and can be used in order to determine the limiting behaviour in some (invariant) sets or the
Matthias Bueger
doaj  

Novel analytical expression of concentrations of redox components in the new autocatalytic mechanism: The hyperbolic function method

Partial Differential Equations in Applied Mathematics
A theoretical study of the new autocatalytic mechanisms (EC″) for irreversible homogeneous reaction on diffusion layer for steady-state conditions is provided.
G. Yokeswari, I. Paulraj Jayasimman, L. Rajendran, M.E.G. Lyons   +3 more
doaj   +1 more source