Results 31 to 40 of about 313,499 (335)

New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. II

, 2006
In the first part of this paper math-ph/0612078, a complete description of Q-conditional symmetries for two classes of reaction-diffusion-convection equations with power diffusivities is derived.
Ames W F, Arrigo D J, Bluman G W, Cherniha R, Cherniha R Pliukhin O, Cherniha R Serov M, Dixon J M, Fitzhugh R, Fushchych W I, Fushchych W I, Fushchych W I, Gandarias M L, Kamke E, Kolmogoroff A, Levi D, Murray J D, Murray J D, Nucci M C, Oleksii Pliukhin, Oliveira-Pinto F, Ovsiannikov L V, Polyanin A D, Pucci E, Roman Cherniha, Saccomandi G   +24 more
core   +3 more sources

Diffusion-reaction modelling of the degradation of oil-well cement exposed to carbonated brine [PDF]

, 2017
The essential aspects of a diffusion-reaction model in development for the degradation process of oil-well cement exposed to carbonated brine are presented in this paper.
Carol, Ignacio, Llaudat, J., López, C.M., Martínez, A.   +3 more
core   +1 more source

On a Nonlinear System of Reaction-Diffusion Equations

Nonlinear Analysis, 2006
The aim of this article is to study the existence of positive weak solution for a quasilinear reaction-diffusion system with Dirichlet boundary conditions,    − div |∇u1| p1−2∇u1 = λuα11 1 u α12 2 ...
G. A. Afrouzi, S. H. Rasouli
doaj   +1 more source

Asymptotic behaviour of reversible chemical reaction-diffusion equations [PDF]

, 2010
We investigate the asymptotic behavior of the a large class of reversible chemical reaction-diffusion equations with the same diffusion. In particular we prove the optimal rate in two cases : when there is no diffusion and in the classical "two-by-two ...
Gentil, Ivan, Zegarlinski, Boguslaw
core   +4 more sources

Attractor of reaction-diffusion equations in Banach spaces

Applied General Topology, 2001
In this paper we prove first some abstract theorems on existence of global attractors for differential inclusions generated by w-dissipative operators. Then these results are applied to reaction-diffusion equations in which the Babach space Lp is used as
José Valero
doaj   +1 more source

Simulation of reaction-diffusion processes in three dimensions using CUDA [PDF]

, 2010
Numerical solution of reaction-diffusion equations in three dimensions is one of the most challenging applied mathematical problems. Since these simulations are very time consuming, any ideas and strategies aiming at the reduction of CPU time are ...
Alexandrov, Anderson, Belleman, Block, Buluc, Castano-Diez, Castets, Che, Costello, Cross, Dabdub, Epstein, Ferenc Izsák, Ferenc Molnár, Ford, Fowler, Garland, Gutiérrez, Horváth, Horváth, Horváth, Huang, István Lagzi, Januszewski, Komatitsch, Komatitsch, Lagzi, Lagzi, Lagzi, Lagzi, Lengyel, Li, Liu, Liu, Lovas, Martin, Melchionna, Micikevicius, Molnár, Nakamasu, NVIDIA Corporation, Owens, Preis, Pápai, Rácz, Róbert Mészáros, Sainio, Sanderson, Sanna, Sanna, Schmidt, Senocak, Shoji, Shoji, Simek, Stone, Stone, Sultan, Volford, Volford, Walsh   +60 more
core   +3 more sources

Waveform relaxation for reaction–diffusion equations

Journal of Computational and Applied Mathematics, 2011
The authors propose a new waveform relaxation algorithm for general semi-linear reaction-diffusion equations. Compared with the classical waveform relaxation algorithm, the new one has two advantages: the first one is that the system is not decomposed into sub-systems; the second one is represented by the fact that the convergence rate of the new ...
Jun Liu 0064, Yao-Lin Jiang
openaire   +2 more sources

Effects of the Fluid Replacement Method During Online Hemodiafiltration on the Solute Removal Performance and Biocompatibility Using the Asymmetric Cellulose Triacetate Membrane

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Pre‐dilution online hemodiafiltration (Pre‐HDF) is predominantly used in Japan, whereas post‐dilution online HDF (Post‐HDF) is more common in Europe. An asymmetric cellulose triacetate (ATA) membrane may improve biocompatibility.
Kenji Sakurai, Yoshitaka Kurihara, Fumi Yamauchi, Hiromi Hosoya, Takeshi Saito   +4 more
wiley   +1 more source

On Nonlinear Nonlocal Systems of Reaction Diffusion Equations

Abstract and Applied Analysis, 2014
The reaction diffusion system with anomalous diffusion and a balance law ut+-Δα/2u=-fu,v,   vt+-∆β/2v=fu,v ...
B. Ahmad, M. S. Alhothuali, H. H. Alsulami, M. Kirane, S. Timoshin   +4 more
doaj   +1 more source

Instability of Turing patterns in reaction-diffusion-ODE systems

, 2016
The aim of this paper is to contribute to the understanding of the pattern formation phenomenon in reaction-diffusion equations coupled with ordinary differential equations.
Karch, Grzegorz, Marciniak-Czochra, Anna, Suzuki, Kanako   +2 more
core   +1 more source