Results 11 to 20 of about 100,249 (259)

Modeling and analysis of a phase field system for damage and phase separation processes in solids [PDF]

, 2013
In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an elliptic system ...
Bonetti, Elena, Heinemann, Christian, Kraus, Christiane, Segatti, Antonio   +3 more
core   +3 more sources

Spectral Methods for Nonlinear Parabolic Systems [PDF]

Journal of Computational Physics, 1995
Nonlinear parabolic systems of partial differential equations are considered. Periodic boundary conditions are assumed for convenience. The method combines stiff extrapolation with fast spectral solvers for elliptic systems. Highly accurate methods such as spectral methods are described and implemented.
openaire   +3 more sources

Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity [PDF]

, 2012
Existence and uniqueness are investigated for a nonlinear diffusion problem of phase-field type, consisting of a parabolic system of two partial differential equations, complemented by Neumann homogeneous boundary conditions and initial conditions.
Barbu, Bonetti, Bonetti, Brezis, Coleman, Colli, Colli, Colli, Colli, Colli, Colli, Colli, Denk, Fried, Frémond, Gianni Gilardi, Grasselli, Gurtin, Jürgen Sprekels, Miranville, Paolo Podio-Guidugli, Pierluigi Colli, Podio-Guidugli, Rossi, Simon   +24 more
core   +3 more sources

A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation

Abstract and Applied Analysis, 2015
The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
doaj   +1 more source

Global existence for a hydrogen storage model with full energy balance [PDF]

, 2011
A thermo-mechanical model describing hydrogen storage by use of metal hydrides has been recently proposed in a paper by Bonetti, Fr\'emond and Lexcellent. It describes the formation of hydrides using the phase transition approach.
Bonetti, Elena, Colli, Pierluigi, Laurençot, Philippe   +2 more
core   +4 more sources

A numerical solution of parabolic quasi-variational inequality nonlinear using Newton-multigrid method [PDF]

Iranian Journal of Numerical Analysis and Optimization
In this article, we apply three numerical methods to study the L∞-convergence of the Newton-multigrid method for parabolic quasi-variational inequalities with a nonlinear right-hand side.
M. Bahi, M. Beggas, N. Nesba, A. Imtiaz
doaj   +1 more source

On a nonlinear parabolic system arising in modelling of a catalytic cracking reactor

Partial Differential Equations in Applied Mathematics, 2021
In this paper, the existence and uniqueness of weak solutions is established for a nonlinear parabolic system arising in modelling of a catalytic cracking reactor.
E.H. Hassnaoui, A. Qadi El Idrissi
doaj   +1 more source

Modeling of spatialtemporal migration for closely related species [PDF]

Компьютерные исследования и моделирование, 2011
We consider a model of populations that are closely related and share a common areal. System of nonlinear parabolic equations is formulated that incorporates nonlinear diffusion and migration flows induced by nonuniform densities of population and ...
Alexander Vladimirovich Budyanski, Vyacheslav Geog Tsybulin   +1 more
doaj   +1 more source

Viscosity solutions of fully nonlinear parabolic systems

Journal of Mathematical Analysis and Applications, 2003
The authors prove the existence, uniqueness and continuity of viscosity solutions of the Cauchy-Dirichlet problem for weakly coupled, nonlinear, second order, degenerate parabolic equations. The proof uses the Perron method in combination with the technique of coupled sub and super viscosity solutions.
Liu, Weian, Yang, Yin, Lu, Gang
openaire   +3 more sources

POD Galerkin Schemes for Nonlinear Elliptic-Parabolic Systems [PDF]

SIAM Journal on Scientific Computing, 2013
In this paper the authors study a nonlinear elliptic-parabolic system, which is motivated by mathematical models for lithium ion batteries. For the reliable and fast numerical solution of the system a reduced-order approach based on proper orthogonal decomposition (POD) is applied.
Lass, Oliver, Volkwein, Stefan
openaire   +2 more sources