CONVERGENCE AND ERROR ESTIMATES OF TWO ITERATIVE METHODS FOR THE STRONG SOLUTION OF THE INCOMPRESSIBLE KORTEWEG MODEL

DOI10.1142/S0218202509003929zbMath1181.35193OpenAlexW2025113209MaRDI QIDQ3647606

Francisco Guillén-González, Maria Angeles Rodríguez-Bellido

Publication date: 23 November 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202509003929

zbMATH Keywords

convergenceiterative methodstrong solutionBanach's fixed point theoremKorteweg modela priori and a posteriori error estimatesCauchy's sequence

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Strong solutions to PDEs (35D35)

Cites Work

• Local strong solution for the incompressible Korteweg model
• Approximation by an iterative method for regular solutions for incompressible fluids with mass diffusion
• Modelling of Miscible Liquids with the Korteweg Stress
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• Existence of solutions for compressible fluid models of Korteweg type

This page was built for publication: CONVERGENCE AND ERROR ESTIMATES OF TWO ITERATIVE METHODS FOR THE STRONG SOLUTION OF THE INCOMPRESSIBLE KORTEWEG MODEL