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