A Global Weak Solution via Transport-Projection Scheme to a Thin Film Growth Kinetic Model with Nonlocal Boundary Conditions

DOI10.1137/S0036142900367442zbMath1014.65078MaRDI QIDQ4539395

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Publication date: 8 July 2002

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergencenumerical exampleserror boundscoagulationglobal weak solutiongrowth processesnonlinear transport equationHelly compactnesstransport-projection schemethin film growth kinetics

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Transport processes in time-dependent statistical mechanics (82C70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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