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20222026
most citedThe Lax-Wendroff theorem for Patankar-type methods applied to hyperbolic conservation laws

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math.NA2026

Convergence of a Finite Volume Scheme for the Navier-Stokes-Korteweg Model via Dissipative Solutions

Jan Giesselmann, Philipp Öffner, Robert Sauerborn

We propose a concept of dissipative weak (DW) solutions for the Navier-Stokes-Korteweg (NSK) system and prove conditional convergence of a structure-preserving finite volume scheme…