Existence, Uniqueness, and Numerical Modeling of Wine Fermentation Based on Integro-Differential Equations

DOI10.1137/20M1362309zbMath1504.35588arXiv2104.06777OpenAlexW3155784126WikidataQ115246883 ScholiaQ115246883MaRDI QIDQ5094399

Christina Schenk, Volker H. Schulz

Publication date: 3 August 2022

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06777

zbMATH Keywords

finite volume methodexistence and uniquenessnumerical modelingpopulation balance modelwine fermentationweakly hyperbolic partial integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) General theory of topological algebras with involution (46K05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Integro-partial differential equations (35R09) Finite volume methods for boundary value problems involving PDEs (65N08)

Uses Software

• Matlab

Cites Work

• Analytical and numerical investigations of a batch crystallization model
• Semigroups of linear operators and applications to partial differential equations
• Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations
• Solving Ordinary Differential Equations II
• Numerische Behandlung gewöhnlicher und partieller Differenzialgleichungen
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