Application of the homomorphism theorem for rings to linearization of systems of partial differential equations

DOI10.1007/S10958-021-05384-5zbMath1466.35006OpenAlexW3162920874WikidataQ115382153 ScholiaQ115382153MaRDI QIDQ2027461

T. A. Lomonosov

Publication date: 27 May 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05384-5

zbMATH Keywords

linearization at constant solutionsquasigasdynamic system.ring of linearized functionsring of special matrices

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Theoretical approximation in context of PDEs (35A35) Geometric theory, characteristics, transformations in context of PDEs (35A30) Systems of nonlinear higher-order PDEs (35G50)

Uses Software

• QHDFoam

Cites Work

• \(L^2\)-dissipativity of the linearized explicit finite-difference scheme with a kinetic regularization for 2D and 3D gas dynamics system of equations
• Quasi-Gas Dynamic Equations
• Unnamed Item

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