Low Mach number limit on thin domains

DOI10.1088/1361-6544/ab52dfzbMath1433.35261arXiv1901.09530OpenAlexW3000389104MaRDI QIDQ5207760

Matteo Caggio, Yongzhong Sun, Donatella Donatelli, Šarka Matušú-Nečasová

Publication date: 13 January 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09530

zbMATH Keywords

dimension reductionvanishing viscositylow Mach number limitcompressible Navier-Stokes system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (6)

Global solutions to 2D compressible isothermal Navier-Stokes equations on thin domains ⋮ Inhomogeneous incompressible Navier-Stokes equations on thin domains ⋮ On singular limit for the compressible Navier-Stokes system with non-monotone pressure law ⋮ Low Mach and thin domain limit for the compressible Euler system ⋮ Inviscid incompressible limit for compressible micro-polar fluids ⋮ Incompressible limit on thin domains with periodic boundary condition

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