Supplement to: ``Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in \(\mathbb{R}^N\)

DOI10.1016/j.cnsns.2012.10.001zbMath1440.35260OpenAlexW2095062915WikidataQ59292175 ScholiaQ59292175MaRDI QIDQ390679

Manwai Yuen, Hong-Li An

Publication date: 8 January 2014

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.10.001

zbMATH Keywords

Navier-Stokes equationsEuler equationsexact solutionscharacteristic methodelliptic symmetryperturbational solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (4)

Perturbational self-similar solutions for the 2-component Degasperis--Procesi system via a characteristic method ⋮ Explicitly self-similar solutions for the Euler/Navier-Stokes-Korteweg equations in \(R^N\) ⋮ Drifting solutions with elliptic symmetry for the compressible Navier-Stokes equations with density-dependent viscosity ⋮ Similarity reductions and new nonlinear exact solutions for the 2D incompressible Euler equations

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