A Nash-Moser framework for finding periodic solutions of the compressible Euler equations
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Publication:887007
DOI10.1007/s10915-014-9851-zzbMath1432.76210OpenAlexW1973192172MaRDI QIDQ887007
Robin L. Young, J. Blake Temple
Publication date: 27 October 2015
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-014-9851-z
Spectral methods applied to problems in fluid mechanics (76M22) Soliton equations (35Q51) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
- Unnamed Item
- A Liapunov-Schmidt reduction for time-periodic solutions of the compressible Euler equations
- Compressible fluid flow and systems of conservation laws in several space variables
- A paradigm for time-periodic sound wave propagation in the compressible Euler equations
- \(L^1\) stability estimates for \(n\times n\) conservation laws
- The unique limit of the Glimm scheme
- The large time stability of sound waves
- Time-Periodic Linearized Solutions of the Compressible Euler Equations and a Problem of Small Divisors
- A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
- Convergence of Spectral Methods for Nonlinear Conservation Laws
- Formation of singularities in one-dimensional nonlinear wave propagation
- Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation laws
- Sup‐norm stability for Glimm's scheme
- Solutions in the large for nonlinear hyperbolic systems of equations
- Decay of solutions of systems of nonlinear hyperbolic conservation laws
