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Quasiperiodic Solutions in Weakly Nonlinear Gas Dynamics. Part I. Numerical Results in the Inviscid Case

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We exhibit and study a new class of solutions for the one‐dimensional inviscid Euler equations of Gas Dynamics in a bounded domain with reflecting boundary conditions, in the weakly nonlinear regime. These solutions do not present the usual wave breaking leading to shock formation, even though they have nontrivial acoustic components and operate in the nonlinear regime. We also show that these ‘Non Breaking for All Times’ (NBAT) solutions are globally attracting for the long time evolution of the equations.
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Document Type: Original Article

Affiliations: 1: Courant Institute of Mathematical Sciences, New York University, New York, NY 2: Massachusetts Institute of Technology, Cambridge

Publication date: November 1, 1999

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