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Riemann-invariant solutions of the isentropic fluid flow equations

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Abstract

We use a new version of the conditional symmetry method to obtain rank-k solutions expressed in terms of Riemann invariants of the isentropic compressible ideal fluid flow in 3+1 dimensions. We describe the procedure for constructing bounded solutions in terms of the elliptic Weierstrass p-function in detail.

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Authors and Affiliations

  1. LRC MESO, École Normale Supérieure de Cachan (CMLA) et CEA-DAM, Cachan Cedex, France

    R. Conte

  2. Service de Physique de l’État Condensé (URA 2464), CEA-Saclay, Gif-sur-Yvette Cedex, France

    R. Conte

  3. Centre de Recherches Mathématiques, Université de Montréal, Montreal, Quebec, Canada

    A. M. Grundland

  4. Université du Québec, Trois-Rivières, Quebec, Canada

    A. M. Grundland

  5. Département de Mathématiques et de Statistique, Université de Montréal, Montreal, Quebec, Canada

    B. Huard

Authors
  1. R. Conte
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  2. A. M. Grundland
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  3. B. Huard
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Corresponding author

Correspondence to R. Conte.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 159, No. 3, pp. 399–410, June, 2009.

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Conte, R., Grundland, A.M. & Huard, B. Riemann-invariant solutions of the isentropic fluid flow equations. Theor Math Phys 159, 752–762 (2009). https://doi.org/10.1007/s11232-009-0063-x

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  • DOI: https://doi.org/10.1007/s11232-009-0063-x

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