Riemann-invariant solutions of the isentropic fluid flow equations

R. Conte; A. M. Grundland; B. Huard

doi:10.1007/s11232-009-0063-x

Riemann-invariant solutions of the isentropic fluid flow equations

R. Conte^*, A. M. Grundland, B. Huard

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	752-762
Number of pages	11
Journal	Theoretical and Mathematical Physics
Volume	159
Issue number	3
DOIs	https://doi.org/10.1007/s11232-009-0063-x
Publication status	Published - 1 Jun 2009
Externally published	Yes

Keywords

Conditional symmetry method
Rank-k solution
Riemann invariant
System of hydrodynamic type

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10.1007/s11232-009-0063-x

Cite this

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title = "Riemann-invariant solutions of the isentropic fluid flow equations",

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.",

keywords = "Conditional symmetry method, Rank-k solution, Riemann invariant, System of hydrodynamic type",

author = "R. Conte and Grundland, {A. M.} and B. Huard",

note = "Funding Information: This work was supported in part by the NSERC of Canada.",

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AU - Conte, R.

AU - Grundland, A. M.

AU - Huard, B.

N1 - Funding Information: This work was supported in part by the NSERC of Canada.

PY - 2009/6/1

Y1 - 2009/6/1

N2 - 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.

AB - 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.

KW - Conditional symmetry method

KW - Rank-k solution

KW - Riemann invariant

KW - System of hydrodynamic type

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DO - 10.1007/s11232-009-0063-x

M3 - Article

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SP - 752

EP - 762

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

IS - 3

ER -

Riemann-invariant solutions of the isentropic fluid flow equations

Abstract

Keywords

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