Group Classification of the System of Equations of Two-Dimensional Shallow Water over Uneven Bottom

Russian Journal of Mathematical Physics ◽

10.1134/s1061920820030012 ◽

2020 ◽

Vol 27 (3) ◽

pp. 277-298

Author(s):

A. V. Aksenov ◽

K. P. Druzhkov

Keyword(s):

Shallow Water ◽

Group Classification ◽

System Of Equations ◽

Two Dimensional ◽

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Complete group classification of the two-Dimensional shallow water equations with constant coriolis parameter in Lagrangian coordinates

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2020.105293 ◽

2020 ◽

Vol 89 ◽

pp. 105293 ◽

Author(s):

S.V. Meleshko

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

Group Classification ◽

Lagrangian Coordinates ◽

Two Dimensional ◽

Coriolis Parameter ◽

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Group classification of the two-dimensional shallow water equations with the beta-plane approximation of coriolis parameter in Lagrangian coordinates

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2020.105337 ◽

2020 ◽

Vol 90 ◽

pp. 105337

Author(s):

S.V. Meleshko ◽

N.F. Samatova

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

Group Classification ◽

Lagrangian Coordinates ◽

Two Dimensional ◽

Coriolis Parameter ◽

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Group classification of the two-dimensional Navier–Stokes-type equations

International Journal of Non-Linear Mechanics ◽

10.1016/s0020-7462(99)00046-3 ◽

2000 ◽

Vol 35 (4) ◽

pp. 627-644 ◽

Author(s):

J.M. Manale

Keyword(s):

Group Classification ◽

Navier Stokes ◽

Two Dimensional

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Group classification of the equations of two-dimensional motions of a gas

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(94)90138-4 ◽

1994 ◽

Vol 58 (4) ◽

pp. 629-635 ◽

Author(s):

S.V. Meleshko

Keyword(s):

Group Classification ◽

Two Dimensional

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Group classification of the two-dimensional equations of motion of a viscous heat-conducting perfect gas

Journal of Applied Mechanics and Technical Physics ◽

10.1007/bf02382422 ◽

1996 ◽

Vol 37 (2) ◽

pp. 170-176 ◽

Author(s):

V. V. Bublik

Keyword(s):

Equations Of Motion ◽

Group Classification ◽

Heat Conducting ◽

Two Dimensional ◽

Perfect Gas ◽

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Group classification of two-dimensional stable viscous gas equations

International Journal of Non-Linear Mechanics ◽

10.1016/s0020-7462(98)00028-6 ◽

1999 ◽

Vol 34 (3) ◽

pp. 449-456 ◽

Author(s):

S.V. Meleshko

Keyword(s):

Group Classification ◽

Two Dimensional ◽

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Group classification of two-dimensional steady viscous gas dynamics equations with arbitrary state equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/35/15/311 ◽

2002 ◽

Vol 35 (15) ◽

pp. 3515-3533 ◽

Author(s):

Sergey V Meleshko

Keyword(s):

Gas Dynamics ◽

Group Classification ◽

Two Dimensional ◽

State Equations ◽

Gas Dynamics Equations ◽

Arbitrary State ◽

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Symmetries and Conservation Laws of the Equations of Two-Dimensional Shallow Water Over Uneven Bottom

Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics - Understanding Complex Systems ◽

10.1007/978-3-030-50302-4_7 ◽

2020 ◽

pp. 113-163

Author(s):

A. V. Aksenov ◽

K. P. Druzhkov

Keyword(s):

Conservation Laws ◽

Shallow Water ◽

Two Dimensional ◽

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Application of a Limiterless Quasi Acoustic Scheme to Solve Two-Dimensional Shallow Water Equations with an Uneven Bottom

Computational Mathematics and Modeling ◽

10.1007/s10598-020-09474-y ◽

2020 ◽

Vol 31 (1) ◽

pp. 25-42

Author(s):

V. A. Isakov

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

Two Dimensional ◽

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Classification of non-singular manifolds in the space M (1,4) × R (u) invariant under respect one-and two-dimensional non-conjugte subalgebras of the Lie algebra of the Poincare group P (1,4)

Scientific Herald of Uzhhorod University Series Physics ◽

10.24144/2415-8038.2012.32.112-120 ◽

2012 ◽

Vol 32 (0) ◽

pp. 112-120

Author(s):

В. М. Федорчук ◽

В. І. Федорчук

Keyword(s):

Lie Algebra ◽

Two Dimensional ◽

Poincaré Group ◽

Poincare Group ◽

Singular Manifolds

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