Exact solutions to Euler equation and Navier-Stokes equation (Q666621)

scientific article; zbMATH DE number 7033184

Language	Label	Description	Also known as
English	Exact solutions to Euler equation and Navier-Stokes equation	scientific article; zbMATH DE number 7033184

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instance of

scholarly article

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title

Exact solutions to Euler equation and Navier-Stokes equation (English)

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ZAMP. Zeitschrift für angewandte Mathematik und Physik

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publication date

6 March 2019

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zbMATH Keywords

Euler equation

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Navier-Stokes equation

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Lie symmetry analysis method

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Bäcklund transformation

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00033-019-1088-0

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cites work

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A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations

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Existence of weak solutions for the incompressible Euler equations

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Well-Posedness of the Free-Boundary Compressible 3-D Euler Equations with Surface Tension and the Zero Surface Tension Limit

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Global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity

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On the well-posedness of 2-D incompressible Navier-Stokes equations with variable viscosity in critical spaces

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On the global well-posedness for the compressible Navier-Stokes equations with slip boundary condition

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Q3995225

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Lump solutions to nonlinear partial differential equations via Hirota bilinear forms

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Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation

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Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation

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Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation

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Mixed lump-kink solutions to the KP equation

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Mixed lump-kink solutions to the BKP equation

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On a new Darboux transformation for the construction of exact solutions of the Schrodinger equation

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A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation

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Two integrable lattice hierarchies and their respective Darboux transformations

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EXACT SOLUTIONS FOR A DIRAC-TYPE EQUATION WITH N-FOLD DARBOUX TRANSFORMATION

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Exact solutions for the generalized KdV equation by using Bäcklund transformations

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Solitons, Bäcklund transformation, and Lax pair for the (2+1)-dimensional Boiti–Leon–Pempinelli equation for the water waves

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N-SOLITON-LIKE SOLUTIONS AND BÄCKLUND TRANSFORMATIONS FOR A NON-ISOSPECTRAL AND VARIABLE-COEFFICIENT MODIFIED KORTEWEG-DE VRIES EQUATION

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Residual symmetries, \(n\)th Bäcklund transformation and interaction solutions for (2+1)-dimensional generalized Broer-Kaup equations

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Exact solutions and Painlevé analysis of a new (2+1)-dimensional generalized KdV equation

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Painlevé analysis, Lie symmetries, and exact solutions for the time-dependent coefficients gardner equations

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The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

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Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions

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Classification and bifurcation of a class of second-order ODEs and its application to nonlinear PDEs

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Nonlocal symmetries and explicit solutions of the AKNS system

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CRE Solvability, Nonlocal Symmetry and Exact Interaction Solutions of the Fifth-Order Modified Korteweg-de Vries Equation

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Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equation

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A new note on a homogeneous balance method

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Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method

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The time-fractional mZK equation for gravity solitary waves and solutions using sech-tanh and radial basis function method

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Symmetry analysis and exact solutions of the \(2+1\) dimensional sine-Gordon system

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Lie symmetry analysis of the quantum Zakharov equations

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Lie symmetry analysis and exact explicit solutions for general Burgers' equation

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A new integrable symplectic map and the Lie point symmetry associated with nonlinear lattice equations

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Analytical research of (\(3+1\))-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach

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Bäcklund transformations, solitary waves, conoid waves and Bessel waves of the \((2+1)\)-dimensional Euler equation

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Vorticity and incompressible flow

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Identifiers

zbMATH Open document ID

1412.35243

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Mathematics Subject Classification ID

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10.1007/S00033-019-1088-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:666621