Exact solutions to 2D isothermal Euler-Poisson equations with qualitative analysis

In this paper, we study the cylindrically symmetric compressible isothermal Euler-Poisson equations of gaseous stars with a negative cosmological constant. By using some ansatzs, we construct a family of analytical periodic solutions to the system, which partially complements the result in [2009 Class. Quantum Grav. 26 235011], where a family of analytical periodic solutions to the system with spherical symmetry were given for the adiabatic exponent γ = 4/3. Our result may provide an explanation about the dynamical evolution of the cylindrically symmetric galaxies or interstellar clouds.

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Analytical solutions to the isentropic Euler system with the logarithmic equation of state

Lou,

Dong

2023

Mod. Phys. Lett. A

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In this paper, we study the analytical solutions to the isentropic Euler system with the logarithmic equation of state, which has been introduced for the dark energy fluid to investigate the dynamical evolution of a late-time universe. By using some ansatz, we construct some analytical solutions for one-dimensional case, [Formula: see text]-dimensional radially symmetric case and three-dimensional cylindrically symmetric case, respectively. The concentration and cavitation phenomena are investigated and some global analytical solutions are obtained under some conditions.

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Exact solutions to 2D isothermal Euler-Poisson equations with qualitative analysis

Cited by 3 publications

References 10 publications

Self-consistent plasma boundary distortions during the interaction of a normally incident electromagnetic beam with a nonlinear surface charge

Self-consistent plasma boundary distortions during the interaction of a normally incident electromagnetic beam with a nonlinear surface charge

Analytical solutions to the cylindrically symmetric compressible isothermal Euler–Poisson equations of galaxies

Analytical solutions to the isentropic Euler system with the logarithmic equation of state

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