2011Journal of Shandong UniversityRequires access

Analytical blow-up solutions to Euler equations

Baoquan Yuan

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Abstract

A family of analytical solutions to N dimensional isothermal Euler equations and pressure-less Euler equations with frictional damping are constructed by solving a second order ordinary differential equation.Especially,the solutions may blow up at a finite time T.

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A family of analytical solutions to N dimensional isothermal Euler equations and pressure-less Euler equations with frictional damping are constructed by solving a second order ordinary differential equation.Especially,the solutions may blow up at a finite time T.

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Available abstract

A family of analytical solutions to N dimensional isothermal Euler equations and pressure-less Euler equations with frictional damping are constructed by solving a second order ordinary differential equation.Especially,the solutions may blow up at a finite time T.

Key concepts: Euler equations, Semi-implicit Euler method, Backward Euler method, Euler method, Mathematics, Euler's formula, Isothermal process, Ordinary differential equation

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