Analytical blow-up solutions to Euler equations
Baoquan Yuan
Abstract
Baoquan Yuan
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.
Key concepts: Euler equations, Semi-implicit Euler method, Backward Euler method, Euler method, Mathematics, Euler's formula, Isothermal process, Ordinary differential equation