Critical thresholds in one-dimensional damped Euler–Poisson systems

DOI10.1142/S0218202520500189zbMath1453.35145arXiv1907.09039OpenAlexW3008028524MaRDI QIDQ5128710

Manas Bhatnagar, Hai-liang Liu

Publication date: 23 October 2020

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09039

zbMATH Keywords

global regularityEuler-Poisson systemcritical threshold

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Solutions to PDEs in closed form (35C05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (13)

Threshold phenomenon in n-dimensional repulsive restricted Euler–Poisson equations with time-dependent damping ⋮ On the Riccati dynamics of 2D EulerPoisson equations with attractive forcing ⋮ Global classical solutions near vacuum to the initial-boundary value problem of isentropic flows through divergent ducts ⋮ Critical thresholds in the Euler-Poisson-alignment system ⋮ On the behavior of multidimensional radially symmetric solutions of the repulsive Euler-Poisson equations ⋮ Global existence of classical solutions for the gas flows near vacuum through ducts expanding with space and time ⋮ Blow up for the solutions of the pressureless Euler–Poisson equations with time‐dependent damping ⋮ The pressureless damped Euler-Riesz equations ⋮ Well-posedness and critical thresholds in a nonlocal Euler system with relaxation ⋮ Mean-field limits: from particle descriptions to macroscopic equations ⋮ Large friction limit of pressureless Euler equations with nonlocal forces ⋮ Sharp critical thresholds in a hyperbolic system with relaxation ⋮ Critical thresholds in 1D pressureless Euler-Poisson systems with variable background

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