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This is a Quantitative Study study.

October 1, 2025Contemporary MathematicsOpen Access

Linear Stability Analysis of the Couette Flow for the Two Dimensional Non-Isentropic Euler-Poisson System

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Authors

XPXueke PuGuangzhou University XWXin WuShanghai University of Engineering Science LYLian Yang

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Implication

This analysis shows instability in density and temperature for the compressible Euler-Poisson system, indicating significant effects on velocity components.

Key Points

The analysis establishes Lyapunov type instability in the density and temperature fields, showing how perturbations behave over time.
Inviscid damping for the solenoidal component of the velocity field is demonstrated, indicating stability under certain conditions.
The study utilizes a rigorous mathematical framework focusing on the linear stability around Couette flow.
Findings may have implications for fluid dynamics in non-isentropic conditions, necessitating further research in this area.

Cite This Study

Pu et al. (2025) studied this question.

synapsesocial.com/papers/68dd89defe798ba2fc497b77 https://doi.org/10.37256/cm.6520256651

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Implication

This analysis shows instability in density and temperature for the compressible Euler-Poisson system, indicating significant effects on velocity components.

Linear Stability Analysis of the Couette Flow for the Two Dimensional Non-Isentropic Euler-Poisson System

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Member takes

Implication

Key Points

Cite This Study

Linear Stability Analysis of the Couette Flow for the Two Dimensional Non-Isentropic Euler-Poisson System

Discussion

Member takes

Implication

Key Points

Cite This Study

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