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December 22, 2025Open Access

Low Regularity Well-Posedness of Cauchy Problem for Two-Dimensional Relativistic Euler Equation

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HZHuali ZhangHunan University

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Implication

This work demonstrates global well-posedness in the low-regularity setting for the two-dimensional relativistic Euler equations, indicating implications for solution existence.

Key Points

To investigate the Cauchy problem for the two-dimensional relativistic Euler equations in a low-regularity setting.
Introduced good variables including rescaled velocity, logarithmic enthalpy, and vorticity.
Reformulated equations into a coupled wave-transport system.
Applied Strichartz estimates and semiclassical analysis to prove results.
Established existence and uniqueness of solutions under specific initial conditions.
Demonstrated global well-posedness for solutions based on the state function and regularity of initial data.

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Huali Zhang (2025) studied this question.

synapsesocial.com/papers/69488bc877063b71e748cf0d https://doi.org/10.48550/arxiv.2512.16090

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Implication

This work demonstrates global well-posedness in the low-regularity setting for the two-dimensional relativistic Euler equations, indicating implications for solution existence.

Low Regularity Well-Posedness of Cauchy Problem for Two-Dimensional Relativistic Euler Equation

Discussion

Member takes

Implication

Key Points

Cite This Study

Low Regularity Well-Posedness of Cauchy Problem for Two-Dimensional Relativistic Euler Equation

Discussion

Member takes

Implication

Key Points

Cite This Study

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