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Boundary Effect Under 2D Newtonian Gravity Potential in the Phase Space

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Abstract

We study linear two-and-a-half-dimensional Vlasov equations under the logarithmic gravity potential in the half-space of diffuse reflection boundary. We prove decay-in-time of the exponential moments with a polynomial rate, which depends on the base logarithm.

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Acknowledgements

This project is partly supported by NSF-CAREER 2047681, Brain Pool fellowship, and Simons fellowship.

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Correspondence to Chanwoo Kim.

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Jin, J., Kim, C. Boundary Effect Under 2D Newtonian Gravity Potential in the Phase Space. La Matematica (2024). https://doi.org/10.1007/s44007-024-00097-y

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  • DOI: https://doi.org/10.1007/s44007-024-00097-y

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