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On the existence, linearity and stability of electrostatic hole structures in the Vlasov–Poisson plasma from the perspective of its three velocity-separated evolution equations

Crossref DOI link: https://doi.org/10.1007/s41614-025-00208-4

Published Online: 2025-12-06

Update policy: https://doi.org/10.1007/springer_crossmark_policy

Authors

Schamel, Hans https://orcid.org/0000-0003-2486-9547
Pelinovsky, Efim

Flamarion, Marcelo V.
Funding

Funding for this research was provided by:

Universität Bayreuth
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Text and Data Mining valid from 2025-12-06

Version of Record valid from 2025-12-06
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Article History

Received: 9 April 2025

Accepted: 21 November 2025

First Online: 6 December 2025

Change Date: 24 December 2025

Change Type: Update

Change Details: In this article, the prime symbol (') was missing in the derivative Zr'(x) and has now been corrected.

Change Date: 8 February 2026

Change Type: Correction

Change Details: A Correction to this paper has been published:

Change Details: https://doi.org/10.1007/s41614-025-00210-w

Declarations

:

: The authors declare that they have no conflict of interest.

Updates are available Correction dated 2026-02-08

Click to view Correction: https://doi.org/10.1007/s41614-025-00210-w