This survey presents our recent results in Morando et al. 2023, where we establish the local-in-time existence and the nonlinear stability of current-vortex sheets in ideal compressible Magnetohydrodynamics, provided a suitable stability condition is satisfied at each point of the initial discontinuity.

Local Existence of 2D Compressible Current-Vortex Sheets

Alessandro Morando
;
Paolo Secchi;Paola Trebeschi;Difan Yuan
2024-01-01

Abstract

This survey presents our recent results in Morando et al. 2023, where we establish the local-in-time existence and the nonlinear stability of current-vortex sheets in ideal compressible Magnetohydrodynamics, provided a suitable stability condition is satisfied at each point of the initial discontinuity.
2024
Hyperbolic Problems: Theory, Numerics, Applications. Volume I
Ateneo di appartenenza
Carlos Parés, Manuel J. Castro, Tomas Morales de Luna, Maria Luz Munoz-Ruiz
PE1_8 Analysis
Esperti anonimi
Inglese
XVIII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications (HYP2022)
June 20-24, 2022
Malaga, Spain
Internazionale
STAMPA
34
319
329
11
978-3-031-55259-5
Springer
Current-vortex sheets, Ideal compressible Magnetohydrodynamics, Characteristic free boundary, Nonlinear stability, Loss of derivatives
https://link.springer.com/book/10.1007/978-3-031-55260-1?sap-outbound-id=A4177D9EEB6335DBCC10E1745D44C73DFC2F0CA9&utm_source=standard&utm_medium=email&utm_campaign=000_LAN36_0000019083_Book author congrats NEW&utm_content=EN_34155_20240601&mkt-key=42010A0557EB1EEA9CF8172A96AF5B73
Not applicable
restricted
Morando, Alessandro; Secchi, Paolo; Trebeschi, Paola; Yuan, Difan
273
info:eu-repo/semantics/conferenceObject
4
4 Contributo in Atti di Convegno (Proceeding)::4.1 Contributo in Atti di convegno
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/598685
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