On white noise solutions of mSQG equations on R-2

Liang S (2023)
Journal of Mathematical Analysis and Applications 519(2): 126830.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
In this paper, we show existence of white noise solutions for weak formulations of modified Surface Quasi-Geostrophic (mSQG) equations. Based on previous results ([10]) on white noise solutions for mSQG equations on the torus T-2, we show a similar result for the whole space R-2 by letting the volume of the torus go to infinity and applying compactness methods (Skorokhod's theorem). (c) 2022 Elsevier Inc. All rights reserved.
Stichworte
White noise solutions; Weak formulation; mSQG equations; Skorokhod's; theorem
Erscheinungsjahr
2023
Zeitschriftentitel
Journal of Mathematical Analysis and Applications
Band
519
Ausgabe
2
Art.-Nr.
126830
ISSN
0022-247X
eISSN
1096-0813
Page URI
https://pub.uni-bielefeld.de/record/2969187

Zitieren

Liang S. On white noise solutions of mSQG equations on R-2. Journal of Mathematical Analysis and Applications. 2023;519(2): 126830.
Liang, S. (2023). On white noise solutions of mSQG equations on R-2. Journal of Mathematical Analysis and Applications, 519(2), 126830. https://doi.org/10.1016/j.jmaa.2022.126830
Liang, Siyu. 2023. “On white noise solutions of mSQG equations on R-2”. Journal of Mathematical Analysis and Applications 519 (2): 126830.
Liang, S. (2023). On white noise solutions of mSQG equations on R-2. Journal of Mathematical Analysis and Applications 519:126830.
Liang, S., 2023. On white noise solutions of mSQG equations on R-2. Journal of Mathematical Analysis and Applications, 519(2): 126830.
S. Liang, “On white noise solutions of mSQG equations on R-2”, Journal of Mathematical Analysis and Applications, vol. 519, 2023, : 126830.
Liang, S.: On white noise solutions of mSQG equations on R-2. Journal of Mathematical Analysis and Applications. 519, : 126830 (2023).
Liang, Siyu. “On white noise solutions of mSQG equations on R-2”. Journal of Mathematical Analysis and Applications 519.2 (2023): 126830.
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