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Solutions of a Class of Degenerate Kinetic Equations Using Steepest Descent in Wasserstein Space
Joint Authors
Marcos, Aboubacar
Soglo, Ambroise
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-09
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
We use the steepest descent method in an Orlicz–Wasserstein space to study the existence of solutions for a very broad class of kinetic equations, which include the Boltzmann equation, the Vlasov–Poisson equation, the porous medium equation, and the parabolic p-Laplacian equation, among others.
We combine a splitting technique along with an iterative variational scheme to build a discrete solution which converges to a weak solution of our problem.
American Psychological Association (APA)
Marcos, Aboubacar& Soglo, Ambroise. 2020. Solutions of a Class of Degenerate Kinetic Equations Using Steepest Descent in Wasserstein Space. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-30.
https://search.emarefa.net/detail/BIM-1188174
Modern Language Association (MLA)
Marcos, Aboubacar& Soglo, Ambroise. Solutions of a Class of Degenerate Kinetic Equations Using Steepest Descent in Wasserstein Space. Journal of Mathematics No. 2020 (2020), pp.1-30.
https://search.emarefa.net/detail/BIM-1188174
American Medical Association (AMA)
Marcos, Aboubacar& Soglo, Ambroise. Solutions of a Class of Degenerate Kinetic Equations Using Steepest Descent in Wasserstein Space. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-30.
https://search.emarefa.net/detail/BIM-1188174
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188174