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Fully Nonlinear Equations with Applications to Grad Equations in Plasma Physics
- Source :
- Communications on Pure and Applied Mathematics. 76:604-615
- Publication Year :
- 2021
- Publisher :
- Wiley, 2021.
-
Abstract
- In this paper we generalize an equation studied by Mossino and Temam, to the fully nonlinear case. This equation arises in plasma physics as an approximation to Grad equations, which were introduced by Harold Grad, to model the behavior of plasma confined in a toroidal vessel. We prove existence of a $W^{2,p}$-viscosity solution and regularity up to $C^{1,\alpha}(\overline{\Omega})$ for any $\alpha
- Subjects :
- Toroid
Applied Mathematics
General Mathematics
010102 general mathematics
Boundary (topology)
Plasma
01 natural sciences
Measure (mathematics)
Omega
Nonlinear system
Alpha (programming language)
Physics::Plasma Physics
0103 physical sciences
010307 mathematical physics
0101 mathematics
Mathematical physics
Mathematics
Subjects
Details
- ISSN :
- 10970312 and 00103640
- Volume :
- 76
- Database :
- OpenAIRE
- Journal :
- Communications on Pure and Applied Mathematics
- Accession number :
- edsair.doi...........63aae41467da554f5c35accd459e0326