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Cauchy problem and quasi-stationary limit for the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations
- Publication Year :
- 2010
- Publisher :
- HAL CCSD, 2010.
-
Abstract
- In this paper we continue the investigation of the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations. In particular we extend some previous results about the Cauchy problem and the quasi-stationary limit to the case where the magnetic permeability and the electric permittivity are variable.
- Subjects :
- Permittivity
35L45, 35Q60
compensated compactness
Bloch equation
Mathematics::Analysis of PDEs
Physics::Optics
01 natural sciences
010305 fluids & plasmas
Theoretical Computer Science
Strichartz estimates
symbols.namesake
Mathematics (miscellaneous)
Mathematics - Analysis of PDEs
quasi-stationary limit
0103 physical sciences
FOS: Mathematics
Initial value problem
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Limit (mathematics)
0101 mathematics
Mathematics
Variable (mathematics)
Cauchy problem
energy estimates
010102 general mathematics
Mathematical analysis
Physics::Classical Physics
Landau-Lifschitz equation
Maxwell's equations
Maxwell equations
Bloch equations
symbols
Maxwell-Bloch equations
Analysis of PDEs (math.AP)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....9b0d05d5bfddad7d7113be82d067c048