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The r-Hunter-Saxton equation, smooth and singular solutions and their approximation
- Publication Year :
- 2019
-
Abstract
- In this work we introduce the r-Hunter-Saxton equation, a generalisation of the Hunter-Saxton equation arising as extremals of an action principle posed in L_r. We characterise solutions to the Cauchy problem, quantifying the blow-up time and studying various symmetry reductions. We construct piecewise linear functions and show that they are weak solutions to the r-Hunter-Saxton equation.<br />Revised after referee comments
- Subjects :
- Paper
singular solutions
GEODESIC-FLOW
Work (thermodynamics)
General Mathematics
Mathematics, Applied
HYPERBOLIC VARIATIONAL EQUATION
Mathematics::Analysis of PDEs
General Physics and Astronomy
FOS: Physical sciences
01 natural sciences
Piecewise linear function
37K06
Mathematics - Analysis of PDEs
0102 Applied Mathematics
37K05
FOS: Mathematics
Hunter–Saxton equation
Applied mathematics
Initial value problem
Lie symmetries
0101 mathematics
nlin.SI
math.AP
Mathematical Physics
Mathematics
Science & Technology
Nonlinear Sciences - Exactly Solvable and Integrable Systems
Physics
Applied Mathematics
010102 general mathematics
4901 Applied Mathematics
4904 Pure Mathematics
Statistical and Nonlinear Physics
Action (physics)
Symmetry (physics)
Physics, Mathematical
010101 applied mathematics
35Q53
Nonlinear Sciences::Exactly Solvable and Integrable Systems
nonlinear PDEs
Physical Sciences
49 Mathematical Sciences
37K58
Exactly Solvable and Integrable Systems (nlin.SI)
Analysis of PDEs (math.AP)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....39003552c6e9373321eee7f9f98f3d28