On constraint preservation and strong hyperbolicity
DOI10.1088/1361-6382/ac88afOpenAlexW3211882442MaRDI QIDQ5869420
Publication date: 28 September 2022
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.06295
wave equationMaxwell equationsquasi-linear PDEsstrong hyperbolicityconstraint preservationKronecker decompositionevolution equations for the constraints
Point estimation (62F10) Relativistic cosmology (83F05) Wave equation (35L05) Constrained dynamics, Dirac's theory of constraints (70H45) Equations of motion in general relativity and gravitational theory (83C10) Maxwell equations (35Q61) Initial-boundary value problems for linear first-order PDEs (35F16) Initial-boundary value problems for nonlinear first-order PDEs (35F31)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the hyperbolicity and stability of \(3+1\) formulations of metric \(f(R)\) gravity
- Constraint propagation in \((N+1)\)-dimensional space-time
- Which symmetry? Noether, Weyl, and conservation of electric charge
- Well posed constraint-preserving boundary conditions for the linearized Einstein equations
- A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes
- Hyperbolic divergence cleaning for the MHD equations
- Causal propagation of constraints in bimetric relativity in standard 3+1 form
- Continuum and discrete initial-boundary value problems and Einstein's field equations
- Constraint propagation equations of the 3+1 decomposition of f ( R ) gravity
- A remedy for constraint growth in numerical relativity: the Maxwell case
- Einstein’s equations with asymptotically stable constraint propagation
- On necessary and sufficient conditions for strong hyperbolicity in systems with constraints
- A necessary condition ensuring the strong hyperbolicity of first-order systems
- STRONGLY HYPERBOLIC SYSTEMS IN GENERAL RELATIVITY
- Constraint-preserving boundary conditions in the Z4 numerical relativity formalism
- ON BOUNDARY CONDITIONS FOR FIRST-ORDER SYMMETRIC HYPERBOLIC SYSTEMS WITH CONSTRAINTS
- Constraint damping in the Z4 formulation and harmonic gauge
- General Relativity
This page was built for publication: On constraint preservation and strong hyperbolicity
