Search results for "Removable singularity"

showing 2 items of 2 documents

Mappings of finite distortion: Removable singularities

2003

We show that certain small sets are removable for bounded mappings of finite distortion for which the distortion function satisfies a suitable subexponential integrability condition. We also give an example demonstrating the sharpness of this condition.

Distortion (mathematics)Distortion functionGeneral MathematicsBounded functionMathematical analysisGravitational singularityAlgebra over a fieldRemovable singularityMathematicsIsrael Journal of Mathematics
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On numerical relativistic hydrodynamics and barotropic equations of state

2012

The characteristic formulation of the relativistic hydrodynamic equations (Donat et al 1998 J. Comput. Phys. 146 58), which has been implemented in many relativistic hydro-codes that make use of Godunov-type methods, has to be slightly modified in the case of evolving barotropic flows. For a barotropic equation of state, a removable singularity appears in one of the eigenvectors. The singularity can be avoided by means of a simple renormalization which makes the system of eigenvectors well defined and complete. An alternative strategy for the particular case of barotropic flows is discussed.

PhysicsEquation of statePhysics and Astronomy (miscellaneous)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)AstrophysicsGeneral Relativity and Quantum CosmologyRenormalizationClassical mechanicsSingularityAstrophysics - Solar and Stellar AstrophysicsSimple (abstract algebra)Barotropic fluidSolar and Stellar Astrophysics (astro-ph.SR)Eigenvalues and eigenvectorsAlternative strategyRemovable singularityClassical and Quantum Gravity
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