Keyword

singularity formation

Description: The development of singularities, such as unbounded values or loss of smoothness, in solutions to nonlinear evolution equations or physical models.

Primary topic: Navier-Stokes equation solutions (26%)

OpenAlex ID: keywords/singularity-formation

Sur le mouvement d'un liquide visqueux emplissant l'espace

1934 · Jean Leray · Acta Mathematica · 3,019

PDF

Physics of liquid jets

2008 · Jens Eggers, Emmanuel Villermaux · Reports on Progress in Physics · 1,841

Dimensional Reduction in Quantum Gravity

1993 · Hooft, G. 't · arXiv (Cornell University) · 630

PDF

Dynamics of Self-Gravitating Gaseous Spheres--III: Analytical Results in the Free-fall of Isothermal Cases

1969 · M. V. Penston · Monthly Notices of the Royal Astronomical Society · 624

PDF

Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations

1964 · Peter D. Lax · Journal of Mathematical Physics · 612

Small-scale structure of two-dimensional magnetohydrodynamic turbulence

1979 · Steven A. Orszag, Cha-Mei Tang · Journal of Fluid Mechanics · 555

Removing the stiffness from interfacial flows with surface tension

1994 · Thomas Y. Hou, John S. Lowengrub, et al. · Journal of Computational Physics · 525

Formation of singularities in three-dimensional compressible fluids

1985 · Thomas C. Sideris · Communications in Mathematical Physics · 508

Naked Singularities

1973 · Roger Penrose · Annals of the New York Academy of Sciences · 460

Curvature and the evolution of fronts

1985 · J. A. Sethian · Communications in Mathematical Physics · 425

Desingularization of periodic vortex sheet roll-up

1986 · Robert Krasny · Journal of Computational Physics · 406

Formation of singularities in one‐dimensional nonlinear wave propagation

1974 · Fritz John · Communications on Pure and Applied Mathematics · 405

A study of singularity formation in a vortex sheet by the point-vortex approximation

1986 · Robert Krasny · Journal of Fluid Mechanics · 398

The problem Of blow-up in nonlinear parabolic equations

2002 · Victor A. Galaktionov, Juan-Luis Vázquez · Discrete and Continuous Dynamical Systems · 390

Cosmological dynamics on the brane

2000 · Roy Maartens · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 387

PDF

The spontaneous appearance of a singularity in the shape of an evolving vortex sheet

1979 · Derek William Moore · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 379

Interior estimates for hypersurfaces moving by mean curvature

1991 · Klaus Ecker, Gerhard Huisken · Inventiones mathematicae · 373

PDF

End point of Hawking radiation

1992 · Jorge G. Russo, Leonard Susskind, et al. · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 342

PDF

The formations of singularities in the Ricci Flow

1993 · Richard Hamilton · Surveys in Differential Geometry · 337

PDF

The Instability of Naked Singularities in the Gravitational Collapse of a Scalar Field

1999 · Demetrios Christodoulou · Annals of Mathematics · 331

PDF

A Compactness Property for Solutions of the Ricci Flow

1995 · Richard S. Hamilton · American Journal of Mathematics · 329

The Harnack estimate for the Ricci flow

1993 · Richard S. Hamilton · Journal of Differential Geometry · 319

Regularity Theory for Mean Curvature Flow