Keyword

global regularity

Description: The property that solutions or operators remain sufficiently smooth across their entire domain or for all time, especially in analysis and partial differential equations.

Primary topic: Navier-Stokes equation solutions (66%)

OpenAlex ID: keywords/global-regularity

Global regularity for the 2D Boussinesq equations with partial viscosity terms

2005 · Dongho Chae · Advances in Mathematics · 496

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Partial Differential Equations in Several Complex Variables

2001 · So-Chin Chen, Mei-Chi Shaw · AMS/IP studies in advanced mathematics · 450

The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory

2002 · Ciprian Foias, Darryl D. Holm, et al. · Journal of Dynamics and Differential Equations · 406

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Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion

2010 · Chongsheng Cao, Jiahong Wu · Advances in Mathematics · 404

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Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions

1991 · Ingrid Daubechies, Jeffrey C. Lagarias · SIAM Journal on Mathematical Analysis · 381

Global Solutions for Some Oldroyd Models of Non-newtonian Flows

2000 · P. L. Lions, N. Masmoudi · Chinese Annals of Mathematics Series B · 333

LiDAR Point Clouds to 3-D Urban Models$:$ A Review

2018 · Ruisheng Wang, Jiju Peethambaran, et al. · IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing · 320

Invariant measures for the2D-defocusing nonlinear Schrödinger equation

1996 · Jean Bourgain · Communications in Mathematical Physics · 307

Nonlinear maximum principles for dissipative linear nonlocal operators and applications

2012 · Peter Constantin, Vlad Vicol · Geometric and Functional Analysis · 293

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Gradient Estimates for Solutions to Divergence Form Elliptic Equations with Discontinuous Coefficients

2000 · Yan Yan Li, Michael Vogelius · Archive for Rational Mechanics and Analysis · 291

A new regularity class for the Navier-Stokes equations in R^n

1995 · da Veiga, Hugo Beirao · Medical Entomology and Zoology · 280

Computational physics

1974 · E.W. Laing · Computer Physics Communications · 247

Global attractors for the three-dimensional Navier-Stokes equations

1996 · George R. Sell · Journal of Dynamics and Differential Equations · 244

Global Hölder regularity for the fractional $p$-Laplacian

2016 · Antonio Iannizzotto, Sunra J.N. Mosconi, et al. · Revista Matemática Iberoamericana · 240

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Global regularity for vortex patches

1993 · A. L. Bertozzi, P. Constantin · Communications in Mathematical Physics · 240

Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions

1993 · Geneviève Raugel, George R. Sell · Journal of the American Mathematical Society · 240

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The Navier-Stokes Problem in the 21st Century

2016 · Pierre Lemarie-Rieusset · Chapman & Hall/CRC eBooks · 220

Global Regularity of Wave Maps¶II. Small Energy in Two Dimensions

2001 · Terence Tao · Communications in Mathematical Physics · 212

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Global regularity for ∂ on weakly pseudo-convex manifolds

1973 · J. J. Kohn · Transactions of the American Mathematical Society · 210

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Finite time blowup for an averaged three-dimensional Navier-Stokes equation

2015 · Terence Tao · Journal of the American Mathematical Society · 207

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Global Regularity for the Two-Dimensional Anisotropic Boussinesq Equations with Vertical Dissipation

2013 · Chongsheng Cao, Jiahong Wu · Archive for Rational Mechanics and Analysis · 203

An Introduction to Pseudo-Differential Operators

1991 · M W Wong · WORLD SCIENTIFIC eBooks · 199

Some estimates for h–p–k-refinement in Isogeometric Analysis

2010 · L. Beirão da Veiga, A. Buffa, et al. · Numerische Mathematik · 197

Global Regularity Criterion for the 3D Navier–Stokes Equations Involving One Entry of the Velocity Gradient Tensor

2011 · Chongsheng Cao, Edriss S. Titi · Archive for Rational Mechanics and Analysis · 193

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The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion

2014 · Chongsheng Cao, Jiahong Wu, et al. · SIAM Journal on Mathematical Analysis · 180

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Works count: 3,583

Citation count: 34,430