Concepedia

The Navier–Stokes equations in the critical Morrey–Campanato space

Revista Matemática Iberoamericana · 2007 · 99 citations · 14 references

Open access

Concepts

Monge-ampere EquationEngineeringGeometric Partial Differential EquationReal InterpolationInterpolation SpaceGlobal AnalysisNavier-stokes EquationsFunctional AnalysisStrong-weak UniquenessNavier–stokes Equations

Abstract

We shall discuss various points on solutions of the 3D Navier-Stokes equations from the point of view of Morrey-Campanato spaces (global solutions, strong-weak uniqueness, the role of real interpolation, regularity).

References

14

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Monge-ampere Equation, Elliptic Equation, Interior Regularity +7

Well-posedness for the Navier–Stokes Equations

Herbert Koch, Daniel Tataru · Advances in Mathematics · 2001 · 852 citations

Numerical Analysis, Engineering, Incompressible Flow +2

The uncertainty principle

Charles Fefferman · Bulletin of the American Mathematical Society · 1983 · 541 citations · Full text

Elliptic Equation, Engineering, Uncertainty Quantification +13

Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data

Hideo Kozono, Masao Yamazaki · Communications in Partial Differential Equations · 1994 · 410 citations

Engineering, Navier-stokes Equation, Fluid Mechanics +12

Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations

Michael E. Taylor · Communications in Partial Differential Equations · 1992 · 333 citations

Image Size Additional, Engineering, Geometric Partial Differential Equation +9