Sufficient conditions on Liouville type theorems for the 3D steady Navier–Stokes equations
G. Serëgin, W. Wang
Abstract
Our aim is to prove Liouville type theorems for the three dimensional steady-state NavierâStokes equations provided the velocity field belongs to some Lorentz spaces. The corresponding statement contains several known results as a particular case.
Topics & Concepts
MathematicsType (biology)Navier–Stokes equationsSteady state (chemistry)Statement (logic)Vector fieldLorentz transformationMathematical analysisField (mathematics)Pure mathematicsClassical mechanicsPhysicsCompressibilityMechanicsGeometryPhysical chemistryBiologyEcologyChemistryLawPolitical scienceAdvanced Mathematical Physics ProblemsNavier-Stokes equation solutionsStability and Controllability of Differential Equations