Quasi-periodic incompressible Euler flows in 3D
Montalto, R.
2021Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)33 citationsDOIOpen Access PDF
Abstract
We prove the existence of time-quasi-periodic solutions of the incompressible Euler equation on the three-dimensional torus T 3 , with a small time-quasi-periodic external force.The solutions are perturbations of constant (Diophantine) vector fields, and they are constructed by means of normal forms and KAM techniques for reversible quasilinear PDEs.
Topics & Concepts
MathematicsDiophantine equationTorusQuasi periodicCompressibilityEuler's formulaConstant (computer programming)Semi-implicit Euler methodMathematical analysisEuler equationsVector fieldBackward Euler methodPure mathematicsGeometryPhysicsMechanicsAstrophysicsComputer scienceProgramming languageQuantum chaos and dynamical systemsNonlinear Waves and SolitonsNavier-Stokes equation solutions