On the Nash-Moser Iteration Technique

DOI10.1007/978-3-0348-0939-9_23zbMath1350.58003OpenAlexW2472639759MaRDI QIDQ2806226

Paolo Secchi

Publication date: 17 May 2016

Published in: Recent Developments of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11379/483535

zbMATH Keywords

implicit function theoremscompressible Euler equationsNash-Moser theoremcharacteristic free boundarynonlinear hyperbolic systems

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Implicit function theorems; global Newton methods on manifolds (58C15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (15)

Well-Posedness for Moving Interfaces with Surface Tension in Ideal Compressible MHD ⋮ Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension ⋮ Локальное существование контактных разрывов в релятивистской магнитной гидродинамике ⋮ Well-posedness of the free boundary problem in compressible elastodynamics ⋮ On vacuum free boundary problems in ideal compressible magnetohydrodynamics ⋮ Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics ⋮ Anisotropic regularity of the free-boundary problem in compressible ideal magnetohydrodynamics ⋮ Nonlinear stability and existence of two-dimensional compressible current-vortex sheets ⋮ Well-posedness for moving interfaces in anisotropic plasmas ⋮ Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics ⋮ Well-posedness of the free boundary problem for incompressible elastodynamics ⋮ Local existence of MHD contact discontinuities ⋮ Nonlinear stability of MHD contact discontinuities with surface tension ⋮ Virial inversion and density functionals ⋮ The research of Paolo Secchi

Cites Work

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• On the perturbation problem associated to isometric embeddings of Riemannian manifolds
• An inverse function theorem in Fréchet spaces
• The imbedding problem for Riemannian manifolds
• The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
• The boundary problems of physical geodesy
• Existence and stability of compressible current-vortex sheets in three-dimensional magneto\-hydrodynamics
• Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
• A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
• Nonlinear compressible vortex sheets in two space dimensions
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• On Nash's implicit functional theorem
• Well-posedness of the plasma–vacuum interface problem

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