On the Euler equations for nonhomogeneous fluids. I

zbMath0459.76003MaRDI QIDQ1152259

Alberto Valli, Hugo Beirão da Veiga

Publication date: 1980

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1980__63__151_0

zbMATH Keywords

existence theoremEuler's equationsnonhomogeneous fluidsbidimensional

Mathematics Subject Classification ID

Incompressible inviscid fluids (76Bxx)

Related Items (14)

On the motion of non-homogeneous fluids in the presence of diffusion ⋮ On the reactive and non-diffusive equations for zero mach number flow ⋮ The Rayleigh-Taylor instability of incompressible Euler equations in a horizontal slab domain ⋮ Boundary layer for 3D plane parallel channel flows of nonhomogeneous incompressible Navier-Stokes equations ⋮ About the motion of nonhomogeneous ideal incompressible fluids ⋮ Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial data ⋮ A blow-up criterion for the inhomogeneous incompressible Euler equations ⋮ On the well-posedness of the incompressible density-dependent Euler equations in the \(L^p\) framework ⋮ The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces ⋮ Energy conservation in 2-D density-dependent Euler equations with regularity assumptions on the vorticity ⋮ A new approach to the Rayleigh-Taylor instability ⋮ Existence theorems for compressible viscous fluids having zero shear viscosity ⋮ On the equations of ideal incompressible magneto-hydrodynamics ⋮ The research of Alberto Valli

Cites Work

• Sul problema misto per le equazioni lineari ellittiche
• On the motion of a non-homogeneous ideal incompressible fluid in an external force field
• On the Euler equations for nonhomogeneous fluids. II
• Notes on vortex flows of perfect fluids
• On the Euler equations of incompressible perfect fluids
• Un théorème sur l'existence du mouvement plan d'un fluide parfait, homogene, incompressible, pendant un temps infiniment long
• On classical solutions of the two-dimensional non-stationary Euler equation
• Existence of cω solution of the euler equation for non-homogeneous fluids
• Elliptic Partial Differential Equations of Second Order
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
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