Elliptic boundary value problems of fluid dynamics over unbounded domains

DOI<81::AID-MMA105>3.0.CO;2-Z 10.1002/(SICI)1099-1476(20000110)23:1<81::AID-MMA105>3.0.CO;2-ZzbMath0956.30028OpenAlexW2035072079WikidataQ58038957 ScholiaQ58038957MaRDI QIDQ4944242

Uwe Kaehler, Paula Cerejeiras

Publication date: 7 March 2001

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(20000110)23:1<81::aid-mma105>3.0.co;2-z

zbMATH Keywords

boundary value problemsunbounded domainsNavier-Stokes equationClifford analysisStokes equation

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (16)

Difference potentials for the Navier–Stokes equations in unbounded domains ⋮ Clifford analysis and the Navier‐Stokes equations over unbounded domains ⋮ On the Riemann boundary value problem for null solutions to iterated generalized Cauchy-Riemann operator in Clifford analysis ⋮ Riemann boundary value problems for iterated Dirac operator on the ball in Clifford analysis ⋮ Riemann boundary value problems on the sphere in Clifford analysis ⋮ Variational principles in quaternionic analysis with applications to the stationary MHD equations ⋮ Applications of Parabolic Dirac Operators to the Instationary Viscous MHD Equations on Conformally Flat Manifolds ⋮ On a factorization of the Schrödinger and Klein-Gordon operators ⋮ The Schrödinger equation on cylinders and the \(n\)-torus ⋮ Riemann boundary value problems on half space in Clifford analysis ⋮ Hodge decomposition of variable exponent spaces of Clifford-valued functions and applications to Dirac and Stokes equations ⋮ Navier-Stokes equations with variable viscosity in variable exponent spaces of Clifford-valued functions ⋮ Magnetohydrodynamics's Type Equations Over Clifford Algebras ⋮ Applications of the quaternionic calculus to the convective stationary MHD equations in \({\mathbb{R}^3}\) ⋮ The stationary Navier-Stokes equations in variable exponent spaces of Clifford-valued functions ⋮ Solutions to the polynomial Dirac equations on unbounded domains in Clifford analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence, uniqueness and \(L^ q\)-estimates for the Stokes problem in an exterior domain
• Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
• Clifford analysis over unbounded domains
• The inhomogeneous Dirichlet problem in Lipschitz domains
• On stability of exterior stationary Navier-Stokes flows
• On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

This page was built for publication: Elliptic boundary value problems of fluid dynamics over unbounded domains