scientific article; zbMATH DE number 2116089

Publication date: 17 November 2004

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

uniqueness boundary integral methods singularity method hydrodynamic potentials

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to fluid mechanics (76-01) Boundary element methods applied to problems in fluid mechanics (76M15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

\(L^q\)-solution of the Robin problem for the Oseen system, Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian manifolds, On the Oseen-Brinkman flow around an \((m-1)\)-dimensional solid obstacle, Bounded weak and strong time periodic solutions to a three-dimensional chemotaxis-Stokes model with porous medium diffusion, Poisson-transmission problems for \(L^\infty\)-perturbations of the Stokes system on Lipschitz domains in compact Riemannian manifolds, On the Robin-transmission boundary value problems for the nonlinear Darcy-Forchheimer-Brinkman and Navier-Stokes systems, Brinkman-type operators on Riemannian manifolds: Transmission problems in Lipschitz and \(C ^{1}\) domains, Thermocapillary migration of a spherical drop in an arbitrary transient Stokes flow, Boundary integral equations for a three-dimensional Brinkman flow problem, Existence and uniqueness result for the problem of viscous flow in a granular material with a void, One problem of the Navier type for the Stokes system in planar domains, Neumann-transmission problems for pseudodifferential Brinkman operators on Lipschitz domains in compact Riemannian manifolds, Boundary value problems for a compressible Stokes system in bounded domains in \(\mathbb R^n\), Arbitrary oscillatory Stokes flow past a porous sphere using Brinkman model, Boundary integral method for Stokes flow past a porous body, Some geometrical properties of free boundaries in the Hele-Shaw flows, Boundary integral approach for the mixed Dirichlet-Robin boundary value problem for the nonlinear Darcy-Forchheimer-Brinkman system, Resistance functions for two spheres in axisymmetric flow-part. I: Stream function theory, A Dirichlet-transmission problem for Darcy-Forchheimer-Brinkman and Navier-Stokes equations in bounded Lipschitz domain, A chemotaxis‐Stokes system with nonhomogeneous boundary condition: Global large‐datum solution and asymptotic behavior, A Fifth-Order Combined Compact Difference Scheme for Stokes Flow on Polar Geometries, Slow rotation of a spherical particle inside an elastic tube, Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains, A complete general solution of the unsteady Brinkman equations, Existence and uniqueness result for two-dimensional porous media flows with porous inclusions based on Brinkman equation, Fundamental solutions for micropolar fluids, On the lid-driven problem in a porous cavity. A theoretical and numerical approach, A high-order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach, Several non-standard problems for the stationary Stokes system, A Poisson problem of transmission-type for the Stokes and generalized Brinkman systems in complementary Lipschitz domains in \(\mathbb{R}^3\), Integral potential method for a transmission problem with Lipschitz interface in \(\mathbb{R}^{3}\) for the Stokes and Darcy-Forchheimer-Brinkman PDE systems, \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force, Layer potentials and Poisson problems for the nonsmooth coefficient Brinkman system in Sobolev and Besov spaces, Slow rotation of concentric spheres with source at their centre in a viscous fluid, Boundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domains, A mixed boundary value problem for the unsteady Stokes system in a bounded domain in \(\mathbb{R}^n\), Global bounded weak solutions and asymptotic behavior to a chemotaxis-Stokes model with non-Newtonian filtration slow diffusion, Classical solutions of the Robin problem for the Darcy-Forchheimer-Brinkman system, BOUNDARY INTEGRAL EQUATIONS FOR A THREE-DIMENSIONAL STOKES–BRINKMAN CELL MODEL, Dirichlet problem for a nonlinear generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains, Integral representation of a solution to the Stokes-Darcy problem, On the transmission problems for the Oseen and Brinkman systems on Lipschitz domains in compact Riemannian manifolds, Variational approach for the Stokes and Navier-Stokes systems with nonsmooth coefficients in Lipschitz domains on compact Riemannian manifolds, Rigorous estimates for the 2D Oseen-Brinkman transmission problem in terms of the Stokes-Brinkman expansion, Periodic pattern formation in the coupled chemotaxis-(Navier–)Stokes system with mixed nonhomogeneous boundary conditions, Boundary integral equations for two-dimensional low Reynolds number flow past a porous body, A boundary integral method with volume-changing objects for ultrasound-triggered margination of microbubbles, Algebraic construction of a strongly consistent, permutationally symmetric and conservative difference scheme for 3D steady Stokes flow, Shape analysis of the longitudinal flow along a periodic array of cylinders, Weak solutions of the Robin problem for the Oseen system, Boundary value problems for the Brinkman system with \(L^\infty\) coefficients in Lipschitz domains on compact Riemannian manifolds. A variational approach, Boundary Integral Solvers for an Evolutionary Exterior Stokes Problem, Interface boundary value problems of Robin-transmission type for the Stokes and Brinkman systems on n -dimensional Lipschitz domains: applications, Viscous flow around three-dimensional macroscopic cavities in a granular material, Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\)