The Dirichlet problem for Stokes equations outside open arcs in a half-plane and creeping flow over thin profiles
DOI10.1090/S0033-569X-2010-01162-3zbMath1197.35194OpenAlexW2025719724MaRDI QIDQ3586733
Publication date: 1 September 2010
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.ams.org/journals/qam/2010-68-03/S0033-569X-2010-01162-3/home.html
Systems of singular linear integral equations (45F15) Stokes and related (Oseen, etc.) flows (76D07) Integral representations of solutions to PDEs (35C15) Navier-Stokes equations (35Q30) Systems of nonsingular linear integral equations (45F05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)
Cites Work
- On Stokes potentials for velocities
- On the Stokes potential for pressure
- Boundary Integral and Singularity Methods for Linearized Viscous Flow
- The completed double layer boundary integral equation method for two-dimensional Stokes flow
- The motion of a rigid body in viscous fluid bounded by a plane wall
- An explicit solution of the pseudo‐hyperbolic initial boundary value problem in a multiply connected region
- Second-Kind Integral Equation Formulation for the Slow Motion of a Particle of Arbitrary Shape Near a Plane Wall in a Viscous Fluid
- On properties of some integrals related to potentials for Stokes equations
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