Shape analysis of the longitudinal flow along a periodic array of cylinders
From MaRDI portal
Publication:2315055
DOI10.1016/j.jmaa.2019.05.017zbMath1421.35284OpenAlexW2946817559WikidataQ127891923 ScholiaQ127891923MaRDI QIDQ2315055
Roman Pukhtaievych, Paolo Luzzini, Paolo Musolino
Publication date: 31 July 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11577/3309033
PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items
Perturbation analysis of the effective conductivity of a periodic composite ⋮ Shape analyticity and singular perturbations for layer potential operators ⋮ Multi-parameter analysis of the obstacle scattering problem ⋮ Singular behavior for a multi-parameter periodic Dirichlet problem ⋮ Domain perturbation for the solution of a periodic Dirichlet problem ⋮ Real analyticity of periodic layer potentials upon perturbation of the periodicity parameters and of the support
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A real analyticity result for a nonlinear integral operator
- Effective conductivity of a periodic dilute composite with perfect contact and its series expansion
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Analytic dependence of a periodic analog of a fundamental solution upon the periodicity parameters
- Longitudinal permeability of spatially periodic rectangular arrays of circular cylinders. II: An arbitrary distribution of cylinders inside the unit cell
- Topological derivatives in shape optimization
- Variation and optimization of formes. A geometric analysis
- Longitudinal laminar flow in an array of circular cylinders
- Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density
- A singularly perturbed Dirichlet problem for the Laplace operator in a periodically perforated domain. A functional analytic approach
- On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
- Exact solution to a nonlinear heat conduction problem in doubly periodic 2D composite materials
- A singularly perturbed nonlinear traction boundary value problem for linearized elastostatics. A functional analytic approach
- Effective conductivity of a composite material with non-ideal contact conditions
- Transport processes in random arrays of cylinders. I. Thermal conduction
- Transport processes in random arrays of cylinders. II. Viscous flow
- Longitudinal Permeability of Spatially Periodic Rectangular Arrays of Circular Cylinders I. A Single Cylinder in the Unit Cell
- Effective viscosity properties of dilute suspensions of arbitrarily shaped particles
- Stokes flow in a singularly perturbed exterior domain
- A Singularly Perturbed Dirichlet Problem for the Poisson Equation in a Periodically Perforated Domain. A Functional Analytic Approach
- Improved algorithm for analytical solution of the heat conduction problem in doubly periodic 2D composite materials
- A transmission problem with imperfect contact for an unbounded multiply connected domain
- Series expansion for the effective conductivity of a periodic dilute composite with thermal resistance at the two-phase interface
- Asymptotic behavior of the solutions of the Dirichlet problem for the Laplace operator in a domain with a small hole. A functional analytic approach
- A domain perturbation problem for the Poisson equation