Boundary integral approach for the mixed Dirichlet-Robin boundary value problem for the nonlinear Darcy-Forchheimer-Brinkman system
From MaRDI portal
Publication:2192467
DOI10.1016/j.camwa.2019.12.012zbMath1448.35146arXiv1810.09543OpenAlexW2998077900WikidataQ126432347 ScholiaQ126432347MaRDI QIDQ2192467
Publication date: 17 August 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.09543
Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35)
Related Items
On numerical solution stability of the Laplace equation in absence of the Dirichlet boundary condition: benchmark problem proposal ⋮ One Navier's problem for the Brinkman system
Cites Work
- Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients
- Multi-layer potentials and boundary problems for higher-order elliptic systems in Lipschitz domains
- Integral potential method for a transmission problem with Lipschitz interface in \(\mathbb{R}^{3}\) for the Stokes and Darcy-Forchheimer-Brinkman PDE systems
- Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains
- On the Navier problem for the stationary Navier-Stokes equations
- Boundary integral equations
- On the Oseen and Navier-Stokes systems with a slip boundary condition
- Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem
- Layer potentials and Poisson problems for the nonsmooth coefficient Brinkman system in Sobolev and Besov spaces
- The stationary Navier-Stokes system in nonsmooth manifolds: the Poisson problem in Lipschitz and \(C^{1}\) domains
- Variational approach for the Stokes and Navier-Stokes systems with nonsmooth coefficients in Lipschitz domains on compact Riemannian manifolds
- The Dirichlet problem for the Stokes system on Lipschitz domains
- The inhomogeneous Dirichlet problem in Lipschitz domains
- Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains
- Extending Sobolev functions with partially vanishing traces from locally \(({\epsilon},{\delta})\)-domains and applications to mixed boundary problems
- Boundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domains
- Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\)
- Brinkman-type operators on Riemannian manifolds: Transmission problems in Lipschitz and \(C ^{1}\) domains
- On the Robin-transmission boundary value problems for the nonlinear Darcy-Forchheimer-Brinkman and Navier-Stokes systems
- Dirichlet problem for a nonlinear generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains
- On the dual-mixed formulation for an exterior Stokes problem
- Dirichlet-transmission problems for pseudodifferential Brinkman operators on Sobolev and Besov spaces associated to Lipschitz domains in Riemannian manifolds
- Dirichlet Problem for the Stationary Navier-Stokes System on Lipschitz Domains
- On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman PDE system in Besov spaces on creased Lipschitz domains
- Elliptic and parabolic regularity for second- order divergence operators with mixed boundary conditions
- Variational boundary integral equations for the Stokes system§
- The Poisson problem with mixed boundary conditions in Sobolev and Besov spaces in non-smooth domains
- Mixed boundary value problems for the Stokes system
- Boundary Integral Operators on Lipschitz Domains: Elementary Results
- The Resolvent Problem for the Stokes Equations on Halfspace in $L_p $
- Layer potential analysis for a Dirichlet‐transmission problem in Lipschitz domains in ℝn
- ON THE ROBIN PROBLEM FOR STOKES AND NAVIER–STOKES SYSTEMS
- Navier-Stokes equations on Lipschitz domains in Riemannian manifolds.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
