-
Previous Article
On the regularity of minimizers to degenerate functionals
- CPAA Home
- This Issue
-
Next Article
An overview on some results concerning the transport equation and its applications to conservation laws
On the effective interfacial resistance through rough surfaces
| 1. | Laboratoire de Mathématiques Raphaël Salem, UMR CNRS 6085, Avenue de l’Université, BP 12, 76801 Saint Etienne de Rouvray, France |
| 2. | Narvik University College, HiN, Postbox 385, 8505 Narvik, Norway, and, P.N. Lebedev Physical Institute RAS, Leninski prospect, 53, Moscow, 117924, Russian Federation |
We derive the homogenized problem and effective transmission condition for different values of the ratio between the microstructure period and the amplitude of the interface oscillations, as well as for the different values of the mentioned proportionality coefficient.
| [1] |
Sara Monsurrò, Carmen Perugia. Homogenization and exact controllability for problems with imperfect interface. Networks & Heterogeneous Media, 2019, 14 (2) : 411-444. doi: 10.3934/nhm.2019017 |
| [2] |
Xianmin Xu. Analysis for wetting on rough surfaces by a three-dimensional phase field model. Discrete & Continuous Dynamical Systems - B, 2016, 21 (8) : 2839-2850. doi: 10.3934/dcdsb.2016075 |
| [3] |
Emre Kiliç, Mehmet Çayören, Ali Yapar, Íbrahim Akduman. Reconstruction of perfectly conducting rough surfaces by the use of inhomogeneous surface impedance modeling. Inverse Problems & Imaging, 2009, 3 (2) : 295-307. doi: 10.3934/ipi.2009.3.295 |
| [4] |
Hugo Beirão da Veiga. A challenging open problem: The inviscid limit under slip-type boundary conditions.. Discrete & Continuous Dynamical Systems - S, 2010, 3 (2) : 231-236. doi: 10.3934/dcdss.2010.3.231 |
| [5] |
José M. Arrieta, Simone M. Bruschi. Very rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a non uniformly Lipschitz deformation. Discrete & Continuous Dynamical Systems - B, 2010, 14 (2) : 327-351. doi: 10.3934/dcdsb.2010.14.327 |
| [6] |
Laura Sigalotti. Homogenization of pinning conditions on periodic networks. Networks & Heterogeneous Media, 2012, 7 (3) : 543-582. doi: 10.3934/nhm.2012.7.543 |
| [7] |
Thomas I. Seidman. Interface conditions for a singular reaction-diffusion system. Discrete & Continuous Dynamical Systems - S, 2009, 2 (3) : 631-643. doi: 10.3934/dcdss.2009.2.631 |
| [8] |
Markus Gahn, Maria Neuss-Radu, Peter Knabner. Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface. Networks & Heterogeneous Media, 2018, 13 (4) : 609-640. doi: 10.3934/nhm.2018028 |
| [9] |
Eric Blayo, Antoine Rousseau. About interface conditions for coupling hydrostatic and nonhydrostatic Navier-Stokes flows. Discrete & Continuous Dynamical Systems - S, 2016, 9 (5) : 1565-1574. doi: 10.3934/dcdss.2016063 |
| [10] |
Mariane Bourgoing. Viscosity solutions of fully nonlinear second order parabolic equations with $L^1$ dependence in time and Neumann boundary conditions. Existence and applications to the level-set approach. Discrete & Continuous Dynamical Systems - A, 2008, 21 (4) : 1047-1069. doi: 10.3934/dcds.2008.21.1047 |
| [11] |
Carmen Calvo-Jurado, Juan Casado-Díaz, Manuel Luna-Laynez. The homogenization of the heat equation with mixed conditions on randomly subsets of the boundary. Conference Publications, 2013, 2013 (special) : 85-94. doi: 10.3934/proc.2013.2013.85 |
| [12] |
Micol Amar. A note on boundary layer effects in periodic homogenization with Dirichlet boundary conditions. Discrete & Continuous Dynamical Systems - A, 2000, 6 (3) : 537-556. doi: 10.3934/dcds.2000.6.537 |
| [13] |
Sheng Xu. Derivation of principal jump conditions for the immersed interface method in two-fluid flow simulation. Conference Publications, 2009, 2009 (Special) : 838-845. doi: 10.3934/proc.2009.2009.838 |
| [14] |
Maicon Sônego. Stable solution induced by domain geometry in the heat equation with nonlinear boundary conditions on surfaces of revolution. Discrete & Continuous Dynamical Systems - B, 2019, 24 (11) : 5981-5988. doi: 10.3934/dcdsb.2019116 |
| [15] |
Grégoire Allaire, Yves Capdeboscq, Marjolaine Puel. Homogenization of a one-dimensional spectral problem for a singularly perturbed elliptic operator with Neumann boundary conditions. Discrete & Continuous Dynamical Systems - B, 2012, 17 (1) : 1-31. doi: 10.3934/dcdsb.2012.17.1 |
| [16] |
María J. Rivera, Juan A. López Molina, Macarena Trujillo, Enrique J. Berjano. Theoretical modeling of RF ablation with internally cooled electrodes: Comparative study of different thermal boundary conditions at the electrode-tissue interface. Mathematical Biosciences & Engineering, 2009, 6 (3) : 611-627. doi: 10.3934/mbe.2009.6.611 |
| [17] |
Jorge Tejero. Reconstruction of rough potentials in the plane. Inverse Problems & Imaging, 2019, 13 (4) : 863-878. doi: 10.3934/ipi.2019039 |
| [18] |
Elena Cordero, Fabio Nicola, Luigi Rodino. Schrödinger equations with rough Hamiltonians. Discrete & Continuous Dynamical Systems - A, 2015, 35 (10) : 4805-4821. doi: 10.3934/dcds.2015.35.4805 |
| [19] |
Michael Stiassnie, Raphael Stuhlmeier. Progressive waves on a blunt interface. Discrete & Continuous Dynamical Systems - A, 2014, 34 (8) : 3171-3182. doi: 10.3934/dcds.2014.34.3171 |
| [20] |
Yaozhong Hu, Yanghui Liu, David Nualart. Taylor schemes for rough differential equations and fractional diffusions. Discrete & Continuous Dynamical Systems - B, 2016, 21 (9) : 3115-3162. doi: 10.3934/dcdsb.2016090 |
2018 Impact Factor: 0.925
Tools
Metrics
Other articles
by authors
[Back to Top]