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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2018, Volume 458, Issue 2, pp. 1236 - 1273
We use the notion of stochastic two-scale convergence introduced in [32] to solve the problem of stochastic homogenization of the elastic plate in the bending... 
Elasticity | Dimension reduction | Stochastic two-scale convergence | Stochastic homogenization | DERIVATION | MATHEMATICS | MATHEMATICS, APPLIED | ENERGY | 2-SCALE CONVERGENCE | NONLINEAR ELASTICITY
Journal Article
Ocean Modelling, ISSN 1463-5003, 10/2013, Volume 70, pp. 2 - 10
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 04/2014, Volume 89, Issue 4, p. 043013
Journal Article
International Journal of Solids and Structures, ISSN 0020-7683, 03/2015, Volume 56-57, pp. 280 - 289
Journal Article
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 06/2013, Volume 14, Issue 3, pp. 1705 - 1715
Homogenization of Wilson–Cowan type of nonlocal neural field models is investigated. Motivated by the presence of a convolution term in this type of models, we... 
Homogenization | Wilson–Cowan equations | Algebra with mean value | Neural field models | Wilson-Cowan equations | MATHEMATICS, APPLIED | WAVES | 2-SCALE CONVERGENCE | EQUATIONS | DYNAMICS | MEDIA | GENERALIZED BESICOVITCH SPACES | equations | waves | 2-scale convergence | dynamics | generalized besicovitch spaces | Mathematics | media | Matematik
Journal Article
Multiscale Modeling and Simulation, ISSN 1540-3459, 2018, Volume 16, Issue 2, pp. 807 - 832
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2014, Volume 419, Issue 1, pp. 28 - 47
Calcium is one of the most important intracellular messengers, which occurs in the cytosol and the endoplasmic reticulum of animal cells. While most calcium... 
Nonlinear | Interfacial exchange | Periodic homogenization | Calcium bidomain equations | Reaction–diffusion | Reaction-diffusion | MATHEMATICS, APPLIED | 2-SCALE CONVERGENCE | EQUATIONS | ELECTRICAL-CONDUCTION | MATHEMATICS | EVOLUTION | POROUS-MEDIA | DIFFUSION | TISSUES | MICROSTRUCTURE | Analysis | Cells
Journal Article
Proceedings of the Royal Society of Edinburgh, Section: A Mathematics, ISSN 0308-2105, 12/2008, Volume 138, Issue 6, pp. 1363 - 1401
This paper deals with processes in nonlinear inelastic materials whose constitutive behaviour is represented by the inclusion partial derivative/partial... 
VARIATIONAL-INEQUALITIES | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | PARABOLIC EQUATIONS | REGULARITY | 2-SCALE CONVERGENCE | PRINCIPLE | NUMERICAL-ANALYSIS | EVOLUTION PROBLEMS | PLASTICITY | Materials science | Hypotheses | Mathematics | Models | Nonlinear systems
Journal Article
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), ISSN 0272-4960, 10/2016, Volume 81, Issue 5, pp. 898 - 939
We consider a porous medium with a pore space that is completely filled by three different phases: two immiscible fluids (say water and oil) and a solid phase.... 
homogenization | heterogeneous multiscale method | multiphase porous media | phase field models | FLUIDS | EPITAXY | MATHEMATICS, APPLIED | BOUNDARY | FLOWS | 2-SCALE MODEL | MICROSTRUCTURE
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 01/2016, Volume 131, pp. 206 - 228
Journal Article
SIAM JOURNAL ON APPLIED MATHEMATICS, ISSN 0036-1399, 2018, Volume 78, Issue 2, pp. 1228 - 1255
In this paper we use the method of homogenization to derive a set of approximate equations which describe a nematic liquid crystal colloid in which the dopants... 
TOPOLOGICAL DEFECTS | MATHEMATICS, APPLIED | numerical methods | FERRONEMATICS | BEHAVIOR | 2-SCALE CONVERGENCE | colloidal suspensions | MACROSCOPIC PROPERTIES | approximation methods | NANOPARTICLES | homogenization | nematic liquid crystals | ALIGNMENT | ORIENTATIONAL INTERACTIONS | SURFACES
Journal Article
Journal Article
Continuum Mechanics and Thermodynamics, ISSN 0935-1175, 11/2014, Volume 27, Issue 6, pp. 941 - 957
Journal Article