scholarly journals Infinitely many symmetric solutions for anisotropic problems driven by nonhomogeneous operators

2019 ◽  
Vol 12 (2) ◽  
pp. 401-411 ◽  
Author(s):  
Dušan D. Repovš ◽  
Keyword(s):  
Anisotropic Problems

scholarly journals Entropy Solution for Doubly Nonlinear Elliptic Anisotropic Problems with Robin Boundary Conditions

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
I. Ibrango ◽  
S. Ouaro
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Weak Solutions ◽  
Entropy Solution ◽  
Boundary Value ◽  
Monotone Operators ◽  
Robin Boundary Conditions ◽  
Anisotropic Problems ◽  
Robin Boundary ◽  
Robin Boundary Value Problem

We study in this paper nonlinear anisotropic problems with Robin boundary conditions. We prove, by using the technic of monotone operators in Banach spaces, the existence of a sequence of weak solutions of approximation problems associated with the anisotropic Robin boundary value problem. For the existence and uniqueness of entropy solutions, we prove that the sequence of weak solutions converges to a measurable function which is the entropy solution of the anisotropic Robin boundary value problem.

Effective Radiative Properties of a Cylinder Array

2001 ◽  
Vol 124 (1) ◽  
pp. 198-200 ◽  
Author(s):  
Chongshan Zhang ◽  
Abraham Kribus ◽  
Rami Ben-Zvi
Keyword(s):  
Heat Sinks ◽  
Radiative Properties ◽  
Small Scale ◽  
Plant Canopies ◽  
Cylinder Array ◽  
Anisotropic Problems ◽  
Fibrous Insulation ◽  
Full Solution ◽  
Energy Absorbers ◽  
Radiative Interaction

Fully anisotropic problems are found where the radiative interaction is due to small-scale elements that lack spherical symmetry, for example: fibrous insulation, finned heat sinks, plant canopies, and some solar energy absorbers. We present the effective bulk optical properties of a PM composed of small-scale opaque cylinders. The properties are derived from data generated by detailed Monte-Carlo numerical experiments. The data reduction procedure is relatively simple and does not require a full solution and optimization of the Radiative Transfer Equation. Benchmark cases are presented, comparing an exact solution (with geometric detail of the cylinder array) and an approximate solution using a continuous PM model with the effective volumetric properties.

A nonexistence result for anisotropic problems

Nonlinearity ◽  
2020 ◽  
Vol 33 (12) ◽  
pp. 7040-7053
Author(s):  
Phuong Le ◽  
Kim Anh T Le ◽  
Phuoc Vinh Dinh
Keyword(s):  
Nonexistence Result ◽  
Anisotropic Problems

Symmetrization for Neumann Anisotropic Problems and Related Questions

2012 ◽  
Vol 12 (2) ◽  
Author(s):  
Francesco Della Pietra ◽  
Nunzia Gavitone
Keyword(s):  
Convex Function ◽  
Poincaré Inequality ◽  
Elliptic Problems ◽  
Poincare Inequality ◽  
Comparison Results ◽  
Anisotropic Problems

AbstractIn this paper we prove some comparison results for Neumann elliptic problems whose model involves the anisotropic LaplacianΔwhere H is a positively homogenous convex function. Finally, we find a Poincaré inequality in the anisotropic setting.

scholarly journals Normal and Tangential Contact Between Anisotropic Materials

2011 ◽  
Author(s):  
C. Bagault ◽  
M.-C. Baietto ◽  
D. Ne´lias
Keyword(s):  
Contact Problem ◽  
Contact Mechanics ◽  
Anisotropic Material ◽  
Analytic Solutions ◽  
Anisotropic Materials ◽  
Contact Model ◽  
Problem Solution ◽  
Tangential Contact ◽  
Anisotropic Problems ◽  
Recent Developments

A contact model using semi analytic methods, relying on elementary analytic solutions, has been developed. It is based on numeric techniques adapted to contact mechanics, with strong potential for inelastic, inhomogeneous or anisotropic problems. Recent developments aim to quantify displacements and stresses of an anisotropic material which is in contact with another anisotropic material. The influence of symmetry axes on the contact problem solution will be more specifically analyzed.

scholarly journals Parabolic anisotropic problems with lower order terms and integrable data

2020 ◽  
pp. 411-442
Author(s):  
Moussa Chrif ◽  
Said El Manouni ◽  
Hassane Hjiaj
Keyword(s):  
Lower Order ◽  
Anisotropic Problems ◽  
Lower Order Terms

scholarly journals Coarsening Strategies for Unstructured Multigrid Techniques with Application to Anisotropic Problems

1998 ◽  
Vol 20 (2) ◽  
pp. 393-415 ◽  
Author(s):  
E. Morano ◽  
D. J. Mavriplis ◽  
V. Venkatakrishnan
Keyword(s):  
Anisotropic Problems
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