Homogenization with strong contrasting diffusivity in a circular oscillating domain with \(L^1\) source term
DOI10.1007/s10231-022-01259-xOpenAlexW4295008580MaRDI QIDQ2687955
A. K. Nandakumaran, Renjith Thazhathethil, Abu Sufian
Publication date: 7 March 2023
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-022-01259-x
homogenizationrenormalized solutionperiodic unfoldingcircular oscillating domainoscillating boundary domain
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order elliptic equations (35J15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35) Homogenization for problems in thermodynamics and heat transfer (80M40)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homogenization of a hyperbolic equation with highly contrasting diffusivity coefficients.
- The effective conductivity equation for a highly heterogeneous periodic medium
- Homogenization of the brush problem with a source term in \(L^{1}\)
- Non-local effects by homogenization or 3D-1D dimension reduction in elastic materials reinforced by stiff fibers
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Nonlinear equations with unbounded heat conduction and integrable data
- Homogenization of oscillating boundaries
- On the solutions to 1-Laplacian equation with \(L^1\) data
- Homogenization of renormalized solutions of elliptic equations
- Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization
- Locally periodic unfolding operator for highly oscillating rough domains
- Strong contrasting diffusivity in general oscillating domains: homogenization of optimal control problems
- Nonlinear problems with unbounded coefficients and \(L^1\) data
- Limit models for thin heterogeneous structures with high contrast
- Neumann problems for nonlinear elliptic equations with \(L^1\) data
- Diffusion through a composite structure with a high contrasting diffusivity
- Periodic Controls in an Oscillating Domain: Controls via Unfolding and Homogenization
- Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
- Semi-linear optimal control problem on a smooth oscillating domain
- Homogenization of Highly Oscillating Boundaries with Strongly Contrasting Diffusivity
- Existence of renormalized solutions to nonlinear elliptic equations with two lower order terms and measure data
This page was built for publication: Homogenization with strong contrasting diffusivity in a circular oscillating domain with \(L^1\) source term
