A multiscale asymptotic expansion for combustion system with composite materials
DOI10.1016/j.cam.2023.115678OpenAlexW4388567234MaRDI QIDQ6145200
Publication date: 30 January 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2023.115678
homogenizationcomposite materialsmultiscale asymptotic expansionthermal protection systemcombustion system
Composite and mixture properties (74E30) Thermal effects in solid mechanics (74F05) Flows in porous media; filtration; seepage (76S05) Gas dynamics (general theory) (76N15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Asymptotic expansions of solutions to PDEs (35C20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Combustion (80A25) Chemically reacting flows (80A32) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization for problems in thermodynamics and heat transfer (80M40) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
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- Construction of upper and lower solutions for a problem of combustion theory
- Concerning an equation in the theory of combustion
- Existence and blow-up for a parabolic system from combustion theory
- A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients
- Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients
- Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients
- Asymptotic stability of reaction-diffusion systems in chemical reactor and combustion theory
- Relaxation oscillations in combustion models of thermal self-ignition
- Sur la convergence de solutions d'équations paraboliques
- Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains.
- Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains
- Multiscale computational method for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains
- Finite element approximation of the Dirichlet problem using the boundary penalty method
- A double \(S\)-shaped bifurcation curve for a reaction-diffusion model with nonlinear boundary conditions
- A multiscale parallel algorithm for dual-phase-lagging heat conduction equation in composite materials
- Multiscale computational method for nonlinear heat transmission problem in periodic porous media
- Second-order asymptotic analysis and computations of axially and spherically symmetric piezoelectric problems for composite structures
- Multiscale approach for stochastic elliptic equations in heterogeneous media
- Multiscale finite element methods for nonlinear problems and their applications
- Multiscale analysis and algorithm of transient electromagnetic scattering from heterogeneous materials
- Homogenization of a Conductive, Convective, and Radiative Heat Transfer Problem in a Heterogeneous Domain
- The Finite Element Method with Penalty
- A nonlinear parabolic system in the theory of combustion
- G-convergence of parabolic operators
- Numerical Homogenization of Nonlinear Random Parabolic Operators
- Asymptotic Transport Models for Heat and Mass Transfer in Reactive Porous Media
- An Efficient MultiModes Monte Carlo Homogenization Method for Random Materials
- Global Regularity and Multiscale Approach for Thermal Radiation Heat Transfer
- Asymptotic Behavior of One-Step Combustion Models with Multiple Reactants on Bounded Domains
- Theoretical Numerical Analysis
- ASYMPTOTIC EXPANSION AND CONVERGENCE THEOREM OF CONTROL AND OBSERVATION ON THE BOUNDARY FOR SECOND-ORDER ELLIPTIC EQUATION WITH HIGHLY OSCILLATORY COEFFICIENTS
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