Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques
DOI10.1137/22m1505207zbMath1530.35295arXiv2206.04135OpenAlexW4376150213MaRDI QIDQ6164113
Publication date: 30 June 2023
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.04135
heat equationboundary integral equationsHelmholtz equationasymptotic analysisdielectric and plasmonic resonanceslayer and volume potentials
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Heat equation (35K05) Inverse problems for PDEs (35R30) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Motion of charged particles (78A35) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary integral operators for the heat equation
- Functional analysis, Sobolev spaces and partial differential equations
- Electromagnetic scattering by small dielectric inhomogeneities.
- Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains
- Some properties of the operators of potential theory and their application to the investigation of the basic equation of electrostatics and magnetostatics
- An integration by parts formula for the bilinear form of the hypersingular boundary integral operator for the transient heat equation in three spatial dimensions
- Mathematical analysis of the photo-acoustic imaging modality using resonating dielectric nano-particles: the \(2D\) TM-model
- 1. Space-time boundary element methods for the heat equation
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. I
- Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. II
- Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. III
- Boundary integral solution of the two-dimensional heat equation
- Mathematical modeling of the photoacoustic effect generated by the heating of metallic nanoparticles
- Heat Generation with Plasmonic Nanoparticles
- Estimation of the Heat Conducted by a Cluster of Small Cavities and Characterization of the Equivalent Heat Conduction
- Linear integral equations
- Inverse acoustic and electromagnetic scattering theory
This page was built for publication: Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques