Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 11 min ago
PreprintCC BY-SA 4.0arXiv

On a boundary value problem related to radiative heat transfer

Abstract

We consider the boundary value problem y''=κ2yn, y(0)=1, y(1)=0, relevant to radiative heat transfer, chemical reactions, etc. We use upper/lower envelopes to study the qualitative and quantitative dependence of its solution on parameters, and transform it into an easily solvable initial value problem.

Related

  1. Geometric analysis of a mixed elliptic-parabolic conformally invariant boundary value problem
    Jürgen Jost, Lei Liu, Miaomiao Zhu
    ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZEPeer-reviewedLicence not statedFull text6 citedGeneral mathematicsOpenAlex
  2. Derivation of the General Solution of the Black-Scholes Boundary-Value Problem
    ByoungSeon Choi, M. Y. Choi
    arXivPreprintCC BY 4.0Full textMathematical physicsStatistical & nonlinear physicsarXiv
  3. From boundary geometry to counterexamples in Smale's mean value problem
    Tom Adamczewski, Matthew J. Colbrook
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  4. A nonhomogeneous boundary-value problem for the nonlinear KdV equation on star graphs
    Roberto de Almeida Capistrano Filho, Hugo Parada, Jandeilson Santos da Silva
    HALPreprintCC BY 4.0Full textAnalysis & PDEsHAL
  5. Regular points and the boundary-value problem for a hypoelliptic process in a general smooth domain
    Mouad Ramil, Mathias Rousset
    HALPreprintCC BY 4.0Full textProbabilityHALarXiv
BibTeX
@misc{halic2026boundary,
  title = {{On a boundary value problem related to radiative heat transfer}},
  author = {Mihai Halic},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.01472},
  eprint = {2608.01472},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.01472},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - On a boundary value problem related to radiative heat transfer
AU  - Mihai Halic
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2608.01472
UR  - https://arxiv.org/abs/2608.01472
AB  - We consider the boundary value problem y''=κ^2y^n, y(0)=1, y(1)=0, relevant to radiative heat transfer, chemical reactions, etc. We use upper/lower envelopes to study the qualitative and quantitative dependence of its solution on parameters, and transform it into an easily solvable initial value problem.
ER  -