Uniform regularity for the Landau-Lifshitz-Maxwell system without Dissipation

Jishan Fan, Tohru Ozawa

    Research output: Contribution to journalArticle

    Abstract

    In this paper, we prove the existence of local solutions to the Cauchy problem for the 3D Landau-Lifshitz-Maxwell system without dissipation, where the local existence time and the corresponding Sobolev estimates are independent of the dielectric constant e{open} with 0 < ε < 1. Consequently, the limit as ε → 0 can be established.

    Original languageEnglish
    Pages (from-to)8547-8557
    Number of pages11
    JournalApplied Mathematical Sciences
    Volume8
    Issue number169-172
    DOIs
    Publication statusPublished - 2014

    Fingerprint

    Maxwell System
    Local Existence
    Local Solution
    Dielectric Constant
    Dissipation
    Cauchy Problem
    Permittivity
    Regularity
    Estimate

    Keywords

    • Landau-Lifshitz-Maxwell
    • Schrffodinger map
    • Uniform existence

    ASJC Scopus subject areas

    • Applied Mathematics

    Cite this

    Uniform regularity for the Landau-Lifshitz-Maxwell system without Dissipation. / Fan, Jishan; Ozawa, Tohru.

    In: Applied Mathematical Sciences, Vol. 8, No. 169-172, 2014, p. 8547-8557.

    Research output: Contribution to journalArticle

    @article{d0b5b5a8db9b4fb3b3be0a767801812e,
    title = "Uniform regularity for the Landau-Lifshitz-Maxwell system without Dissipation",
    abstract = "In this paper, we prove the existence of local solutions to the Cauchy problem for the 3D Landau-Lifshitz-Maxwell system without dissipation, where the local existence time and the corresponding Sobolev estimates are independent of the dielectric constant e{open} with 0 < ε < 1. Consequently, the limit as ε → 0 can be established.",
    keywords = "Landau-Lifshitz-Maxwell, Schrffodinger map, Uniform existence",
    author = "Jishan Fan and Tohru Ozawa",
    year = "2014",
    doi = "10.12988/ams.2014.410874",
    language = "English",
    volume = "8",
    pages = "8547--8557",
    journal = "Applied Mathematical Sciences",
    issn = "1312-885X",
    publisher = "Hikari Ltd.",
    number = "169-172",

    }

    TY - JOUR

    T1 - Uniform regularity for the Landau-Lifshitz-Maxwell system without Dissipation

    AU - Fan, Jishan

    AU - Ozawa, Tohru

    PY - 2014

    Y1 - 2014

    N2 - In this paper, we prove the existence of local solutions to the Cauchy problem for the 3D Landau-Lifshitz-Maxwell system without dissipation, where the local existence time and the corresponding Sobolev estimates are independent of the dielectric constant e{open} with 0 < ε < 1. Consequently, the limit as ε → 0 can be established.

    AB - In this paper, we prove the existence of local solutions to the Cauchy problem for the 3D Landau-Lifshitz-Maxwell system without dissipation, where the local existence time and the corresponding Sobolev estimates are independent of the dielectric constant e{open} with 0 < ε < 1. Consequently, the limit as ε → 0 can be established.

    KW - Landau-Lifshitz-Maxwell

    KW - Schrffodinger map

    KW - Uniform existence

    UR - http://www.scopus.com/inward/record.url?scp=84921282417&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84921282417&partnerID=8YFLogxK

    U2 - 10.12988/ams.2014.410874

    DO - 10.12988/ams.2014.410874

    M3 - Article

    AN - SCOPUS:84921282417

    VL - 8

    SP - 8547

    EP - 8557

    JO - Applied Mathematical Sciences

    JF - Applied Mathematical Sciences

    SN - 1312-885X

    IS - 169-172

    ER -