IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-13344-7_34.html
   My bibliography  Save this book chapter

Well-Posedness and Asymptotic Behavior for Compressible Flows in One Dimension

In: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Author

Listed:
  • Yuming Qin

    (Donghua University, Department of Applied Mathematics, College of Science)

Abstract

This short survey introduces some results on the global well-posedness and asymptotic behavior of strong (generalized) solutions (including the existence of universal (global) attractors) to the 1D nonstationary equations of viscous polytropic gases, heat-conducting gases, and barotropic gases. In Sect. 3, the existence theory framework of H i (i = 1, 2, 4)−global (generalized) solutions and global attractors of viscous real gases for the initial boundary value problem are introduced. In Sect. 4, such an existence theory framework for the Cauchy problem with some modifications is also given.

Suggested Citation

  • Yuming Qin, 2018. "Well-Posedness and Asymptotic Behavior for Compressible Flows in One Dimension," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 42, pages 2325-2420, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13344-7_34
    DOI: 10.1007/978-3-319-13344-7_34
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-319-13344-7_34. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.