Bulletin, Institute of Mathematics, Academia Sinica
logo-Bulletin, Institute of Mathematics, Academia Sinica

Bulletin, Institute of Mathematics, Academia Sinica
logo_m-Bulletin, Institute of Mathematics, Academia Sinica

    Jump To中央區塊/Main Content :::
  • Editorial Board
  • Archives
  • Special Issues
  • Submission
  • Subscription
  • Contact Us
search
Bulletin of the Institute of
Mathematics Academia Sinica
NEW SERIES
  • Home
  • Archives
  • Bulletin of the Institute of Mathematics Academia Sinica (New Series)
  • Facebook
  • line
  • email
  • Twitter
  • Print
2017 / March Volume 12 No.1
Hopf-Cole Transformation
Published Date
2017 / March
Title
Hopf-Cole Transformation
Author
Tai-Ping Liu
Keyword
Hopf-Cole transformation, Burgers equation, Historical perspectives.
Download
Download PDF
Pagination
71-101
Abstract
The Hopf-Cole transformation turning the strongly nonlinear Burgers equation into the linear heat equation plays an important role in the development of mathematical sciences. In this article the transformation is viewed from historical perspectives. Some open problems concerning the application of the Hopf-Cole transformation are also raised.
DOI
10.21915/BIMAS.2017103
https://doi.org/10.21915/BIMAS.2017103
AMS Subject
Classification
Primary 35L65, 76H15, Secondary 35L67, 76H05.
Received
2017-02-09
  • Editorial Board
  • Archives
  • Special Issues
  • Submission
  • Subscription
  • Contact Us

Institute of Mathematics, Academia Sinica 6th Floor, Astronomy‐Mathematics Building, No. 1, Section 4, Roosevelt Road, Taipei, 10617 Taiwan R.O.C.

Tel: +886‐2‐2368‐5999 ext. 382 Fax: +886‐2‐2368‐9771 Email: bulletin@math.sinica.edu.tw

© Copyright 2023. Math Sinica All Rights Reserved.Privacy Policy & Security Policy