Fractal Burgers Equations

Piotr Biler, Tadahisa Funaki, Wojbor A. Woyczynski

研究成果: Article査読

153 被引用数 (Scopus)

抄録

The paper studies local and global in time solutions to a class of multidimensional generalized Burgers-type equations with a fractional power of the Laplacian in the principal part and with general algebraic nonlinearity. Such equations naturally appear in continuum mechanics. Our results include existence, uniqueness, regularity and asymptotic behavior of solutions to the Cauchy problem as well as a construction of self-similar solutions. The role of critical exponents is also explained.

本文言語English
ページ(範囲)9-46
ページ数38
ジャーナルJournal of Differential Equations
148
1
DOI
出版ステータスPublished - 1998 9 1
外部発表はい

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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