Navier-Stokes equations in the Besov spaces near L∞ and BMO

• KOZONO Hideo

  Mathematical Institute Tohoku University

• OGAWA Takayoshi

  Faculty of Mathematics Kyushu University

• TANIUCHI Yasushi

  Department of Mathematical Sciences Shinshu University

書誌事項

タイトル別名

• NAVIER-STOKES EQUATIONS IN THE BESOV SPACE NEAR L∞ AND BMO

抄録

We prove a local existence theorem for the Navier-Stokes equations with the initial data in B⁰_∞,∞ containing functions which do not decay at infinity. Then we establish an extension criterion on our local solutions in terms of the vorticity in the homogeneous Besov space B^·0_∞,∞.

収録刊行物

• 九州数学雑誌

  九州数学雑誌 57 (2), 303-324, 2003

  九州大学大学院数理学研究院

キーワード

• General Mathematics

詳細情報

• CRID: 1390282680206468608
• NII論文ID: 110001263203
• NII書誌ID: AA10994346
• DOI: 10.2206/kyushujm.57.303
• ISSN: 18832032
• ISSN: 13406116
• ISSN: http://id.crossref.org/issn/13406116
• MRID: 2050088
• Web Site: https://www.jstage.jst.go.jp/article/kyushujm/57/2/57_2_303/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可