Blowup of solutions of the unsteady Prandtl's equation

E. Weinan; Bjorn Engquist

doi:10.1002/(sici)1097-0312(199712)50:12<1287::aid-cpa4>3.0.co;2-4

Blowup of solutions of the unsteady Prandtl's equation

E. Weinan
, Bjorn Engquist

Mathematics

Research output: Contribution to journal › Article › peer-review

197 Scopus citations

Abstract

We prove that for certain classes of compactly supported C^∞ initial data, smooth solutions of the unsteady Prandtl's equation blow up in finite time.

Original language	English (US)
Pages (from-to)	1287-1293
Number of pages	7
Journal	Communications on Pure and Applied Mathematics
Volume	50
Issue number	12
DOIs	https://doi.org/10.1002/(sici)1097-0312(199712)50:12<1287::aid-cpa4>3.0.co;2-4
State	Published - Dec 1997

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1002/(sici)1097-0312(199712)50:12<1287::aid-cpa4>3.0.co;2-4

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title = "Blowup of solutions of the unsteady Prandtl's equation",

abstract = "We prove that for certain classes of compactly supported C∞ initial data, smooth solutions of the unsteady Prandtl's equation blow up in finite time.",

author = "E. Weinan and Bjorn Engquist",

year = "1997",

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doi = "10.1002/(sici)1097-0312(199712)50:12<1287::aid-cpa4>3.0.co;2-4",

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AU - Weinan, E.

AU - Engquist, Bjorn

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N2 - We prove that for certain classes of compactly supported C∞ initial data, smooth solutions of the unsteady Prandtl's equation blow up in finite time.

AB - We prove that for certain classes of compactly supported C∞ initial data, smooth solutions of the unsteady Prandtl's equation blow up in finite time.

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DO - 10.1002/(sici)1097-0312(199712)50:12<1287::aid-cpa4>3.0.co;2-4

M3 - Article

AN - SCOPUS:0038911371

SN - 0010-3640

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JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

IS - 12

ER -

Blowup of solutions of the unsteady Prandtl's equation

Abstract

All Science Journal Classification (ASJC) codes

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