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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2005.11
- 수록면
- 87 - 91 (5page)
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초록· 키워드
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We first represent the pressure in terms of the velocity in ?³?. Using this representation we prove that a solution to the Navier-Stokes equations is in L<SUP>∞</SUP>(?³?×(0, ∞)) under the critical assumption that u ∈ L<SUP>r,r′</SUP><SUB>loc</SUB>, 3/r+2/r′ ≤ 1 with r ≥ 3. In [4], a boundary L<SUP>∞</SUP> estimate for the solution is derived if the pressure on the boundary is bounded. In our work, we remove the bounded ness assumption of the pressure. Here, our estimate is local. Indeed, employing Moser type iteration and the reverse Holder inequality, we find an integral estimate for L<SUP>∞</SUP>-norm of u.
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UCI(KEPA) : I410-ECN-0101-2009-410-014677480