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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2009.5
- 수록면
- 231 - 232 (2page)
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In this paper, an asymptotic approximate solution to the Burgers equation is constructed. The heat equation with nonnegative initial value, has a linear combination of n heat kernels as an approximate solution with convergence order O(t<SUP>1/2r-2n+1/2</SUP>) in L<SUP>r</SUP>-norm, 1≤r≤∞, as t → ∞. Unlike the heat equation, the Burgers equation is nonlinear which questions the existence of the approximate solutions. However, the Cole-Hopf transformation transforms solution of nonlinear Burgers equation into the solution of the li ... 전체 초록 보기
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UCI(KEPA) : I410-ECN-0101-2012-410-003697420