NONEXISTENCE OF MONOTONIC SOLUTIONS OF SOME THIRD-ORDER ODE RELEVANT TO THE KURAMOTO-SIVASHINSKY EQUATION

Naoyuki Ishimura; MasaAki Nakamura

doi:10.11650/twjm/1500407295

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Home > Journals > Taiwanese J. Math. > Volume 4 > Issue 4 > Article

2000 NONEXISTENCE OF MONOTONIC SOLUTIONS OF SOME THIRD-ORDER ODE RELEVANT TO THE KURAMOTO-SIVASHINSKY EQUATION

Naoyuki Ishimura, MasaAki Nakamura

Taiwanese J. Math. 4(4): 621-625 (2000). DOI: 10.11650/twjm/1500407295

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Abstract

We study the third-order ordinary differential equations (ODEs) which are relevant to the steady state of the Kuramoto-Sivashinsky equation, and/or to a model of dendritic growth of needle crystals. We show that there is no monotonic solution for certain range of parameter.

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Naoyuki Ishimura. MasaAki Nakamura. "NONEXISTENCE OF MONOTONIC SOLUTIONS OF SOME THIRD-ORDER ODE RELEVANT TO THE KURAMOTO-SIVASHINSKY EQUATION." Taiwanese J. Math. 4 (4) 621 - 625, 2000. https://doi.org/10.11650/twjm/1500407295

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Published: 2000

First available in Project Euclid: 18 July 2017

zbMATH: 0979.34030

MathSciNet: MR1799756

Digital Object Identifier: 10.11650/twjm/1500407295

Subjects:

Primary: 34B15 , 34C11 , 35Q35

Keywords: Kuramoto-Sivashinsky equation , monotonic solution

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Taiwanese J. Math.

Vol.4 • No. 4 • 2000

Mathematical Society of the Republic of China

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Naoyuki Ishimura, MasaAki Nakamura "NONEXISTENCE OF MONOTONIC SOLUTIONS OF SOME THIRD-ORDER ODE RELEVANT TO THE KURAMOTO-SIVASHINSKY EQUATION," Taiwanese Journal of Mathematics, Taiwanese J. Math. 4(4), 621-625, (2000)

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