Navier-Stokes equations and nonlinear heat equations in modulation spaces with negative derivative indices |
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Authors: | Tsukasa Iwabuchi |
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Affiliation: | Mathematical Institute, Tohoku University, Sendai 980-8578, Japan |
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Abstract: | The Cauchy problems for Navier-Stokes equations and nonlinear heat equations are studied in modulation spaces . Though the case of the derivative index s=0 has been treated in our previous work, the case s≠0 is also treated in this paper. Our aim is to reveal the conditions of s, q and σ of for the existence of local and global solutions for initial data . |
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Keywords: | Modulation spaces Navier-Stokes equations Heat equations Cauchy problems |
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