BLOW UP OF SOLUTIONS TO THE SECOND SOUND EQUATION IN ONE SPACE DIMENSION
スポンサーリンク
概要
- 論文の詳細を見る
In this paper, we study blow ups of solutions to the second sound equation ∂t2u=u∂x(u∂xu), which is more natural than the second sound equation in Landau-Lifshitzs text in large time. We assume that the initial data satisfies u(0,x)≥ δ>0 for some δ. We give sufficient conditions that two types of blow up occur: one of the two types is that L∞-norm of ∂tu or ∂xu goes up to the infinity; the other type is that u vanishes, that is, the equation degenerates.
- 九州大学大学院数理学研究院の論文
著者
-
Kato Keiichi
Department Of Mathematics Tokyo University Of Science
-
Kato Keiichi
Department Of Applied Chemistry Ehime University
-
SUGIYAMA Yuusuke
Department of Mathematics Tokyo University of Science
関連論文
- A Retinal Pigment Epithelium-derived Cell Line from Transgenic Mouse Harboring Temperature-sensitive Simian Virus 40 Large T-antigen Gene
- Wellposedness and Analytic Smoothing Effect for the Benjamin-Ono Equation
- Wellposedness and analytic smoothing effect for the Benjamin-Ono equation
- LIPID-MEMBRANE CHARACTERISTICS OF LARGE LIPID-VESICLES PREPARED BY TWO-STEP EMULSIFICATION TECHNIQUE AND ENZYMATIC NAD^+-RECYCLING IN THE VESICLES
- METHOD OF ESTIMATING SURFACE EXCESS OF METAL ION IN FOAM SEPARATION
- REMARKS ON WIENER AMALGAM SPACE TYPE ESTIMATES FOR SCHRODINGER EQUATION (Harmonic Analysis and Nonlinear Partial Differential Equations)
- Adsorption of magnesium in foam separation technique.
- BLOW UP OF SOLUTIONS TO THE SECOND SOUND EQUATION IN ONE SPACE DIMENSION
- Estimation of Surface Excess of Surfactant under Coexisting Salts in Foam Separation