Energy minimality property of the connecting solution of the Painlevé phase transition model

C. Sourdis

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arXiv · 1905.04846

Energy minimality property of the connecting solution of the Painlevé phase transition model

C. Sourdis

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Abstract

We establish the energy minimality property of solutions to the generalized Painlevé-II equation $Δy-x_1y-2y^3=0$, $(x_1,x_2)\in \mathbb{R}^2$, which are increasing in $x_2$ and converge to the positive and negative Hastings-McLeod solutions as $x_2\to \pm \infty$.

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C. Sourdis. 2019-05-13. Energy minimality property of the connecting solution of the Painlevé phase transition model. https://arxiv.org/abs/1905.04846

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