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Numerical investigation of a new class of waves in an open nonlinear heat-conducting medium

open access: yesOpen Mathematics, 2013
Dimova Milena   +2 more
doaj   +1 more source
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Energy Estimate Related to a Hardy-Trudinger-Moser Inequality

Journal of Partial Differential Equations, 2019
Let B1 be a unit disc of R2, and H be a completion of C∞ 0 (B1) under the norm ∥u∥H = ∫ B1 ( |∇u|2− u 2 (1−|x|2)2 ) dx. Using blow-up analysis, Wang-Ye [1] proved existence of extremals for a Hardy-TrudingerMoser inequality.
Yunyan Yang sci
semanticscholar   +1 more source

A Class of Periodic Solutions of One-Dimensional Landau-Lifshitz Equations

, 2017
We study one-dimensional Landau-Lifshitz Equations and give the sufficient and necessary conditions for the existence of a class of periodic solutions.
Xi Chen, R. Jiang, Youde Wang
semanticscholar   +1 more source

Sharp Conditions on Global Existence and Non-Global Existence of Solutions of Cauchy Problem for 1D Generalized Boussinesq Equations

, 2017
This paper consider the Cauchy problem for a class of 1D generalized Boussinesq equations utt−uxx−uxxtt+uxxxx+uxxxxtt= f (u)xx. By utilizing the potential well method and giving some conditions on f (u), we obtain the invariance of some sets and obtain ...
Xiuyan Peng, Yi Niu
semanticscholar   +1 more source

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