Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Zejian Cui"'
Decay estimate and blow-up for a fourth order parabolic equation modeling epitaxial thin film growth
Publikováno v:
AIMS Mathematics, Vol 8, Iss 5, Pp 11297-11311 (2023)
In this paper, we study a fourth order parabolic equation modeling epitaxial thin film growth. By using the potential well method and some inequality techniques, we obtain the decay estimate of weak solutions. Meanwhile, the blow-up time is estimated
Externí odkaz:
https://doaj.org/article/3df0b17d40094eeebb6bbc84c893ee91
Publikováno v:
Applicable Analysis. 87:1041-1052
This article deals with the critical curve of a fast diffusive polytropic filtration system coupled at the boundary condition. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence curve. The critical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c3bfc6f129460b18b819fa2337dccb8
https://doi.org/10.1080/00036810802428912
https://doi.org/10.1080/00036810802428912
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik. 60:284-298
This paper deals with the critical curves of the fast diffusive polytropic filtration equations coupled via nonlinear boundary flux. By constructing self-similar super and sub solutions we obtain the critical global existence curve. The critical curv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d09d943ad40c25b5ee358511f673c507
https://doi.org/10.1007/s00033-008-7095-1
https://doi.org/10.1007/s00033-008-7095-1
Autor:
Zejian Cui
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 68:3201-3208
In this paper, we consider the existence and non-existence of global solutions of the non-Newtonian polytropic filtration equations with nonlinear boundary conditions. We first obtain the critical global existence curve by constructing various self-s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca02ef9ea899b7bc5d5c5f9e2c7a1ca5
https://doi.org/10.1016/j.na.2007.03.013
https://doi.org/10.1016/j.na.2007.03.013
Publikováno v:
Applied Mathematics and Computation. 199:292-300
This paper deals with the blow-up properties of the solution to degenerate and singular parabolic system with localized sources and homogeneous Dirichlet boundary conditions. The existence of a unique classical nonnegative solution is established and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6312f7bf03418bcced398ecfbfcda28
https://doi.org/10.1016/j.amc.2007.09.054
https://doi.org/10.1016/j.amc.2007.09.054
Publikováno v:
Acta Mathematica Scientia. 27:92-106
This article deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system u t = Δ u l + u p 1 v q 1 and v t = Δ v m + u p 2 v q 2 with homogeneous Dirichlet boundary conditions. The results depend cruciall
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9caf11a3e24408fb1af8454ddef94501
https://doi.org/10.1016/s0252-9602(07)60008-3
https://doi.org/10.1016/s0252-9602(07)60008-3
Publikováno v:
Zeitschrift für Angewandte Mathematik und Physik (ZAMP); Mar2009, Vol. 60 Issue 2, p284-298, 15p