Finite time blow-up for a thin-film equation with initial data at arbitrary energy level
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.08.047
Abstract: Abstract In this paper, we consider the initial boundary value problem for a class of thin-film equations in R n with a p -Laplace term and a nonlocal source term | u | q −… read more here.
Keywords: finite time; energy; time; thin film ... See more keywords
Criteria on global boundedness versus finite time blow-up to a two-species chemotaxis system with two chemicals*
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DOI: 10.1088/1361-6544/aa96c9
Abstract: This paper considers the two-species chemotaxis system with two chemicals in a smooth bounded domain , subject to the non-flux boundary condition, and . We obtain a blow-up criterion that if , then there exist… read more here.
Keywords: finite time; time blow; system; global boundedness ... See more keywords
Finite time blow-up and global solutions for a nonlocal parabolic equation with Hartree type nonlinearity
Sign Up to like & getrecommendations! Published in 2020 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2020134
Abstract: This paper is concerned with the initial boundary value problem of a nonlocal parabolic equation. By establishing the comparison principle and studying the long-time behavior of its flow, we find the criteria for finite time… read more here.
Keywords: finite time; parabolic equation; time; nonlocal parabolic ... See more keywords