On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients
Sign Up to like & getrecommendations! Published in 2021 at "Stochastics and Partial Differential Equations: Analysis and Computations"
DOI: 10.1007/s40072-021-00222-w
Abstract: We are considering the asimptotic behavior as t → ∞ of solutions of the Cauchy problem for parabolic second order equations with time periodic coefficients. The problem is reduced to considering degenerate time-homogeneous diffusion processes… read more here.
Keywords: problem parabolic; cauchy problem; time; behavior solutions ... See more keywords
Global existence of solutions to the Cauchy problem for an attraction–repulsion chemotaxis system in R2 in the attractive dominant case
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.02.057
Abstract: Abstract We consider the Cauchy problem for an attraction–repulsion chemotaxis system in R 2 with the chemotactic coefficient of the attractant β 1 and that of the repellent β 2 . It is known that… read more here.
Keywords: cauchy problem; case; solutions cauchy; attractive dominant ... See more keywords
On the Collapse of Solutions of the Cauchy Problem for the Cubic Schrödinger Evolution Equation
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DOI: 10.1134/s0001434619010073
Abstract: It is proved that, for some initial data, the solutions of the Cauchy problem for the cubic Schrödinger evolution equation blow up in finite time whose exact value is estimated from above. In addition, lower… read more here.
Keywords: dinger evolution; schr dinger; cubic schr; problem cubic ... See more keywords
Global asymptotics toward the rarefaction waves for solutions to the Cauchy problem of the scalar conservation law with nonlinear viscosity
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DOI: 10.18910/73745
Abstract: In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem for the scalar viscous conservation law where the far field states are prescribed. Especially, we deal with the case when the… read more here.
Keywords: viscosity; cauchy problem; solutions cauchy; problem scalar ... See more keywords