Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Ruy Coimbra Charão"'
Publikováno v:
Journal of Differential Equations. 311:188-228
We consider a wave equation with a nonlocal logarithmic damping depending on a small parameter $\theta \in (0,1/2)$. This research is a counter part of that was initiated by Charao-D'Abbicco-Ikehata considered in [5] for the large parameter case $\th
Publikováno v:
Communications on Pure & Applied Analysis. 19:4433-4454
In this work we study asymptotic properties of global solutions for an initial value problem of a second order fractional differential equation with structural damping. The evolution equation considered includes plate equation problems. We show asymp
We introduce a new model of the logarithmic type of wave like plate equation with a nonlocal logarithmic damping mechanism. We consider the Cauchy problem for this new model in the whole space, and study the asymptotic profile and optimal decay rates
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f826325d85d97258e0900f185f027550
http://arxiv.org/abs/2104.08468
http://arxiv.org/abs/2104.08468
We study a nonlocal wave equation with logarithmic damping which is rather weak in the low frequency zone as compared with frequently studied strong damping case. We consider the Cauchy problem for this model in the whole space and we study the asymp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1ec832b62635d2a13414b57f83a063b
http://arxiv.org/abs/2009.06395
http://arxiv.org/abs/2009.06395
Publikováno v:
Proceeding Series of the Brazilian Society of Computational and Applied Mathematics.
In this work we study the existence and uniqueness of solutions for a second order semilinear δ-α-γ-evolution equation with fractional damping term which includes some partial differential equations as plate equation under effects of rotational in
Publikováno v:
Journal of Mathematical Analysis and Applications. 506:125587
We introduce a new model of the logarithmic-type of wave-like equation with a nonlocal logarithmic damping mechanism, which is weakly effective compared with the frequently studied fractional damping equations. We consider the Cauchy problem for this
Autor:
Ruy Coimbra Charão, Ryo Ikehata
Publikováno v:
Funkcialaj Ekvacioj. 60:239-257
Autor:
Ruy Coimbra Charão, Ryo Ikehata
Publikováno v:
Hokkaido Math. J. 48, no. 2 (2019), 357-383
We consider the asymptotic behavior as $t \to +\infty$ of the $L^{2}$-norm of the velocity of the linearized compressible Navier-Stokes equations in ${\bf R}^{n}$ ($n \geq 2$). As an application we shall study the optimality of the decay rate for the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f834e33bd4c1cb9f923a401912d1705
https://projecteuclid.org/euclid.hokmj/1562810515
https://projecteuclid.org/euclid.hokmj/1562810515
Publikováno v:
Journal of Mathematical Analysis and Applications. 440:529-560
In this work we study decay rates for the L 2 -norm of solutions to the plate equation with fractional damping and a pseudo fractional rotational inertia term. We also show that the decay rates depending on the fractional power of the damping term ar
Publikováno v:
Ciência e Natura. 42:e37
In this work we study the existence and uniqueness of solutions and decay rates to the total energy and the L2-norm of solution for a semilinear second order evolution equation with fractional damping term and under effects of a generalized rotationa