Spatial Decay for Solutions to 2-D Boussinesq System with Variable Thermal Diffusivity
Sign Up to like & getrecommendations! Published in 2018 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-017-0136-z
Abstract: In this paper, the authors derive an explicit spatial decay estimate for the time dependent flow of Boussinesq fluid with thermal conductivity depending on the temperature in a semi-infinite strip. By introducing a stream function,… read more here.
Keywords: decay solutions; decay; solutions boussinesq; system variable ... See more keywords
On Decay of Solutions for a System of Coupled Viscoelastic Equations
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DOI: 10.1007/s10440-019-00273-1
Abstract: In this paper, we consider a system of two viscoelastic equations with Dirichlet boundary conditions. For certain class of relaxation functions and initial data, we establish general and optimal decay results. This result extends earlier one of Liu (Nonlinear… read more here.
Keywords: system; viscoelastic equations; decay solutions; coupled viscoelastic ... See more keywords
Decay of solutions for 2D Navier–Stokes equations posed on Lipschitz and smooth bounded and unbounded domains
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.12.010
Abstract: Abstract Initial–boundary value problems for 2D Navier–Stokes equations posed on bounded and unbounded rectangles as well as on bounded and unbounded smooth domains were considered. The existence and uniqueness of regular global solutions in bounded… read more here.
Keywords: stokes equations; decay solutions; unbounded domains; bounded unbounded ... See more keywords
Decay of solutions to parabolic-type problem with distributed order Caputo derivative
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.04.067
Abstract: Abstract We consider the decay of solution to a fractional diffusion equation with distributed order Caputo derivative. We assume that the elliptic operator is time-dependent and that the weight function, contained in the definition of… read more here.
Keywords: order caputo; decay solutions; caputo derivative; distributed order ... See more keywords
Fast and slow decay solutions for supercritical fractional elliptic problems in exterior domains
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DOI: 10.1017/prm.2020.91
Abstract: We consider the fractional elliptic problem: where B1 is the unit ball in ℝ N , N ⩾ 3, s ∈ (0, 1) and p > (N + 2s)/(N − 2s). We prove that this problem has infinitely many solutions with slow decay O(|x|−2s/(p−1)) at… read more here.
Keywords: fast slow; decay solutions; fractional elliptic; slow decay ... See more keywords
General decay of solutions of a Bresse system with viscoelastic boundary conditions
Sign Up to like & getrecommendations! Published in 2017 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2017209
Abstract: In this paper we are concerned with a multi-dimensional Bresse system, in a bounded domain, where the memory-type damping is acting on a portion of the boundary. We establish a general decay results, from which… read more here.
Keywords: decay solutions; bresse system; system viscoelastic; solutions bresse ... See more keywords