Decay Estimates of Gradient of a Generalized Oseen Evolution Operator Arising from Time-Dependent Rigid Motions in Exterior Domains
Sign Up to like & getrecommendations! Published in 2020 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-020-01541-3
Abstract: Let us consider the motion of a viscous incompressible fluid past a rotating rigid body in three dimensions, where the translational and angular velocities of the body are prescribed but time-dependent. In a reference frame… read more here.
Keywords: evolution; time; decay estimates; exterior domains ... See more keywords
Asymptotic Properties of Linear Field Equations in Anti-de Sitter Space
Sign Up to like & getrecommendations! Published in 2020 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03601-6
Abstract: We study the global dynamics of the wave equation, Maxwell’s equation and the linearized Bianchi equations on a fixed anti-de Sitter (AdS) background. Provided dissipative boundary conditions are imposed on the dynamical fields we prove… read more here.
Keywords: non degenerate; boundary conditions; anti sitter; decay estimates ... See more keywords
Decay estimates of the smooth solution to the compressible magnetohydrodynamic equations on T3
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.04.010
Abstract: Abstract Consider the time decay rates of the smooth solution to the compressible MHD system on T 3 . It is shown that if the density ρ is uniformly bounded from up and below, and… read more here.
Keywords: decay estimates; smooth solution; equations decay; estimates smooth ... See more keywords
Optimal time-decay estimates for an Oldroyd-B model with zero viscosity
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.10.046
Abstract: In this work, we consider the Cauchy problem for a diffusive Oldroyd-B model in three dimensions. Some optimal time-decay rates of the solutions are derived via analysis of upper and lower time-decay estimates provided that… read more here.
Keywords: oldroyd model; time; optimal time; time decay ... See more keywords
Optimal decay estimates for nonisentropic hydrodynamic models of two-carrier plasmas
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125001
Abstract: Abstract The global existence of classical solutions to the non-isentropic hydrodynamic models of two-carrier plasmas has been demonstrated in spatially critical spaces (see [29] ). However, the corresponding large-time behavior remains an open question. In… read more here.
Keywords: hydrodynamic models; models two; decay estimates; carrier plasmas ... See more keywords
Exponential Decay Estimates For Some Components of Solutions to the Nonlinear Delay Differential Equations of the Living System Models
Sign Up to like & getrecommendations! Published in 2020 at "Siberian Mathematical Journal"
DOI: 10.1134/s0037446620040126
Abstract: Studying the behavior of solutions to the Cauchy problem for a family of nonlinear functional differential equations with delay which arise in the living system models, we establish the conditions that provide some exponential decay estimates… read more here.
Keywords: living system; exponential decay; system models; estimates components ... See more keywords