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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…
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Keywords:
evolution;
time;
decay estimates;
exterior domains ... See more keywords
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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…
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Keywords:
non degenerate;
boundary conditions;
anti sitter;
decay estimates ... See more keywords
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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…
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Keywords:
decay estimates;
smooth solution;
equations decay;
estimates smooth ... See more keywords
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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…
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Keywords:
oldroyd model;
time;
optimal time;
time decay ... See more keywords
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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…
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Keywords:
hydrodynamic models;
models two;
decay estimates;
carrier plasmas ... See more keywords
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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…
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Keywords:
living system;
exponential decay;
system models;
estimates components ... See more keywords