Flocking Hydrodynamics with External Potentials
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DOI: 10.1007/s00205-020-01544-0
Abstract: We study the large-time behavior of a hydrodynamic model which describes the collective behavior of continuum of agents, driven by pairwise alignment interactions with additional external potential forcing. The external force tends to compete with… read more here.
Keywords: hydrodynamics; external potentials; flocking hydrodynamics; hydrodynamics external ... See more keywords
Large Time Decay for the Magnetohydrodynamics System in $\dot{\boldsymbol{H}^{s}}(\mathbb{R}^{n})$
Sign Up to like & getrecommendations! Published in 2019 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-019-00276-y
Abstract: We show that $t^{s/2} \| (\boldsymbol{u},\boldsymbol{b})(t) \|_{{\dot{H}^{s}(\mathbb{R}^{n})}} \to0 $ as $t \to\infty$ for global Leray solutions $(\boldsymbol{u},\boldsymbol{b})(t)$ of the incompressible MHD equations, where $2 \leq n \leq4$ and $s \geq0$ (real). We also provide some… read more here.
Keywords: large time; boldsymbol; magnetohydrodynamics; time decay ... See more keywords
Large Time Behavior of Solution to Nonlinear Dirac Equation in 1+1 Dimensions
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DOI: 10.1007/s10473-019-0221-7
Abstract: This paper studies the large time behavior of solution for a class of nonlinear massless Dirac equations in R1+1. It is shown that the solution will tend to travelling wave solution when time tends to… read more here.
Keywords: solution nonlinear; time; behavior solution; time behavior ... See more keywords
On Large-Time Behavior of Solutions of Parabolic Nondivergent Equations with Increasing Principal Coefficients
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04326-6
Abstract: We investigate sufficient conditions of the stabilization to zero for solutions of the Cauchy problem for linear parabolic second-order equations with increasing principal coefficients and initial-value functions growing at infinity as a power function. read more here.
Keywords: large time; time behavior; principal coefficients; equations increasing ... See more keywords
A Large Time Step explicit scheme (CFL>1) on unstructured grids for 2D conservation laws: Application to the homogeneous shallow water equations
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DOI: 10.1016/j.apm.2017.02.043
Abstract: Abstract In this work, a Large Time Step (LTS) explicit finite volume scheme designed to allow CFL > 1 is applied to the numerical resolution of 2D scalar and systems of conservation laws on triangular… read more here.
Keywords: scheme; conservation laws; time step; large time ... See more keywords
Global existence and large time behaviors of the solutions to the full incompressible Navier-Stokes equations with temperature-dependent coefficients
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DOI: 10.1016/j.jde.2020.10.031
Abstract: Abstract We studied an initial boundary value problem for the full incompressible Navier-Stokes equations with viscosity μ and heat conductivity κ depending on temperature by the power law of Chapman-Enskog. With this focus, the existence… read more here.
Keywords: full incompressible; stokes equations; time; incompressible navier ... See more keywords
Global existence and large time behavior of solutions for compressible quantum magnetohydrodynamics flows in T3
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.03.060
Abstract: Abstract The present paper concerns with compressible quantum magnetohydrodynamic flows in T 3 . This new model was derived by Haas [13] from a Wigner–Maxwell system. First, we reformulate this system as the quantum Euler–Maxwell… read more here.
Keywords: global existence; compressible quantum; behavior solutions; time behavior ... See more keywords
Large time behaviour of solutions to the 3D-NSE in Xσ spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123566
Abstract: Abstract In this paper we study the incompressible Navier-Stokes equations in L 2 ( R 3 ) ∩ X − 1 ( R 3 ) . In the global existence case, we establish that if… read more here.
Keywords: nse spaces; behaviour solutions; time behaviour; large time ... See more keywords
Large time behavior of solutions to a two phase fluid model in R3
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125296
Abstract: Abstract We establish the global existence and large time behavior of a unique classical solution for a two phase fluid model consisting of the compressible isothermal Euler equations coupled with compressible isentropic Navier-Stokes equations via… read more here.
Keywords: large time; phase fluid; time behavior; fluid model ... See more keywords
Large time behavior of solutions to the perturbed Hasegawa-Mima equation
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DOI: 10.1016/s0252-9602(17)30106-6
Abstract: Abstract The large time behavior of solutions to the two-dimensional perturbed Hasegawa-Mima equation with large initial data is studied in this paper. Based on the time-frequency decomposition and the method of Green function, we not… read more here.
Keywords: perturbed hasegawa; time; behavior solutions; time behavior ... See more keywords
The large time behavior of the free boundary for one dimensional compressible Navier-Stokes equations
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DOI: 10.1063/1.5082004
Abstract: In this paper, we study the large time behavior of the free boundary for both full Navier-Stokes (NS) equations with heat conduction (FNS) and isentropic NS equations in one dimensional space. We find an interesting… read more here.
Keywords: fluid; behavior free; time; time behavior ... See more keywords