Long-time behavior and Darwinian optimality for an asymmetric size-structured branching process
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DOI: 10.1007/s00285-021-01695-y
Abstract: We study the long time behavior of an asymmetric size-structured measure-valued growth-fragmentation branching process that models the dynamics of a population of cells taking into account physiological and morphological asymmetry at division. We show that… read more here.
Keywords: size; time behavior; asymmetric size; size structured ... 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
Long Time Behavior of Solutions to the 2D Boussinesq Equations with Zero Diffusivity
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DOI: 10.1007/s10884-019-09802-w
Abstract: We address long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity in the cases of the torus, $${{\mathbb {R}}}^2$$ R 2 , and on a bounded domain with Lions or Dirichlet… read more here.
Keywords: boussinesq equations; solutions boussinesq; behavior solutions; 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
Global well-posedness and long-time behavior of the fractional NLS
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DOI: 10.1007/s40072-021-00210-0
Abstract: In this paper, our discussion mainly focuses on equations with energy supercritical nonlinearities. We establish probabilistic global well-posedness (GWP) results for the cubic Schrödinger equation with any fractional power of the Laplacian in all dimensions.… read more here.
Keywords: behavior fractional; posedness long; global well; time behavior ... See more keywords
Long time behavior of a model for the evolution of morphogens in a growing tissue II: θ
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.10.019
Abstract: Abstract We consider a model for the regulation of growth and patterning in developing tissues by diffusing morphogens expressed in terms of a system of nonlinear PDEs. Transforming such a system in an equation with… read more here.
Keywords: long time; model evolution; behavior model; time behavior ... See more keywords
Space-time behavior of the solution to the Boltzmann equation with soft potentials
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2022.03.024
Abstract: Abstract. In this paper, we get the quantitative space-time behavior of the full Boltzmann equation with soft potentials (−2 < γ < 0) in the close to equilibrium setting, under some velocity decay assumption, but… read more here.
Keywords: time; time behavior; boltzmann equation; space time ... See more keywords
Long time behavior and field-induced instabilities of smectic liquid crystals
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2021.109036
Abstract: Abstract In this paper, we study long time behavior and dynamical instabilities of smectic liquid crystals in an applied magnetic field. Under a planar ansatz of the de Gennes model, we first establish existence of… read more here.
Keywords: field; smectic liquid; time behavior; liquid crystals ... 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 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