Results 91 to 100 of about 289 (126)

Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem.
Wiśniewski Damian
doaj   +1 more source

Initial layer problem of the Boussinesq system for Rayleigh-Bénard convection with infinite Prandtl number limit

Open Mathematics, 2018
The main purpose of this paper is to study the initial layer problem and the infinite Prandtl number limit of Rayleigh-Bénard convection with an ill prepared initial data.
Fan Xiaoting, Wang Shu, Xu Wen-Qing, Liu Mingshuo   +3 more
doaj   +1 more source

Asymptotic behavior of solutions of a free boundary model with seasonal succession and impulsive harvesting

Advances in Nonlinear Analysis
In this article, we consider the influence of seasonal succession and impulsive harvesting on the dynamical behavior of solutions to a free boundary model. First, the generalized principal eigenvalue is defined and its properties are studied.
Li Yanglei, Han Xuemei, Sun Ningkui
doaj   +1 more source

Global existence and decay estimates of the classical solution to the compressible Navier-Stokes-Smoluchowski equations in ℝ3

Advances in Nonlinear Analysis
The compressible Navier-Stokes-Smoluchowski equations under investigation concern the behavior of the mixture of fluid and particles at a macroscopic scale. We devote to the existence of the global classical solution near the stationary solution based on
Tong Leilei
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Local Energy Decay in Even Dimensions for the Wave Equation with a Time-Periodic Non-Trapping Metric and Applications to Strichartz Estimates [PDF]

, 2010
2000 Mathematics Subject Classification: 35B40, 35L15.We obtain local energy decay as well as global Strichartz estimates for the solutions u of the wave equation ∂t2 u-divx(a(t,x)∇xu) = 0, t ∈ R, x ∈ Rn, with time-periodic non-trapping metric a(t,x ...
Kian, Yavar, Yavar Kian
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On the large solutions to a class of k-Hessian problems

Advanced Nonlinear Studies
In this paper, we consider the k-Hessian problem S k(D 2 u) = b(x)f(u) in Ω, u = +∞ on ∂Ω, where Ω is a C ∞-smooth bounded strictly (k − 1)-convex domain in RN ${\mathbb{R}}^{N}$ with N ≥ 2, b ∈ C∞(Ω) is positive in Ω and may be singular or vanish on ∂Ω,
Wan Haitao
doaj   +1 more source

Solutions to the Equations of Viscous Quantum Hydrodynamics in Multiple Dimensions

, 2008
We study the viscous model of quantum hydrodynamics in a bounded domain of space di-mension 1, 2, or 3. This model is a mixed order partial differential system with nonlocal and nonlinear terms for the particle density, current density and electric ...
Mathematik Informatik, Michael Dreher, Konstanzer Schriften   +2 more
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Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities

Advances in Nonlinear Analysis
This article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities.
Liu Yuan-Hao, Bu Zhen-Hui, Zhang Suobing
doaj   +1 more source

Cauchy problem for the localized wave propagation in continuous model of the one-dimensional diatomic crystal

We study the continuous approximation model of the localized wave propagation corresponding to the one-dimensional Cauchy problem for the diatomic crystal lattice.
Sergey Sergeev
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Runge-Kutta Methods for Hyperbolic Conservation Laws with Stiff Relaxation Terms

, 1995
Underresolved numerical schemes for hyperbolic conservation laws with stiff relaxation terms may generate unphysical spurious numerical results or reduce to lower order if the small relaxation time is not temporally well-resolved.
Shi Jin
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