Results 31 to 40 of about 3,713 (117)
Journal of Function Spaces, Volume 8, Issue 1, Page 17-54, 2010., 2010 The present work is devoted to the study of homogenization of the weakly damped wave equation ∫Ωρε∂2uε∂t2(t)⋅υdx+2ε2μ∫ΩfεEij(∂uε∂t(t))Eij(υ)dx+ε2λ∫Ωfεdiv(∂uε∂t(t))div υdx+ϑ∫Ωfεdiv(uε(t))divυdx=∫Ωf(t) · υdx for all υ=(υ1, υ2, υ3) ∈ Vε(0 < t < T), with initial conditions uε(0)=∂uε∂t(0)=ω (the origin in ℝ3). Convergence homogenization results are achieved
Gabriel Nguetseng +3 more
wiley +1 more source
Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
Journal of Function Spaces, Volume 7, Issue 2, Page 121-152, 2009., 2009 We study reiterated homogenization of a nonlinear non‐periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated Σ‐convergence.
Dag Lukkassen +4 more
wiley +1 more source
Properties of entire solutions of some linear PDE's
, 2017 In this paper, there are improved sufficient conditions of boundedness of the L-index in a direction for entire solutions of some linear partial differential equations. They are new even for the one-dimensional case and 1.
Andriy Ivanovych Bandura +2 more
semanticscholar +1 more source
Two‐scale convergence with respect to measures and homogenization of monotone operators
Journal of Function Spaces, Volume 3, Issue 2, Page 125-161, 2005., 2005 In 1989 Nguetseng introduced two‐scale convergence, which now is a frequently used tool in homogenization of partial differential operators. In this paper we discuss the notion of two‐scale convergence with respect to measures. We make an exposition of the basic facts of this theory and develope it in various ways.
Dag Lukkassen +2 more
wiley +1 more source
A note on resonant frequencies for a system of elastic wave equations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 64, Page 3485-3498, 2004., 2004 We present a rather simple proof of the existence of resonant frequencies for the direct scattering problem associated to a system of elastic wave equations with Dirichlet boundary condition. Our approach follows techniques similar to those in Cortés‐Vega (2003).
Luis A. Cortés-Vega
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Communications in Mathematical Research, 2020 The outflow problem for the viscous two-phase flow model in a half line is investigated in the present paper. The existence and uniqueness of the stationary solution is shown for both supersonic state and sonic state at spatial far field, and the ...
Haiyang Zhao
semanticscholar +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 14, Page 721-739, 2004., 2004 We study a family of diffusion models for compounded risk reserves which account for the investment income earned and for the inflation experienced on claim amounts. We are interested in the models in which the dividend payments are paid from the risk reserves.
S. Shao, C. L. Chang
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Adaptive stabilization of continuous‐time systems through a controllable modified estimation model
Mathematical Problems in Engineering, Volume 2004, Issue 2, Page 109-131, 2004., 2004 This paper presents an indirect adaptive control scheme of continuous‐time systems. The estimated plant model is controllable and then the adaptive scheme is free from singularities. Such singularities are avoided through a modification of the estimated plant parameter vector so that its associated Sylvester matrix is guaranteed to be nonsingular. That
M. de la Sen
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, 2011 Based on Makino's solutions with radially symmetry, we extend the corresponding ones with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R^{N} (N\geq2).
Yuen, Manwai
core +1 more source
Abstract and Applied Analysis, Volume 2004, Issue 11, Page 935-955, 2004., 2004 We prove the global existence and study decay properties of the solutions to the wave equation with a weak nonlinear dissipative term by constructing a stable set in H1(ℝn).
Abbès Benaissa, Soufiane Mokeddem
wiley +1 more source