Results 41 to 50 of about 3,933 (187)

Boundary layer analysis for a 2-D Keller-Segel model

open access: yesOpen Mathematics, 2020
We study the boundary layer problem of a Keller-Segel model in a domain of two space dimensions with vanishing chemical diffusion coefficient. By using the method of matched asymptotic expansions of singular perturbation theory, we construct an accurate ...
Meng Linlin, Xu Wen-Qing, Wang Shu
doaj   +1 more source

The evolution of immersed locally convex plane curves driven by anisotropic curvature flow

open access: yesAdvances in Nonlinear Analysis, 2022
In this article, we study the evolution of immersed locally convex plane curves driven by anisotropic flow with inner normal velocity V=1αψ(x)καV=\frac{1}{\alpha }\psi \left(x){\kappa }^{\alpha } for α1\alpha \gt 1, where x∈[0,2mπ]x\in \left[0,2m\pi ] is
Wang Yaping, Wang Xiaoliu
doaj   +1 more source

Adaptive stabilization of continuous‐time systems through a controllable modified estimation model

open access: yesMathematical 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
wiley   +1 more source

Self-Similar Solutions with Elliptic Symmetry for the Compressible Euler and Navier-Stokes Equations in R^{N}

open access: yes, 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

Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation

open access: yesAbstract 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

Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2035-2052, 2003., 2003
We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the supports of the ends of the beam have small displacements.
J. Límaco, H. R. Clark, L. A. Medeiros
wiley   +1 more source

General decay in a Timoshenko-type system with thermoelasticity with second sound

open access: yesAdvances in Nonlinear Analysis, 2015
In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali   +3 more
doaj   +1 more source

Existence and Nonlinear Stability of Stationary Solutions to the Viscous Two-Phase Flow Model in a Half Line

open access: yesCommunications 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

Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation

open access: yesAbstract and Applied Analysis, Volume 2003, Issue 9, Page 521-538, 2003., 2003
We consider a nonlinear parabolic equation involving nonmonotone diffusion. Existence and uniqueness of solutions are obtained, employing methods for semibounded evolution equations. Also shown is the existence of a global attractor for the corresponding dynamical system.
Nikos Karachalios   +2 more
wiley   +1 more source

Dispersive Estimates of Solutions to the Wave Equation with a Potential in Dimensions Two and Three [PDF]

open access: yes, 2005
2000 Mathematics Subject Classification: 35L15, 35B40, 47F05.We prove dispersive estimates for solutions to the wave equation with a real-valued potential ...
Cardoso, Fernando   +2 more
core  

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