Results 81 to 90 of about 3,933 (187)

Source term model for elasticity system with nonlinear dissipative term in a thin domain

Demonstratio Mathematica, 2022
This article establishes an asymptotic behavior for the elasticity systems with nonlinear source and dissipative terms in a three-dimensional thin domain, which generalizes some previous works.
Dilmi Mohamed, Dilmi Mourad, Boulaaras Salah, Benseridi Hamid   +3 more
doaj   +1 more source

Logarithmic Sobolev inequality for diffusion semigroups [PDF]

, 2009
Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincar\'e or logarithmic Sobolev inequalities.
Gentil, Ivan
core   +1 more source

Asymptotic study of a nonlinear elliptic boundary Steklov problem on a nanostructure

Demonstratio Mathematica
The present study is related to the existence and the asymptotic behavior of the solution of a nonlinear elliptic Steklov problem imposed on a nanostructure depending on the thickness parameter ε\varepsilon (nano-scale), distributed on the boundary of ...
Maadan Hicham, Messaho Jamal
doaj   +1 more source

Quasi-stability and continuity of attractors for nonlinear system of wave equations

Nonautonomous Dynamical Systems, 2021
In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces.
Freitas M. M., Dos Santos M. J., Ramos A. J. A., Vinhote M. S., Santos M. L.   +4 more
doaj   +1 more source

A simple derivation of BV bounds for inhomogeneous relaxation systems [PDF]

, 2014
We consider relaxation systems of transport equations with heterogeneous source terms and with boundary conditions, which limits are scalar conservation laws. Classical bounds fail in this context and in particular BV estimates.
Perthame, Benoit, Seguin, Nicolas, Tournus, Magali   +2 more
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Analysis of a diffusive host-pathogen model with standard incidence and distinct dispersal rates

Advances in Nonlinear Analysis, 2020
This paper concerns with detailed analysis of a reaction-diffusion host-pathogen model with space-dependent parameters in a bounded domain. By considering the fact the mobility of host individuals playing a crucial role in disease transmission, we ...
Wang Jinliang, Cui Renhao
doaj   +1 more source

On isolated singularities of Kirchhoff equations

Advances in Nonlinear Analysis, 2020
In this note, we study isolated singular positive solutions of Kirchhoff ...
Chen Huyuan, Fall Mouhamed Moustapha, Zhang Binling   +2 more
doaj   +1 more source

Long-time asymptotic behavior for the Hermitian symmetric space derivative nonlinear Schrödinger equation

Advanced Nonlinear Studies
Resorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
doaj   +1 more source

Existence and stability of impulsive coupled system of fractional integrodifferential equations

Demonstratio Mathematica, 2019
In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach’s contraction mapping principle and ...
Zada Akbar, Waheed Hira, Alzabut Jehad, Wang Xiaoming   +3 more
doaj   +1 more source

Existence of infinitely many solutions for the fractional Schr\"odinger- Maxwell equations

, 2015
In this paper, by using variational methods and critical point theory, we shall mainly study the existence of infinitely many solutions for the following fractional Schr\"odinger-Maxwell equations $$( -\Delta )^{\alpha} u+V(x)u+\phi u=f(x,u), \hbox{in } \
Wei, Zhongli
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