Results 101 to 110 of about 6,469 (186)

On decay of entropy solutions to multidimensional conservation laws [PDF]

arXiv, 2019
Under a precise genuine nonlinearity assumption we establish the decay of entropy solutions of a multidimensional scalar conservation law with merely continuous flux.
arxiv  

Nonlinear diffusion of dislocation density and self-similar solutions [PDF]

, 2008
We study a nonlinear pseudodifferential equation describing the dynamics of dislocations. The long time asymptotics of solutions is described by the self-similar profiles.
arxiv   +1 more source

Asymptotic behavior of solutions of a viscoelastic Shear beam model with no rotary inertia: General and optimal decay results

Open Mathematics
In this study, we consider a viscoelastic Shear beam model with no rotary inertia. Specifically, we study ρ1φtt−κ(φx+ψ)x+(g∗φxx)(t)=0,−bψxx+κ(φx+ψ)=0,\begin{array}{rcl}{\rho }_{1}{\varphi }_{tt}-\kappa {\left({\varphi }_{x}+\psi )}_{x}+\left(g\ast ...
Al-Mahdi Adel M.
doaj   +1 more source

Well-posedness of Cauchy problem of fractional drift diffusion system in non-critical spaces with power-law nonlinearity

Advances in Nonlinear Analysis
In this article, we consider the global and local well-posedness of the mild solutions to the Cauchy problem of fractional drift diffusion system with higher-order nonlinearity. The main difficulty comes from the higher-order nonlinearity. Instead of the
Gu Caihong, Tang Yanbin
doaj   +1 more source

Pullback attractors for fractional lattice systems with delays in weighted space

Open Mathematics
This article deals with the asymptotic behavior of fractional lattice systems with time-varying delays in weighted space. First, we establish some sufficient conditions for the existence and uniqueness of solutions.
Li Xintao, Wang Shengwen
doaj   +1 more source

On the absence of rapidly decaying solutions for parabolic operators whose coefficients are non-Lipschitz continuous in time [PDF]

arXiv, 2004
We find minimal regularity conditions on the coefficients of a parabolic operator, ensuring that no nontrivial solution tends to zero faster than any exponential.
arxiv  

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

On Davies' conjecture and strong ratio limit properties for the heat kernel [PDF]

arXiv, 2005
We study strong ratio limit properties and the exact long time asymptotics of the heat kernel of a general second-order parabolic operator which is defined on a noncompact Riemannian manifold.
arxiv  

A memory-type thermoelastic laminated beam with structural damping and microtemperature effects: Well-posedness and general decay

Demonstratio Mathematica
In previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa, Yazid Fares, Boulaaras Salah Mahmoud   +2 more
doaj   +1 more source

Spectral Theory and Nonlinear PDE: a Survey [PDF]

arXiv, 2005
This is a slightly modified version of the survey article. Minor changes to the text and the references have been made.
arxiv