Results 31 to 40 of about 390,420 (212)

Global existence and blow-up of weak solutions for a class of fractional p-Laplacian evolution equations

Advances in Nonlinear Analysis, 2020
In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy,
Liao Menglan, Liu Qiang, Ye Hailong
doaj   +1 more source

Global existence of solution to a nonlocal parabolic problem modeling linear friction welding

, 2012
We study a nonlocal parabolic problem airing in the modeling of linear friction welding. Using some a priori estimates, we derive the global in time existence of solution of this nonlocal problem ...
Guo, Lin Yung-Jen, Bei Hu, Guo, Jong-Shenq; Guo, Lin Yung-Jen; Hu, Bei, Jong-Shenq Guo, Yung-Jen Lin Guo   +4 more
core   +1 more source

Threshold Results for the Existence of Global and Blow-Up Solutions to a Time Fractional Diffusion System with a Nonlinear Memory Term in a Bounded Domain

Fractal and Fractional, 2023
In this paper, we consider a time fractional diffusion system with a nonlinear memory term in a bounded domain. We mainly prove some blow-up and global existence results for this problem. Moreover, we also give the decay estimates of the global solutions.
Quanguo Zhang, Yaning Li
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Exponential Scattering for a Damped Hartree Equation

Fractal and Fractional, 2023
This note studies the linearly damped generalized Hartree equation iu˙−(−Δ)su+iau=±|u|p−2(Jγ∗|u|p)u ...
Talal Alharbi, Salah Boulaaras, Tarek Saanouni   +2 more
doaj   +1 more source

Global existence and asymptotic behavior for a nonlinear degenerate SIS model [PDF]

Opuscula Mathematica, 2013
In this paper we investigate the global existence and asymptotic behavior of a reaction diffusion system with degenerate diffusion arising in the modeling and the spatial spread of an epidemic disease.
Tarik Ali Ziane
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Existence and decay of finite energy solutions for semilinear dissipative wave equations in time-dependent domains [PDF]

Opuscula Mathematica, 2020
We consider the initial-boundary value problem for semilinear dissipative wave equations in noncylindrical domain \(\bigcup_{0\leq t \lt\infty} \Omega(t)\times\{t\} \subset \mathbb{R}^N\times \mathbb{R}\). We are interested in finite energy solution.
Mitsuhiro Nakao
doaj   +1 more source

Global existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocities

Advanced Nonlinear Studies, 2022
The Chaplygin gas model is both interesting and important in the theory of gas dynamics and conservation laws, all the characteristic families of which are linearly degenerate. Majda conjectured that the shock formation never happens for smooth data.
Wei Dongyi, Zhang Zhifei, Zhao Wenbin
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Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential

Advances in Nonlinear Analysis, 2019
The Cauchy problem of nonlinear Schrödinger equation with a harmonic potential for describing the attractive Bose-Einstein condensate under the magnetic trap is considered. We give some sufficient conditions of global existence and finite time blow up of
Zhang Mingyou, Ahmed Md Salik
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Global Existence Result for Pair Diffusion Models

, 2005
In this paper we prove a global existence result for pair diffusion models in two dimensions. Such models describe the transport of charged particles in semiconductor heterostructures.
Hünlich, Rolf, Glitzky, Annegret
core   +1 more source

On the behavior of solutions of a doubly nonlinear degenerate parabolic system with nonlinear sources and absorptions with variable densities

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, the problem of a doubly nonlinear degenerate parabolic system with nonlinear sources and absorption terms not located in a homogeneous medium was considered. It obeys zero Dirichlet boundary conditions in a smooth bounded domain.
M.M. Aripov, O.X. Atabaev, A.M. AL-Marashi   +2 more
doaj   +1 more source