Search Results - "Yan, Xingjie"
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1
Global Attractor and Singular Limits of the 3D Voigt-regularized Magnetohydrodynamic Equations
Published in Journal of mathematical fluid mechanics (2025)“…In this article, the 3D Voigt-regularized Magnetohydrodynamic equations are considered, for which it is unknown if the uniqueness of weak solution exists…”
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2
Deformation response of roof in solid backfilling coal mining based on viscoelastic properties of waste gangue
Published in International journal of mining science and technology (01-03-2021)“…Solid backfill mining (SBM) is a form of green mining, the core of which is to control and minimize the deformation and movement of strata above longwall coal…”
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3
A study of nonlinear elliptic problems involving supercritical and exponential growth in RN
Published in Mathematical methods in the applied sciences (01-12-2017)“…In this paper, we consider the multiplicity of solutions of the p‐Laplacian problems involving supercritical Sobolev growth and exponential growth in RN via…”
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4
Determination of the 3D Navier-Stokes equations with damping
Published in Electronic research archive (01-01-2022)“…This paper is concerned the determination of trajectories for the three-dimensional Navier-Stokes equations with nonlinear damping subject to periodic boundary…”
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5
Positive solutions for the fractional Schrödinger equations with logarithmic and critical non‐linearities
Published in Transactions of the London Mathematical Society (01-12-2021)“…In this paper, we study a class of fractional Schrödinger equations involving logarithmic and critical non‐linearities on an unbounded domain, and show that…”
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6
Approximation of Smooth Stable Invariant Manifolds for Stochastic Partial Differential Equations
Published in Journal of partial differential equations (01-06-2019)Get full text
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7
Random Perturbation of Invariant Manifolds for Non-Autonomous Dynamical Systems
Published in Mathematics (Basel) (01-03-2022)“…Random invariant manifolds are geometric objects useful for understanding dynamics near the random fixed point under stochastic influences. Under the framework…”
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8
Dynamics of 2D Navier-Stokes equations with Rayleigh's friction and distributed delay
Published in Electronic journal of differential equations (12-06-2019)“…This article concerns the long time dynamics of a 2D incompressible Navier-Stokes equation with Rayleigh's friction and distributed delay. Under appropriate…”
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9
Multiple solutions of nonlinear fractional elliptic equations via Morse theory
Published in Electronic journal of differential equations (16-09-2017)“…This article concerns the existence and multiplicity of weak solutions of the nonlinear fractional elliptic problem. We extend some well known results of…”
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10
Positive Solutions for Coupled Nonlinear Fractional Differential Equations
Published in Journal of Applied Mathematics (01-01-2014)“…We consider the existence of positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary values. Assume the…”
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11
Pullback trajectory attractor for nonautonomous wave equations
Published in Communications in nonlinear science & numerical simulation (01-05-2023)“…We consider the dynamical behavior for nonautonomous wave equations without uniqueness. The existence of both pullback weak and strong trajectories is proved…”
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12
Existence Theory for Pseudo-Symmetric Solution to -Laplacian Differential Equations Involving Derivative
Published in Abstract and applied analysis (2011)“…We all-sidedly consider a three-point boundary value problem for -Laplacian differential equation with nonlinear term involving derivative. Some new sufficient…”
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13
Approximate the dynamical behavior for stochastic systems by Wong–Zakai approaching
Published in Journal of mathematical analysis and applications (01-01-2018)“…Random invariant manifolds and foliations play an important role in the study of the qualitative dynamical behaviors for nonlinear stochastic partial…”
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14
Invariant Manifolds for a PDE-ODE Coupled System
Published in Journal of dynamics and differential equations (28-02-2024)Get full text
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15
Dynamical behaviour of non-autonomous 2D Navier-Stokes equations with singularly oscillating external force
Published in Dynamical systems (London, England) (01-09-2011)“…The purpose of this article is to analyse the dynamical behaviour of solutions of the non-autonomous 2D Navier-Stokes equations with singularly oscillating…”
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16
Deformation response of roof in solid backfilling coal mining based on viscoelastic properties of waste gangue
Published in 矿业科学技术学报(英文版) (2021)“…Solid backfill mining (SBM) is a form of green mining, the core of which is to control and minimize the deformation and movement of strata above longwall coal…”
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17
Homoclinic orbits for a class of second order dynamic equations on time scales via variational methods
Published in Advances in difference equations (08-02-2017)“…In this paper, we study the existence of nontrivial homoclinic orbits of a dynamic equation on time scales T of the form { ( p ( t ) u Δ ( t ) ) Δ + q σ ( t )…”
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18
Uniform attractors for impulsive reaction–diffusion equations
Published in Applied mathematics and computation (01-07-2010)“…The goal of this paper is to consider the long time behavior of solutions of reaction–diffusion equations with impulsive effects at fixed moment of time. Under…”
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19
On pullback attractor for non-autonomous weakly dissipative wave equations
Published in Dynamical systems (London, England) (01-03-2009)“…We first present a necessary and sufficient condition for the existence of a pullback -attractor for non-autonomous infinite-dimensional dynamical systems…”
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20
Existence Theory for Pseudo-Symmetric Solution to p-Laplacian Differential Equations Involving Derivative
Published in Abstract and applied analysis (2011)“…We all-sidedly consider a three-point boundary value problem for p-Laplacian differential equation with nonlinear term involving derivative. Some new…”
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