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Applicable Analysis Volume OnlineFirst: April

Subject Areas: Analysis
Publisher: Taylor & Francis - Taylor & Francis
ISSN: 0003-6811
SJR: 42

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Journal Article

On the existence theory for the nonlinear thermoelastic plate equation

Banquet, Carlos; Doria, Mario; Villamizar-Roa, Élder J.

2024 Applicable Analysis

doi:10.1080/00036811.2023.2202177

In this paper, we analyze the nonlinear thermoelastic plates, with Fourier heat conduction, and consider a polynomial-type nonlinearity. We first develop a theoretical analysis of the corresponding linear system to derive time decay estimates in $ L^{\infty }(\mathbb {R}^n) $ L ∞ ( R n ) and...
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Journal Article

Multiple solutions for polyharmonic equations with exponential nonlinearity

Wu, Zijian; Chen, Haibo

2024 Applicable Analysis

doi:10.1080/00036811.2023.2200454

In this paper, we study the following polyharmonic equation: \[ \begin{cases} -\Delta^m_{\dfrac{n}{m}} u=Q_\lambda(x) |u|^{q-1}u+\left(\displaystyle\int_{\Omega}\dfrac{F(u)}{|x-y|^\mu|y|^\alpha}\,{\rm d}y\right)\dfrac{f(u)}{|x|^\alpha} & \quad\mbox{in}\ \Omega,\\ u=\nabla u=\cdots=\nabla^{m-1}...
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Journal Article

Global strong solutions to the Cauchy problem of the 3D heat-conducting fluids

Ye, Hong

2024 Applicable Analysis

doi:10.1080/00036811.2023.2200508

In this paper, we study the global strong solutions to the three-dimensional (3D) heat-conducting incompressible Navier–Stokes equations with density-temperature-dependent viscosity and heat-conducting coefficients in $ \mathbb {R}^3 $ R 3 . By using the t-weighted a priori estimates, we prove...
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Journal Article

Normalized solutions to the Sobolev critical Kirchhoff-type equation with non-trapping potential

Rong, Ting

2024 Applicable Analysis

doi:10.1080/00036811.2023.2204881

The paper is concerned about the existence of solutions with prescribed $ L^2 $ L 2 -norm to the following Kirchhoff-type equation $$\begin{equation*} -\left(a+b\int_{\mathbb{R}^3}|\nabla u|^2\right)\Delta u+(V+\lambda)u=|u|^{p-2}u+\mu|u|^{q-2}u\ {\rm in}\ \mathbb{R}^3, \end{equation*}$$ − ( a...
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Journal Article

Quasi-periodic solutions for a class of wave equation system

Shi, Yanling

2024 Applicable Analysis

doi:10.1080/00036811.2023.2200398

In this paper, we establish an abstract infinite dimensional KAM theorem. As an application, we use the theorem to study the 1D wave equation system \[ \begin{cases} u_{1tt} - u_{1xx} +\sigma u_1 +u_1u_2^2 = 0 \\ u_{2tt} - u_{2xx} +\mu u_2 +u_1^2 u_2 = 0 \end{cases} \] { u 1 tt − u 1 xx + σ u 1...
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Journal Article

High-frequency homogenization of nonstationary periodic equations

Dorodnyi, M. A.

2024 Applicable Analysis

doi:10.1080/00036811.2023.2199031

In $ L_2(\mathbb{R}) $ L 2 ( R ) , we consider an elliptic differential operator $ A_\varepsilon $ A ϵ , $ \varepsilon \gt 0 $ ϵ > 0 , of the form $ A_\varepsilon = - \frac {{\rm d}}{{\rm d}x} g(x/\varepsilon ) \frac {{\rm d}}{{\rm d}x} + \varepsilon ^{-2} V (x/\varepsilon ) $ A ϵ = − d...
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Journal Article

Asymptotic limits of the Euler–Poisson equations for dissipative measure-valued solutions

Wang, Hongli; Yang, Jianwei

2024 Applicable Analysis

doi:10.1080/00036811.2023.2203192

We prove that the dissipative measure-valued solutions of the 3D compressible Euler–Poisson equations converge to the solution of the incompressible Euler equations in an asymptotic regime, where the Mach number and Debye length tend to zero simultaneously. Furthermore, the convergence rates are...
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Journal Article

Weak solutions to the full MHD system with non-homogeneous boundary conditions

Ni, Anchun; Fan, Jishan

2024 Applicable Analysis

doi:10.1080/00036811.2023.2200790

This paper is devoted to the study of weak solutions for full compressible magnetohydrodynamic flows in a 3D bounded domain, with non-homogeneous boundary condition for the velocity, absolute temperature and density on the inflow part, with Navier-type slip boundary condition for magnetic field....

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