Results 51 to 60 of about 147 (113)
Advanced Nonlinear StudiesIn this paper, we consider the general dual fractional parabolic problem ∂tαu(x,t)+Lu(x,t)=f(t,u(x,t))inRn×R. ${\partial }_{t}^{\alpha }u\left(x,t\right)+\mathcal{L}u\left(x,t\right)=f\left(t,u\left(x,t\right)\right) \text{in} {\mathbb{R}}^{n}{\times ...
Guo Yahong, Ma Lingwei, Zhang Zhenqiu
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Advances in Nonlinear AnalysisIn this work, we examine the initial boundary value problem for the thermoelastic system with pp-Laplacian, subject to a novel nonlinearity condition within a bounded domain.
Chen Yuxuan
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On a nonlinear Robin problem with an absorption term on the boundary and L1 data
Advances in Nonlinear AnalysisWe deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della +2 more
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On the weakly degenerate Allen-Cahn equation
Advances in Nonlinear Analysis, 2019 In this paper we consider a one-dimensional Allen-Cahn equation with degeneracy in the interior of the domain and Neumann boundary conditions. We allow the diffusivity coefficient vanish at some point of the space domain and we are addressed on the ...
Sônego Maicon
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Euler-α equations in a three-dimensional bounded domain with Dirichlet boundary conditions
Open MathematicsIn this article, we investigate the Euler-α\alpha equations in a three-dimensional bounded domain. On the one hand, we prove in the Euler setting that the equations are locally well-posed with initial data in Hs(s≥3){H}^{s}\left(s\ge 3).
Yuan Shaoliang +3 more
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Effects of anisotropic diffusion in a two-dimensional unstirred chemostat
Advanced Nonlinear StudiesWe investigate an unstirred chemostat model in which two species compete in a two-dimensional environment. The populations are assumed to disperse anisotropically, with distinct probabilities assigned to horizontal and vertical movements, which are ...
Yu Hongqiang, Wu Jianhua
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Advances in Nonlinear AnalysisThis paper studies the two-dimensional Patlak–Keller–Segel–Navier–Stokes (PKS–NS) system in R2 ${\mathbb{R}}^{2}$ near the Couette flow (Ay, 0). Using the Green’s function method, we first derive enhanced dissipation estimates for the linearized system ...
Wang Gaofeng, Wang Weike, Wu Tianfang
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Higher education mobility is a key driver of regional development and human capital formation. While traditional approaches---gravity models, regression-based analyses---capture aggregate determinants of student flows, they are limited in revealing the ...
Gergő Hornák +5 more
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Advances in Nonlinear AnalysisIn this paper, we study the initial-boundary value problem for a viscoelastic Kirchhoff-like plate equation with logarithmic source term. Based on the contraction mapping principle, we prove the local existence and uniqueness of solutions.
Li Junfeng +3 more
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On isolated singularities of Kirchhoff equations
Advances in Nonlinear Analysis, 2020 In this note, we study isolated singular positive solutions of Kirchhoff ...
Chen Huyuan +2 more
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