Results 1 to 10 of about 22,923 (163)

Existence of Solutions to Elliptic Problem with Convection Term and Lower-Order Term [PDF]

Journal of Function Spaces, 2020
In this paper, we establish the existence of solutions to the following noncoercivity Dirichlet problem −divMx∇u+up−1u=−divuEx+fx,x∈Ω,ux=0,x∈∂Ω, where Ω⊂ℝNN>2 is a bounded smooth domain with 0∈Ω, f belongs to the Lebesgue space LmΩ with m≥1,p>0. The main
Xiaohua He, Shuibo Huang, Qiaoyu Tian, Yonglin Xu   +3 more
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Hölder inequality applied on a non-Newtonian fluid equation with a nonlinear convection term and a source term [PDF]

Journal of Inequalities and Applications, 2018
Consider a non-Newtonian fluid equation with a nonlinear convection term and a source term. The existence of the weak solution is proved by Simon’s compactness theorem.
Huashui Zhan
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On an electrorheological fluid equation with orientated convection term [PDF]

Boundary Value Problems, 2019
A kind of electrorheological fluid equations with orientated convection terms is considered. If the diffusion coefficient a(x,t)∈C1(QT‾) $a(x,t)\in C^{1}(\overline{Q_{T}})$ is degenerate on the boundary ∂Ω, not only the uniqueness of weak solution is ...
Huashui Zhan
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Convergence analysis for double phase obstacle problems with multivalued convection term

Advances in Nonlinear Analysis, 2020
In the present paper, we introduce a family of the approximating problems corresponding to an elliptic obstacle problem with a double phase phenomena and a multivalued reaction convection term.
Zeng Shengda, Bai Yunru, Gasiński Leszek, Winkert Patrick   +3 more
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DStreaM: A Convective Term Approximation Approach That Corresponds to Pure Convection

Mathematics
In recent decades, considerable effort has been devoted to developing higher-order schemes for the discretization of convective terms that are both stable and reliable.
Kiril Shterev
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On a Singular Robin Problem with Convection Terms [PDF]

Advanced Nonlinear Studies, 2020
Abstract In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection term plus a singular one is established.
Guarnotta U., Marano S. A., Motreanu D.
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Influence of Convection Term on Temperature Field during Soil Freezing

Buildings, 2022
In recent years, the numerical model of frozen soil has mainly focused on the water-heat equation of unsaturated soil, which is of great significance to predicting engineering stability in frozen soil areas.
Yingmei Wang, Hanyu Song, Haosen Qin, Xi Wang   +3 more
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Symmetry of Equations with Convection Terms [PDF]

Journal of Nonlinear Mathematical Physics, 1997
Summary: We study symmetry properties of the heat equation with convection term (the equation of convection diffusion) and the Schrödinger equation with convection term. We also investigate the symmetry of systems of these equations with additional conditions for potentials. The obtained results are applied to the construction of exact solutions of the
Fushchych, W. I., Symenoh, Z. I.
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Quasilinear Dirichlet Problems with Degenerated p-Laplacian and Convection Term

Mathematics, 2021
The paper develops a sub-supersolution approach for quasilinear elliptic equations driven by degenerated p-Laplacian and containing a convection term.
Dumitru Motreanu, Elisabetta Tornatore
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(p(x),q(x))-Kirchhoff-Type Problems Involving Logarithmic Nonlinearity with Variable Exponent and Convection Term

Fractal and Fractional, 2022
In the present article, we study a class of Kirchhoff-type equations driven by the (p(x),q(x))-Laplacian. Due to the lack of a variational structure, ellipticity, and monotonicity, the well-known variational methods are not applicable.
Weichun Bu, Tianqing An, Deliang Qian, Yingjie Li   +3 more
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