Results 1 to 10 of about 21,872 (148)

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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Nonlinear Nonhomogeneous Obstacle Problems with Multivalued Convection Term [PDF]

The Journal of Geometric Analysis, 2022
AbstractIn this paper, a nonlinear elliptic obstacle problem is studied. The nonlinear nonhomogeneous partial differential operator generalizes the notions of p-Laplacian while on the right hand side we have a multivalued convection term (i.e., a multivalued reaction term may depend also on the gradient of the solution).
Shengda Zeng, Yunru Bai, Leszek Gasiński   +2 more
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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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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. Proofs chiefly exploit sub-super-solution and truncation techniques, set-valued analysis, recursive methods ...
Guarnotta U., Marano S. A., Motreanu D.
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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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Convective Terms and Transversely Driven Charge-Density Waves [PDF]

Physical Review Letters, 2000
We derive the convective terms in the damping which determine the structure of the moving charge-density wave (CDW), and study the effect of a current flowing transverse to conducting chains on the CDW dynamics along the chains. In contrast to a recent prediction we find that the effect is orders of magnitude smaller, and that contributions from ...
Artemenko, S. N., Zaitsev-Zotov, S. V., Minakova, V. E., Monceau, P.   +3 more
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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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Nonlinear elliptic boundary value problems with convection term and Hardy potential

Moroccan Journal of Pure and Applied Analysis, 2023
In this paper, we deal with a nonlinear elliptic problems that incorporate a Hardy potential and a nonlinear convection term. We establish the existence and regularity of solutions under various assumptions concerning the summability of the source term f.
Achhoud Fessel, Bouajaja Abdelkader, Redwan Hicham   +2 more
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