Results 11 to 20 of about 4,035,775 (371)
The primitive equations approximation of the anisotropic horizontally viscous 3D Navier-Stokes equations [PDF]
Journal of Differential Equations, 2021 . In this paper, we provide rigorous justification of the hydrostatic approximation and the derivation of primitive equations as the small aspect ratio limit of the incompressible three-dimensional Navier-Stokes equations in the anisotropic horizontal ...
Jinkai Li, E. Titi, Guo Yuan
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Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations [PDF]
Journal of Differential Equations, 2021 In this paper, we study the decay rates for the global small smooth solutions to 3D anisotropic incompressible Navier-Stokes equations. In particular, we prove that the horizontal components of the velocity field decay like the solutions of 2D classical ...
L. Xu, P. Zhang
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Anisotropic fast diffusion equations
Nonlinear Analysis, 2023 62 pages. Typos corrected, references added, text provided with very detailed proofs.
Feo F., Vázquez J. L., Volzone B.
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On some nonlinear anisotropic elliptic equations in anisotropic Orlicz space [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In the present paper, the authors will discuss the solvability of a class of nonlinear anisotropic elliptic problems (P), with the presence of a lower-order term and a non-polynomial growth which does not satisfy any sign condition which is ...
Omar Benslimane +2 more
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Capillary Schwarz symmetrization in the half-space
Advanced Nonlinear Studies, 2023 In this article, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as the counterpart of the classical Schwarz symmetrization in the framework of capillary problem in the half-space.
Lu Zheng, Xia Chao, Zhang Xuwen
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On sequences of solutions for discrete anisotropic equations [PDF]
Expositiones mathematicae, 2016 Taking advantage of a recent critical point theorem, the existence of infinitely many solutions for an anisotropic problem with a parameter is established.
Giovanni Molica Bisci, Dušan D. Repovš
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Regularity results for local solutions to some anisotropic elliptic equations [PDF]
Israel Journal of Mathematics, 2020 In this paper we study the higher integrability of local solutions for a class of anisotropic equations with lower order terms whose growth coefficients lay in Marcinkiewicz spaces. A condition for the boundedness of such solutions is also given.
G. di Blasio, F. Feo, Gabriella Zecca
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Exact Solutions of Reaction–Diffusion PDEs with Anisotropic Time Delay
Mathematics, 2023 This study is devoted to reaction–diffusion equations with spatially anisotropic time delay. Reaction–diffusion PDEs with either constant or variable transfer coefficients are considered.
Andrei D. Polyanin, Vsevolod G. Sorokin
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper we are going to investigate a free boundary value problem for the anisotropic N-Laplace operator on a ring domain Ω:=Ω0\Ω¯1⊂N\Omega : = {\Omega _0}\backslash {\bar \Omega _1} \subset {\mathbb{R}^N}, N ≥ 2.
Nicolescu A. E., Vlase S.
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