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pro vyhledávání: '"35K25, 35K30"'
Autor:
Wu, Hao
Publikováno v:
Electron. Res. Arch., 30(8) (2022), 2788-2832
The Cahn-Hilliard equation is a fundamental model that describes the phase separation process in multi-component mixtures. It has been successfully extended to many different contexts in several scientific fields. In this survey article, we briefly r
Externí odkaz:
http://arxiv.org/abs/2112.13812
Autor:
Du, Hengrong, Yip, Nung Kwan
We show that self-similar solutions for the mean curvature flow, surface diffusion and Willmore flow of entire graphs are stable upon perturbations of initial data with small Lipschitz norm. Roughly speaking, the perturbed solutions are asymptoticall
Externí odkaz:
http://arxiv.org/abs/2108.13538
Autor:
Fino, Ahmad Z.
In this paper, we establish blow-up rates for higher-order semilinear parabolic equations with nonlocal in time nonlinearity with no positive assumption on the solution. We also give Liouville-type theorem for higher-order semilinear parabolic equati
Externí odkaz:
http://arxiv.org/abs/2005.13627
Autor:
Hussein, Amru
Publikováno v:
Journal of Differential Equations, 269(4): 3003-3030, 2020
The $3$-D primitive equations and incompressible Navier-Stokes equations with full hyper-viscosity and only horizontal hyper-viscosity are considered on the torus, i.e., the diffusion term $-\Delta$ is replaced by $-\Delta+ \varepsilon(-\Delta)^{l}$
Externí odkaz:
http://arxiv.org/abs/1809.03954
Autor:
Karimov, Shakhobiddin
In the work an explicit formula of a solution of analogue of a Cauchy problem for an inhomogeneous manydimensional polycaloric equation with Bessel operator was found. Manydimensional Erdelyi-Kober operator of the fractional order was applied to cons
Externí odkaz:
http://arxiv.org/abs/1711.00098
Autor:
Amru Hussein
The $3$-D primitive equations and incompressible Navier-Stokes equations with full hyper-viscosity and only horizontal hyper-viscosity are considered on the torus, i.e., the diffusion term $-\Delta$ is replaced by $-\Delta+ \varepsilon(-\Delta)^{l}$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc51eaf6e6c78c4c4338b309a037661f
http://arxiv.org/abs/1809.03954
http://arxiv.org/abs/1809.03954