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Energy dissipation of weak solutions for a surface growth model
Y Wang, W Wei, Y Ye, H Yu - Journal of Differential Equations, 2024 - Elsevier
In this paper, we derive the dissipation term in the local energy balance law of weak
solutions for a surface growth model arising in the molecular-beam-epitaxy process by using …
solutions for a surface growth model arising in the molecular-beam-epitaxy process by using …
On the higher derivatives estimate of the surface growth equation
W Wei, Y Wang, Y Huang - Nonlinear Analysis, 2023 - Elsevier
In this paper, we are concerned with the higher derivatives estimate of the surface growth
equation which has similar features to the 3D Navier–Stokes equations. We extend the well …
equation which has similar features to the 3D Navier–Stokes equations. We extend the well …
Partial regularity of suitable weak solutions of the model arising in amorphous molecular beam epitaxy
In this paper, we are concerned with the precise relationship between the Hausdorff
dimension of possible singular point set S of suitable weak solutions and the parameter α in …
dimension of possible singular point set S of suitable weak solutions and the parameter α in …
New regularity criterion for suitable weak solutions of the surface growth model
We present a new regularity criterion for suitable weak solutions of the one-dimensional
surface growth initial-value problem in terms of mixed Lebesgue norms.
surface growth initial-value problem in terms of mixed Lebesgue norms.
Local existence and uniqueness in Besov spaces for the solution of a surface growth model with fractional power nonlinear term
W Qingkai, WU Gang - Journal of University of Chinese Academy …, 2024 - journal.ucas.ac.cn
In this paper we study the Cauchy problem for the 4-th order nonlinear equation ${{\partial} _
{t}} h+\partial _ {x}^{4} h+\partial _ {x}^{2}\left ({{\left|{{\partial} _ {x}} h\right|}^{\alpha}}\right) …
{t}} h+\partial _ {x}^{4} h+\partial _ {x}^{2}\left ({{\left|{{\partial} _ {x}} h\right|}^{\alpha}}\right) …
[ЦИТИРОВАНИЕ][C] Energy conservation and Onsager's conjecture for a surface growth model
W Wei, Y Ye, X Mei - Dynamics of Partial Differential …, 2023 - International Press of Boston