Gradient bounds for a thin film epitaxy equation
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Publication:729924
DOI10.1016/j.jde.2016.10.025zbMath1364.35115arXiv1410.7572OpenAlexW2962817781WikidataQ57653335 ScholiaQ57653335MaRDI QIDQ729924
Dong Li, Tao Tang, ZhongHua Qiao
Publication date: 22 December 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.7572
PDEs in connection with fluid mechanics (35Q35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Higher-order parabolic equations (35K25)
Related Items (16)
Finite time blow-up for a thin-film equation with initial data at arbitrary energy level ⋮ Infinitely many sign-changing solutions for a class of biharmonic equation with \(p\)-Laplacian and Neumann boundary condition ⋮ Errors of an Implicit Variable-Step BDF2 Method for a Molecular Beam Epitaxial Model with Slope Selection ⋮ Well-posedness and stability for a class of fourth-order nonlinear parabolic equations ⋮ Global well-posedness and regularity criteria for epitaxial growth models ⋮ The BDF3/EP3 scheme for MBE with no slope selection is stable ⋮ Global well-posedness of weak solutions and a regularity criterion of strong solutions for an epitaxial growth model ⋮ On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations ⋮ An improved gradient bound for 2D MBE ⋮ Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations ⋮ Global dynamics of a fourth-order parabolic equation describing crystal surface growth ⋮ The operator-splitting method for Cahn-Hilliard is stable ⋮ Global well-posedness of solutions for the epitaxy thin film growth model ⋮ Global well-posedness and large time behavior of epitaxy thin film growth model ⋮ On the Cahn-Hilliard-Brinkman Equations in $\mathbb{R}^4$: Global Well-Posedness ⋮ Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation
Cites Work
- On a generalized maximum principle for a transport-diffusion model with \(\log\)-modulated fractional dissipation
- Unconditionally stable schemes for equations of thin film epitaxy
- Strong illposedness of the incompressible Euler equation in integer \(C^m\) spaces
- On a frequency localized Bernstein inequality and some generalized Poincaré-type inequalities
- Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces
- Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models
- Convergence of solutions to cahn-hilliard equation
- Thin film epitaxy with or without slope selection
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
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