Global well-posedness of solutions for the epitaxy thin film growth model
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Publication:5009862
DOI10.15388/namc.2021.26.23936zbMath1470.35172OpenAlexW3184103444MaRDI QIDQ5009862
Ning Duan, Fengnan Liu, Xiaopeng Zhao
Publication date: 6 August 2021
Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15388/namc.2021.26.23936
Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Semilinear parabolic equations (35K58)
Cites Work
- Global well-posedness for the 4D epitaxial growth models
- Solutions of fourth-order parabolic equation modeling thin film growth
- Gradient bounds for a thin film epitaxy equation
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Solutions in \(L_ r\) of the Navier-Stokes initial value problem
- Semilinear evolution equations in Banach spaces
- The Navier-Stokes equations -- a neverending challenge?
- A fourth-order parabolic equation modeling epitaxial thin film growth
- Global well-posedness and regularity criteria for epitaxial growth models
- Local and global existence of solutions to a fourth-order parabolic equation modeling kinetic roughening and coarsening in thin films
- A continuum model of kinetic roughening and coarsening in thin films
- Global regularity of solutions of equation modeling epitaxy thin film growth in \(\mathbb{R}^d\), \(d = 1,2\)
- On the Navier-Stokes initial value problem. I
- A fourth order parabolic equation with nonlinear principal part
- A Cahn-Hilliard type equation with periodic gradient-dependent potentials and sources
- Upper bound on the coarsening rate for an epitaxial growth model
- Thin film epitaxy with or without slope selection
- Some properties of solutions for a fourth‐order parabolic equation
- The existence of global attractor for a fourth-order parabolic equation
- Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy
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