Exponential crystal relaxation model with \(p\)-Laplacian
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Publication:6116121
DOI10.1007/s00033-023-02041-6zbMath1518.35217arXiv2302.00091OpenAlexW4381741993MaRDI QIDQ6116121
Publication date: 17 July 2023
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.00091
Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92) PDEs in connection with statistical mechanics (35Q82)
Cites Work
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- Compact sets in the space \(L^ p(0,T;B)\)
- Global existence and decay to equilibrium for some crystal surface models
- Mathematical validation of a continuum model for relaxation of interacting steps in crystal surfaces in 2 space dimensions
- Global stability for solutions to the exponential PDE describing epitaxial growth
- Global strong solution with BV derivatives to singular solid-on-solid model with exponential nonlinearity
- Strong solutions to a fourth order exponential PDE describing epitaxial growth
- Existence Theorems for a Multidimensional Crystal Surface Model
- Existence Theorems for a Crystal Surface Model Involving the $p$-Laplace Operator
- Partial regularity for an exponential PDE in crystal surface models
- Gradient flow approach to an exponential thin film equation: global existence and latent singularity
- Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime
- Continuum Relaxation of Interacting Steps on Crystal Surfaces in $2+1$ Dimensions
- The growth of crystals and the equilibrium structure of their surfaces
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