Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation
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Publication:5085493
DOI10.1080/03605302.2022.2056702zbMath1492.35141arXiv1907.05342OpenAlexW2960988475MaRDI QIDQ5085493
Julian Fischer, Nicola De Nitti
Publication date: 27 June 2022
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.05342
free boundary problemfinite speed of propagationwaiting time phenomenonhigher-order degenerate parabolic equation
PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Lubrication theory (76D08) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Initial value problems for higher-order parabolic equations (35K30) Quasilinear parabolic equations (35K59)
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Cites Work
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- Behaviour of free boundaries in thin-film flow: the regime of strong slippage and the regime of very weak slippage
- On the regularity for the Navier-slip thin-film equation in the perfect wetting regime
- Cahn-Hilliard and thin film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics
- Infinite speed of support propagation for the Derrida-Lebowitz-Speer-Spohn equation and quantum drift-diffusion models
- Well-posedness for a class of thin-film equations with general mobility in the regime of partial wetting
- Classical solvability of the multidimensional free boundary problem for the thin film equation with quadratic mobility in the case of partial wetting
- Higher order nonlinear degenerate parabolic equations
- Smooth zero-contact-angle solutions to a thin-film equation around the steady state
- The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation
- Long-Time asymptotics for strong solutions of the thin film equation
- On Berni's interpolation inequalities in multiple space dimensions
- Droplet spreading under weak slippage: The optimal asymptotic propagation rate in the multi-dimensional case.
- Stability of receding traveling waves for a fourth order degenerate parabolic free boundary problem
- The thin-film equation close to self-similarity
- The Navier-slip thin-film equation for 3D fluid films: existence and uniqueness
- Doubly nonlinear thin-film equations in one space dimension
- Droplet spreading under weak slippage: the waiting time phenomenon
- Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
- Finite speed of propagation and continuity of the interface for thin viscous flows
- The thin viscous flow equation in higher space dimensions
- The thin film equation with \(2\leq n < 3\): Finite speed of propagation in terms of the \(L^1\)-norm
- The stochastic thin-film equation: existence of nonnegative martingale solutions
- Optimal lower bounds on asymptotic support propagation rates for the thin-film equation
- On uniqueness of weak solutions for the thin-film equation
- A multidimensional nonlinear sixth-order quantum diffusion equation
- Well-posedness for the Navier-slip thin-film equation in the case of complete wetting
- Upper bounds on waiting times for the thin-film equation: the case of weak slippage
- Lower bounds on waiting times for degenerate parabolic equations and systems
- Thin-film equations with ``partial wetting energy: Existence of weak solutions
- Global Nonnegative Solutions of a Nonlinear Fourth-Order Parabolic Equation for Quantum Systems
- Finite-time blow-up of solutions of some long-wave unstable thin film equations
- THE THIN FILM EQUATION WITH NONLINEAR DIFFUSION
- A Free Boundary Problem of Fourth Order: Classical Solutions in Weighted Hölder Spaces
- An Upper Bound for the Waiting Time for Nonlinear Degenerate Parabolic Equations
- The Derrida–Lebowitz–Speer–Spohn Equation: Existence, NonUniqueness, and Decay Rates of the Solutions
- A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
- Dynamics of an anchored Toom interface
- On the motion of a small viscous droplet that wets a surface
- Lubrication approximation with prescribed nonzero contact anggle
- On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
- Existence of Positive Solutions to Stochastic Thin-Film Equations
- Uniqueness for the thin-film equation with a Dirac mass as initial data
- Droplet Spreading Under Weak Slippage—Existence for the Cauchy Problem
- Well‐posedness for the Navier Slip Thin‐Film equation in the case of partial wetting
- The Thin Film Equation with Non-Zero Contact Angle: A Singular Perturbation Approach
- The Spectrum of a Family of Fourth-Order Nonlinear Diffusions Near the Global Attractor
- Small- and Waiting-Time Behavior of the Thin-Film Equation
- Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
- Propagation of support in one-dimensional convected thin-film flow
- Uniqueness of Solutions of the Derrida-Lebowitz-Speer-Spohn Equation and Quantum Drift-Diffusion Models
- On the roughness-induced effective boundary conditions for an incompressible viscous flow
- Variational formulation for the lubrication approximation of the Hele-Shaw flow