Global existence for a thin film equation with subcritical mass
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Publication:524092
DOI10.3934/dcdsb.2017070zbMath1360.35183OpenAlexW2588327639MaRDI QIDQ524092
Publication date: 25 April 2017
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2017070
PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Lubrication theory (76D08) Degenerate parabolic equations (35K65) Higher-order parabolic equations (35K25)
Related Items (2)
Existence and regularity of source-type self-similar solutions for stable thin-film equations ⋮ Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime
Cites Work
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- Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent \(m > 0\)
- On an unstable thin-film equation in multi-dimensional domains
- Darcy's flow with prescribed contact angle: well-posedness and lubrication approximation
- Higher order nonlinear degenerate parabolic equations
- Smooth zero-contact-angle solutions to a thin-film equation around the steady state
- Droplet spreading under weak slippage: The optimal asymptotic propagation rate in the multi-dimensional case.
- 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
- Well-posedness of the Cauchy problem for a fourth-order thin film equation via regularization approaches
- On uniqueness of weak solutions for the thin-film equation
- Thin-film equations with ``partial wetting energy: Existence of weak solutions
- Finite-time blow-up of solutions of some long-wave unstable thin film equations
- Vorticity and Incompressible Flow
- Blow-up with mass concentration for the long-wave unstable thin-film equation
- Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3
- Selfsimilar blowup of unstable thin-film equations
- A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
- Long-wave instabilities and saturation in thin film equations
- Thin Films with High Surface Tension
- Lubrication approximation with prescribed nonzero contact anggle
- The lubrication approximation for thin viscous films: the moving contact line with a 'porous media' cut-off of van der Waals interactions
- On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
- Droplet Spreading Under Weak Slippage: A Basic Result on Finite Speed of Propagation
- Blowup and dissipation in a critical-case unstable thin film equation
- Droplet Spreading Under Weak Slippage—Existence for the Cauchy Problem
- Properties of steady states for thin film equations
- 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
- Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
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