Existence of Positive Solutions to Stochastic Thin-Film Equations
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Publication:4602788
DOI10.1137/16M1098796zbMath1395.76013OpenAlexW2786074944MaRDI QIDQ4602788
Publication date: 2 February 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1098796
stochastic partial differential equationthermal noisethin-film flowstochastic thin-film equationnonnegativity-preserving scheme
Lubrication theory (76D08) Degenerate parabolic equations (35K65) Nonlinear higher-order PDEs (35G20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Higher-order parabolic equations (35K25)
Related Items (11)
Nonlinear dynamics of dewetting thin films ⋮ Zero-contact angle solutions to stochastic thin-film equations ⋮ Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions ⋮ Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation ⋮ The Cox–Voinov law for traveling waves in the partial wetting regime* ⋮ Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise ⋮ Nonnegativity preserving convergent schemes for stochastic porous-medium equations ⋮ A Regularized Dean--Kawasaki Model: Derivation and Analysis ⋮ The stochastic thin-film equation: existence of nonnegative martingale solutions ⋮ On stochastic porous-medium equations with critical-growth conservative multiplicative noise ⋮ Non-negative martingale solutions to the stochastic thin-film equation with nonlinear gradient noise
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