ANALYTIC SELF-SIMILAR SOLUTIONS OF THE KARDAR-PARISI-ZHANG INTERFACE GROWING EQUATION WITH VARIOUS NOISE TERMS

DOI10.3846/mma.2020.10459zbMath1479.35185arXiv1904.01838OpenAlexW3011769695MaRDI QIDQ5016244

Mohammed Guedda, Krisztián Hriczó, Gabriella Bognár, László Mátyás, Imre F. Barna

Publication date: 13 December 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.01838

zbMATH Keywords

Heun functionsGaussian noiseself-similar solutionspecial functionsKPZ equationLorentzian noise

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) PDEs with randomness, stochastic partial differential equations (35R60) Semilinear parabolic equations (35K58) Self-similar solutions to PDEs (35C06)

Related Items (3)

Scaling properties of a class of interfacial singular equations ⋮ A new stable, explicit, and generic third‐order method for simulating conductive heat transfer ⋮ ANALYTIC SOLUTIONS OF A TWO-FLUID HYDRODYNAMIC MODEL

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