Non-linear noise excitation and intermittency under high disorder

DOI10.1090/S0002-9939-2015-12517-8zbMath1321.60136arXiv1302.1621MaRDI QIDQ5264186

Kunwoo Kim, Davar Khoshnevisan

Publication date: 20 July 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1621

zbMATH Keywords

stochastic heat equationintermittencystochastic wave equationnon-linear noise excitation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items

Space-time fractional Anderson model driven by Gaussian noise rough in space ⋮ Weak intermittency of stochastic heat equation under discretizations ⋮ Moment bounds for some fractional stochastic heat equations on the ball ⋮ Dissipation in parabolic SPDEs ⋮ The effect of noise intensity on parabolic equations ⋮ Asymptotic properties of some space-time fractional stochastic equations ⋮ Intermittency for stochastic partial differential equations driven by strongly inhomogeneous space-time white noises ⋮ Moment bounds for a generalized Anderson model with Gaussian noise rough in space ⋮ Remarks on non-linear noise excitability of some stochastic heat equations ⋮ On some properties of a class of fractional stochastic heat equations ⋮ Non-linear noise excitation for some space-time fractional stochastic equations in bounded domains ⋮ Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions ⋮ Nonlinear noise excitation of intermittent stochastic PDEs and the topology of LCA groups

Cites Work

• Remarks on non-linear noise excitability of some stochastic heat equations
• Ideas in the theory of random media
• Time-space white noise eliminates global solutions in reaction-diffusion equations
• Random polymers.
• Intermittence and nonlinear parabolic stochastic partial differential equations
• Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
• The stochastic heat equation: Feynman-Kac formula and intermittence.
• Some non-linear s. p. d. e's that are second order in time
• Nonlinear noise excitation of intermittent stochastic PDEs and the topology of LCA groups
• Quenched to annealed transition in the parabolic Anderson problem
• Lyapunov exponent for the parabolic Anderson model with Lévy noise
• THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
• Fluctuation exponent of the KPZ/stochastic Burgers equation
• Dynamic Scaling of Growing Interfaces
• The random uniform shear layer: An explicit example of turbulent diffusion with broad tail probability distributions
• Parabolic Anderson problem and intermittency
• Cluster formation in complex multi-scale systems
• On the growth of solutions of quasi‐linear parabolic equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Non-linear noise excitation and intermittency under high disorder