Structure of shocks in Burgers turbulence with Lévy noise initial data

DOI10.1007/s10955-013-0777-xzbMath1286.60055arXiv1204.4752OpenAlexW2086284892MaRDI QIDQ369679

Joshua Abramson

Publication date: 19 September 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4752

zbMATH Keywords

Burgers equationfluctuation theoryLévy noiseMoreau envelopeabrupt processrandomized coterminal time

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Singular perturbations in context of PDEs (35B25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items

Scalar conservation laws with white noise initial data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Concave majorant of stochastic processes and Burgers turbulence
• The convex minorant of a Lévy process
• Kinetic theory and Lax equations for shock clustering and Burgers turbulence
• Statistics of shocks in solutions of inviscid Burgers equation
• The inviscid Burgers equation with initial data of Brownian type
• Burgers-KPZ turbulence. Göttingen lectures
• Large-deviations estimates in Burgers turbulence with stable noise initial data
• Hausdorff dimension of regular points in stochastic Burgers flows with Lévy \(\alpha\)-stable initial data
• Crossing points of Lévy processes and general theory of processes
• The statistics of Burgers turbulence initialized with fractional Brownian noise data
• Comparison of two components of a bivariate subordinator and study of the upper envelope of a Lévy process
• On regular points in Burgers turbulence with stable noise initial data
• Limit clusters in the inviscid Burgers turbulence with certain random initial velocities.
• Structure of shocks in Burgers turbulence with stable noise initial data
• Statistical properties of shocks in Burgers turbulence. II: Tail probabilities for velocities, shock-strengths and rarefaction intervals
• Statistical properties of shocks in Burgers turbulence
• Lipschitz minorants of Brownian motion and Lévy processes
• Passage of Lévy processes across power law boundaries at small times
• Abrupt Lévy processes.
• Variational Analysis
• What Shape Is Your Conjugate? A Survey of Computational Convex Analysis and Its Applications
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics
• Genealogy of shocks in Burgers turbulence with white noise initial velocity