Weak solution for stochastic Degasperis-Procesi equation

DOI10.1016/j.jde.2023.11.009zbMath1530.35374OpenAlexW4388786123MaRDI QIDQ6181278

Fernanda Cipriano, Nikolai V. Chemetov

Publication date: 2 January 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2023.11.009

zbMATH Keywords

solvabilitykinetic methodstochastic Degasperis-Procesi equation

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Hyperbolic conservation laws (35L65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Initial value problems for nonlinear higher-order PDEs (35G25) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

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• Global existence for the stochastic Degasperis-Procesi equation
• \(L_{p}\)-solvability of a full superconductive model
• Nonlinear hyperbolic-elliptic systems in the bounded domain
• On the well-posedness of the Degasperis-Procesi equation
• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation
• Formation and dynamics of shock waves in the Degasperis-Procesi equation
• Itô's formula for the \(L _{p }\)-norm of stochastic \({W^{1}_{p}}\)-valued processes
• Scalar conservation laws with stochastic forcing
• Compact sets in the space \(L^ p(0,T;B)\)
• 2-D Euler equation perturbed by noise
• Divergence-measure fields and hyperbolic conservation laws
• On the Cauchy problem for an integrable equation with peakon solutions
• Stochastic reaction-diffusion equations driven by jump processes
• Stochastically forced compressible fluid flows
• On \(L^ {p}\)-solutions of semilinear stochastic partial differential equations.
• Global weak solutions for a new periodic integrable equation with peakon solutions
• The generalized Buckley-Leverett system: solvability
• On the orbital stability of the Degasperis-Procesi antipeakon-peakon profile
• Global solutions and blow-up phenomena for a generalized Degasperis-Procesi equation
• Periodic solutions of the Degasperis-Procesi equation: well-posedness and asymptotics
• Weak solutions of a stochastic model for two-dimensional second grade fluids
• Global existence and blow-up phenomena for the Degasperis-Procesi equation
• Wellposedness for a parabolic-elliptic system
• A Generalized Buckley-Leverett System
• Norm Inflation and Ill-Posedness for the Degasperis-Procesi Equation
• Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
• Stability of peakons for the Degasperis-Procesi equation
• Existence of solutions of the hyperbolic Keller-Segel model
• A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
• Multi-peakon solutions of the Degasperis–Procesi equation
• Global solutions to a new integrable equation with peakons
• Degasperis-Procesi peakons and the discrete cubic string
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Stochastic Navier-Stokes equations
• Stochastic Equations in Infinite Dimensions
• Solvability of the stochastic Degasperis-Procesi equation

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