Splitting-up scheme for nonlinear stochastic hyperbolic equations

DOI10.1515/form.2011.138zbMath1305.60054OpenAlexW2032492422MaRDI QIDQ2855505

Mamadou Sango

Publication date: 25 October 2013

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.138

zbMATH Keywords

compactness methodweak solutionstightness of probability measureshyperbolic stochastic equationssplitting-up scheme

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items (17)

Homogenization of a stochastic model of a single phase flow in partially fissured media ⋮ Limiting dynamics for stochastic nonclassical diffusion equations ⋮ Multiscale analysis of semilinear damped stochastic wave equations ⋮ Existence of a solution to the stochastic nonlocal Cahn–Hilliard Navier–Stokes model via a splitting-up method ⋮ Sigma-convergence of semilinear stochastic wave equations ⋮ Homogenization of a nonlinear stochastic model with nonlinear random forces for chemical reactive flows in porous media ⋮ Approximation of backward stochastic partial differential equations by a splitting-up method ⋮ Homogenization of hyperbolic damped stochastic wave equations ⋮ Weak and strong probabilistic solutions for a stochastic quasilinear parabolic equation with nonstandard growth ⋮ Theoretical study and numerical simulation of pattern formation in the deterministic and stochastic gray-Scott equations ⋮ Approximation of a stochastic two-phase flow model by a splitting-up method ⋮ Splitting-up scheme for the stochastic Cahn–Hilliard Navier–Stokes model ⋮ Homogenization of Neumann problem for hyperbolic stochastic partial differential equations in perforated domains ⋮ Homogenization and correctors for linear stochastic equations via the periodic unfolding methods ⋮ Solution to a stochastic 3D nonlocal Cahn-Hilliard-Navier-Stokes model with shear dependent viscosity via a splitting-up method ⋮ Homogenization of nonlinear hyperbolic stochastic partial differential equations with nonlinear damping and forcing ⋮ A Tartar approach to periodic homogenization of linear hyperbolic stochastic partial differential equation

Cites Work

• Existence results for a doubly degenerate quasilinear stochastic parabolic equation
• Magnetohydrodynamic turbulent flows: existence results
• Asymptotic behavior of solutions of stochastic evolution equations for second grade fluids
• Asymptotics of solutions to semilinear stochastic wave equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Approximation of some stochastic differential equations by the splitting up method
• On the splitting-up method and stochastic partial differential equations
• The stochastic nonlinear damped wave equation
• Stochastic nonlinear beam equations
• Stochastic wave equations with polynomial nonlinearity
• Fractional step method for stochastic evolution equations
• The Cauchy problem for a nonlinear stochastic wave equation in any dimension
• Stochastic wave equations with dissipative damping
• Weak solutions for a doubly degenerate quasilinear parabolic equation with random forcing
• Sur la stabilité et la convergence de la méthode des pas fractionnaires
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Random motion of strings and related stochastic evolution equations
• DENSITY DEPENDENT STOCHASTIC NAVIER–STOKES EQUATIONS WITH NON-LIPSCHITZ RANDOM FORCING
• A splitting method for stochastic goursat problem
• All-Time Existence of Classical Solutions for Slightly Compressible Flows
• On weak solutions of stochastic equations in Hilbert spaces
• Remarks on Nonlinear Stochastic Partial Differential Equations: An Application of the Splitting-Up Method
• On a stochastic wave equation with unilateral boundary conditions
• Stochastic Navier-Stokes equations

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