Viscous scalar conservation law with stochastic forcing: strong solution and invariant measure

Keywords: Stochastic partial differential equations, conservation laws, kinetic formulation, invariant measure.. MSC: 60H15

If β is defined as in (A3), then Theorem 1.1 implies also the existence of a unique mild solution of the equation (1.8), which describes the homogeneous model. Theorem 3.4

The present paper has been devoted to develop criteria based on stochastic Lyapunov technique in order to establish sufficient conditions for the existence of invariant

Keywords: Stochastic partial differential equations, conservation laws, kinetic formulation, invariant measure.. MSC: 60H15

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We study the high frequency limit for the dissipative Helmholtz equation when the source term concentrates on a submanifold of R n.. We prove that the solution has a

Math. Crist´ ofani, “Orbital stability of periodic traveling-wave solutions for the log-KdV equation”, J. Kiyashko, and A.V. Pelinovsky, “Sharp bounds on enstrophy growth in

In this section, we also study numerically the rate of convergence of ϑ N,∆t to ϑ N and observe a weak error of order ∆t, even when the flux function is not small and not