Continuous dependence estimate for conservation laws with Lévy noise

Continuous dependence on coefficients for stochastic evolution equations with multiplicative Levy Noise and monotone nonlinearity

Semilinear stochastic evolution equations with multiplicative L'evy noise are considered‎. ‎The drift term is assumed to be monotone nonlinear and with linear growth‎. ‎Unlike other similar works‎, ‎we do not impose coercivity conditions on coefficients‎. ‎We establish the continuous dependence of the mild solution with respect to initial conditions and also on coefficients. ‎As corollaries of ...

Finite volume schemes for nonhomogeneous scalar conservation laws: error estimate

In this paper, we study nite volume schemes for the nonhomogeneous scalar conservation law u t +divF(x; t; u) = q(x; t; u) with initial condition u(x; 0) = u 0 (x). The source term may be either stii or nonstii. In both cases, we prove error estimates between the approximate solution given by a nite volume scheme (the scheme is totally explicit in the nonstii case, semi-implicit in the stii cas...

Error Estimate for Godunov Approximation of Locally Constrained Conservation Laws

Discrete and continuous scalar conservation laws

The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Abstract Motivated by issues arising for discrete second-order conservation laws and their continuum limits (applicable, for example, to one-dimensional nonlinear spring-mass systems), here we study the corresponding issues in the simpler setting of first-order conservation law...

continuous dependence on coefficients for stochastic evolution equations with multiplicative levy noise and monotone nonlinearity

semilinear stochastic evolution equations with multiplicative l'evy noise are considered‎. ‎the drift term is assumed to be monotone nonlinear and with linear growth‎. ‎unlike other similar works‎, ‎we do not impose coercivity conditions on coefficients‎. ‎we establish the continuous dependence of the mild solution with respect to initial conditions and also on coefficients. ‎as corollarie...