Konstantinos Spiliopoulos

most citedA Note on the Smoluchowski-Kramers Approximation for the Langevin Equation with Reflection

14 citations · 14 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2010

Reaction Diffusion Equations with Nonlinear Boundary Conditions in Narrow Domains

Mark Freidlin, Konstantinos Spiliopoulos

Second initial boundary problem in narrow domains of width $ε ≪ 1$ for linear second order differential equations with nonlinear boundary conditions is considered in this paper. U…

math.PR2010★ 14 cited

A Note on the Smoluchowski-Kramers Approximation for the Langevin Equation with Reflection

Konstantinos Spiliopoulos

According to the Smoluchowski-Kramers approximation, the solution of the equation $μ q ¨_{t}^{μ} = b (q_{t}^{μ}) - q ˙_{t}^{μ} + Σ (q_{t}^{μ}) W ˙_{t}, q_{0}^{μ} = q, q ˙_{0}^{μ} = p$ converges to the so…

math.PR2010

Wiener Process with Reflection in Non-Smooth Narrow Tubes

Konstantinos Spiliopoulos

Wiener process with instantaneous reflection in narrow tubes of width ε<<1 around axis x is considered in this paper. The tube is assumed to be (asymptotically) non-smooth in the f…