The linear transport equation is supplemented with a hysteresis operator to obtain a local model of adsorption--desorption. The resulting nonlinear initial-boundary-value problem is shown to have a unique differentiable global solution when the hysteresis functional has a symmetric convex graph. An explicit solution is given for an elementary example, and a formula is given for the representation of smooth cases of such functionals.
"A transport model with adsorption hysteresis." Differential Integral Equations 11 (2) 327 - 340, 1998.