A transport model with adsorption hysteresis
Małgorzata Peszyńska, Ralph E. Showalter · Differential and Integral Equations · 1998
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.