A Free Boundary Problem Arising in Electrophotography: Solutions with Connected Toner Region
نویسندگان
چکیده
منابع مشابه
A free boundary problem arising in flame propagation
We study a free boundary problem describing the propagation of laminar flames. The problem arises as the limit of a singular perturbation problem. We introduce the notion of viscosity solutions for the problem to show the maximum principle-type property of the solutions. Using this property we show the uniform convergence of the approximating solutions and the uniqueness of the viscosity soluti...
متن کاملOn a Free Boundary Problem Arising in Plasma Physics
INTRODUCTION THE PROBLEM we study in this paper has its origin in plasma physics. It stems from a model describing the equilibrium of a plasma confined in a toroidal cavity (a “Tokamak machine”). For a detailed presentation of this model the reader is referred to [l, 21 and also to the appendix in [3]. Let 51 denote the meridian cross section of the cavity and Oz the axis of toroidal symmetry, ...
متن کاملA free boundary problem arising in PDE optimization
A free boundary problem arising from the optimal reinforcement of a membrane or from the reduction of traffic congestion is considered; it is of the form sup ∫ D θ dx=m inf u∈H1 0 (D) ∫ D (1 + θ 2 |∇u| − fu ) dx. We prove the existence of an optimal reinforcement θ and that it has some higher integrability properties. We also provide some numerical computations for θ and u.
متن کاملA non standard free-boundary problem arising from stratigraphy
In this paper, we are interested in the mathematical analysis of a geological stratigraphic model, taking into account a limited weathering condition. Firstly, we present the physical model and the mathematical formulation, which lead to an original conservation law. Then, the definition of a solution and some mathematical tools in order to resolve the problem are given. At last, we treat the 1...
متن کاملAn Unstable Elliptic Free Boundary Problem arising in Solid Combustion
We prove a regularity result for the unstable elliptic free boundary problem ∆u = −χ{u>0} (0.1) related to traveling waves in a problem arising in solid combustion. The maximal solution and every local minimizer of the energy are regular, that is, {u = 0} is locally an analytic surface and u|{u>0}, u|{u<0} are locally analytic functions. Moreover we prove a partial regularity result for solutio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 1992
ISSN: 0036-1410,1095-7154
DOI: 10.1137/0523082