In this paper we proposed a modified Lagrangian functional for obstacle problem, investigated its properties. Then we construct Uzawa method for finding a saddle point, proved the convergence theorems. Some numerical examples are provided.

This paper deals with nonholonomic motion planning including obstacle avoidance capabilities. We show that the methods developed in absence of obstacles can be extended to the problem of obstacle avoidance, provided that they verify a topological property. Such steering methods allow us to design exact and complete collision-free path planners for a large family of systems. We show that the ste...

The deep quench obstacle problem models phase separation at low temperatures. During phase separation, domains of high and low concentration are formed, then coarsen or grow in average size. Of interest is the time dependence of the dominant length scales of the system. Relying on recent results by Novick-Cohen & Shishkov [16], we demonstrate upper bounds for coarsening for the deep quench obst...

Abstract We prove an existence result for obstacle problems related to convection-diffusion parabolic equations with singular coefficients in the convective term. Our operator is not coercive, function time-dependent irregular, and lower-order term belong a borderline mixed Lebesgue-Marcinkiewicz space.

Obstacle marks are instream bedforms, typically composed of an upstream frontal scour hole and a downstream sediment accumulation in the vicinity obstacle. Local scouring at infrastructure (e.g. bridge piers) is well-studied phenomenon hydraulic engineering, while less attention given to time-dependent evolution holes boulders their geometric relations (depth width, length ratio). Furthermore, ...

Cultivated land quality is an essential agricultural resource and production element. To increase cultivated in a targeted way, it crucial to understand the features of regional elements that constrain its quality. In order diagnose restriction factors affecting improvement grades conduct quantitative analysis factors, index model was used this study analyze distribution characteristics East An...

GOLDMAN, SUSAN R., and VARNHAGEN, CONNIE K. Comprehension of Stories with No-Obstacle and Obstacle Endings. CHILD DEVELOPMENT, 1983, 54, 980-992. Comprehension of stories with and without obstacles to goal attainment was examined. 16 secondand fifth-grade students and 16 adults listened to and read single-episode stories in which (1) the protagonist met the episode goal (no-obstacle ending) and...

introduction: this study aimed to compare the thickness of the mesiobuccal furcal canal walls of first and second maxillary molars. materials and methods: this study was performed on total of 30 first and second extracted molar teeth (15 each). the mesiobuccal roots of each tooth were separated at the cement-enamel junction (cej) level and embedded in acrylic resin. the embedded roots were cut ...