Free Boundary Problems for Potential and Stokes Flows via Nonsmooth Analysis
نویسندگان
چکیده
منابع مشابه
Benson's algorithm for nonconvex multiobjective problems via nonsmooth Wolfe duality
In this paper, we propose an algorithm to obtain an approximation set of the (weakly) nondominated points of nonsmooth multiobjective optimization problems with equality and inequality constraints. We use an extension of the Wolfe duality to construct the separating hyperplane in Benson's outer algorithm for multiobjective programming problems with subdifferentiable functions. We also fo...
متن کاملFree Boundary Problems for the Navier-stokes Equations
A free boundary problem for the Navier-Stokes equations describes the flow of a viscous, incompressible fluid in a domain that is unknown or partially unknown. In this paper several results for flows in drops or in vessels are presented. The free boundary is governed by self-attraction or surface tension, and dynamic contact angles may occur. AMS-Classification: 76 D 05 , 35 R 35 § I. The Equat...
متن کاملMultiple Objective Control Problems via Nonsmooth Analysis
A control system design problem involves making trade-offs among multiple competing objectives. This paper studies two multiple objective control problems via nonsmooth analysis. First, a new minimax solution approach to the multiple objective linear-quadratic optimal control problem is presented. The solution to this problem is characterized by a set of coupled Riccati equations. Second, the s...
متن کاملThe Inviscid Limit and Boundary Layers for Navier-Stokes flows
The validity of the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes equations modeling viscous incompressible flows converge to solutions of the Euler equations modeling inviscid incompressible flows as viscosity approaches zero, is one of the most fundamental issues in mathematical fluid mechanics. The problem is classified into two categories: the case when the phys...
متن کاملStokes' Theorem for Nonsmooth Chains
Much of the vast literature on the integral during the last two centuries concerns extending the class of integrable functions. In contrast, our viewpoint is akin to that taken by Hassler Whitney [Geometric integration theory, Princeton Univ. Press, Princeton, NJ, 1957] and by geometric measure theorists because we extend the class of integrable domains. Let oi be an «-form defined on Rm . We s...
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: 1995
ISSN: 0036-1410,1095-7154
DOI: 10.1137/s003614109324652x