نتایج جستجو برای: solution method

تعداد نتایج: 1979448  

Journal: :SIAM J. Math. Analysis 2003
Diogo A. Gomes

In this paper we study the stability of integrable Hamiltonian systems under small perturbations, proving a weak form of the KAM/Nekhoroshev theory for viscosity solutions of Hamilton-Jacobi equations. The main advantage of our approach is that only a finite number of terms in an asymptotic expansion are needed in order to obtain uniform control. Therefore there are no convergence issues involv...

2012
Lawrence C. Evans Arik A. Melikyan

This paper introduces a new representation formula for viscosity solutions of nonconvex Hamilton–Jacobi PDE using “generalized envelopes” of affine solutions. We study as well envelope and singular characteristic constructions of equivocal surfaces and discuss also differential game theoretic interpretations. In memory of Arik A. Melikyan.

Journal: :Applied Mathematics and Computation 2004
Sixto J. Alvarez Rachid Oujja

A combination of a semidiscretized scheme and an iterative method is applied to a free boundary problem. The considered problem is issued from a cavitation model in lubrication theory and treats on the determination of the cavitation area. Estimates L∞(Ω) which provide the convergence of the approximated solution is obtained. Finally, some numerical test examples are presented to illustrate the...

2009
Lihui Ma Guozhong Cao Yunxia Chang Zihui Wei Kai Ma

The translation process from TRIZ solutions to domain solutions is an analogy-based process. TRIZ solutions, such as 40 inventive principles and the related cases, are medium-solutions for domain problems. Unexpected discoveries (UXDs) are the key factors to trigger designers to generate new ideas for domain solutions. The Algorithm of UXD resolving based on MeansEnds Analysis(MEA) is studied a...

2009
Lawrence C. Evans

We investigate the vanishing viscosity limit for Hamilton-Jacobi PDE with nonconvex Hamiltonians, and present a new method to augment the standard viscosity solution approach. The main idea is to introduce a solution σε of the adjoint of the formal linearization, and then to integrate by parts with respect to the density σε. This procedure leads to a natural phase space kinetic formulation and ...

2011
Moncef Mahjoub

Our purpose in this work is to give an original and very simple approach for computing the skeleton of a closed shape. This approach is based on the relationship between Stochastic differential equations and viscosity solutions of certain PDE. We illustrate the effectiveness of viscosity solution methods for Hamilton-Jacobi PDE by designing a new approach for calculating the skeleton of 2D and ...

Journal: :Applied Mathematical Modelling 1989

Journal: :Journal of Japan Institute of Light Metals 1957

Journal: :IEEE Transactions on Power Apparatus and Systems 1967

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