Ultrafunctions and Generalized Solutions
نویسندگان
چکیده
منابع مشابه
Fundamental Solutions of Dynamic Poroelasticity and Generalized Termoelasticity
Fundamental solutions of dynamic poroelasticity and generalized thermoelasticity are derived in the Laplace transform domain. For poroelasticity, these solutions define the solid displacement field and the fluid pressure in fluid-saturated media due to a point force in the solid and an injection of fluid in the pores. In addition, approximate fundamental solutions for short times are derived by...
متن کاملGeneralized Vaidya Solutions
A large family of solutions, representing, in general, spherically symmetric Type II fluid, is presented, which includes most of the known solutions to the Einstein field equations, such as, the monopolede Sitter-charged Vaidya ones. PACS numbers: 04.20Jb, 04.40.+c. ∗e-mail address: [email protected] 1 In 1951, Vaidya [1] found a solution that represents an imploding (exploding) null dust f...
متن کاملGeneralized Weyl Solutions
It was shown by Weyl that the general static axisymmetric solution of the vacuum Einstein equations in four dimensions is given in terms of a single axisymmetric solution of the Laplace equation in three-dimensional flat space. Weyl’s construction is generalized here to arbitrary dimension D ≥ 4. The general solution of the D-dimensional vacuum Einstein equations that admits D− 2 orthogonal com...
متن کاملGeneralized Raiffa solutions
Article history: Received 10 November 2010 Available online 14 April 2011 JEL classification: C78
متن کاملHybrid Systems: Generalized Solutions and Robust Stability
Robust asymptotic stability for hybrid systems is considered. For this purpose, a generalized solution concept is developed. The first step is to characterize a hybrid time domain that permits an efficient description of the convergence of a sequence of solutions. Graph convergence is used. Then a generalized solution definition is given that leads to continuity with respect to initial conditio...
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: Advanced Nonlinear Studies
سال: 2013
ISSN: 2169-0375,1536-1365
DOI: 10.1515/ans-2013-0212