TITLE

Smoluchowski-Kramers approximation in the case of variable friction

AUTHOR(S)
Freidlin, M.; Hu, W.
PUB. DATE
November 2011
SOURCE
Journal of Mathematical Sciences;Nov2011, Vol. 179 Issue 1, p184
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We consider the small mass asymptotics (Smoluchowski-Kramers approximation) for the Langevin equation with a variable friction coefficient. The limit of the solution in the classical sense does not exist in this case. We study a modification of the Smoluchowski-Kramers approximation. Some applications of the Smoluchowski-Kramers approximation to problems with fast oscillating or discontinuous coefficients are considered. Bibliography: 15 titles.
ACCESSION #
66885655

 

Related Articles

  • Verification of Functional A Posteriori Error Estimates for an Obstacle Problem. Harasim, P.; Valdman, J. // AIP Conference Proceedings;2015, Vol. 1648 Issue 1, p1 

    We verify functional a posteriori error estimate proposed by S. Repin for an obstacle problem. A new benchmark with known analytical solution in 2D is constructed. Numerical approximation is obtained by the finite element method using bilinear elements on a rectangular mesh. Error of the...

  • Probabilistic Reasoning with Continuous Constraints. Carvalho, E.; Cruz, J.; Barahona, P. // AIP Conference Proceedings;9/6/2007, Vol. 936 Issue 1, p105 

    Continuous constraint reasoning assumes the uncertainty of numerical variables within given bounds and propagates such knowledge through a network of constraints, reducing the uncertainty. In some problems there is also information about the plausibility distribution of values within such...

  • Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent. Alkhutov, Yu.; Zhikov, V. // Journal of Mathematical Sciences;Dec2011, Vol. 179 Issue 3, p347 

    In this paper, we prove the Hölder continuity of solutions of parabolic equations containing the p( x, t)-Laplacian. The degree p must satisfy the so-called logarithmic condition.

  • Direct Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations. Ibrahim, Zarina Bibi; Suleiman, Mohamed; Othman, Khairil Iskandar // Proceedings of World Academy of Science: Engineering & Technolog;Jun2008, Vol. 42, p57 

    In this paper, a direct method based on variable step size Block Backward Differentiation Formula which is referred as BBDF2 for solving second order Ordinary Differential Equations (ODEs) is developed. The advantages of the BBDF2 method over the corresponding sequential variable step variable...

  • Bilevel optimization: on the structure of the feasible set. Jongen, H.; Shikhman, V. // Mathematical Programming;Nov2012, Vol. 136 Issue 1, p65 

    We consider bilevel optimization from the optimistic point of view. Let the pair ( x, y) denote the variables. The main difficulty in studying such problems lies in the fact that the lower level contains a global constraint. In fact, a point ( x, y) is feasible if y solves a parametric...

  • HYBRID METHODS FOR SOLVING VOLTERRA INTEGRAL EQUATIONS. MEHDIYEVA, GALINA; IMANOVA, MEHRIBAN; IBRAHIMOV, VAGIF // Journal of Concrete & Applicable Mathematics;Jan2013, Vol. 11 Issue 1, p246 

    It is known that there exists a class of methods for solving integral equations with variable boundary. One of them is the most popular methods of quadratures. This method is clarified and modified by many scientists. Here, to numerically solving Volterra integral equations the hybrid method is...

  • Int-soft implicative filters in BE-algebras. Young Bae Jun; Alshehri, N. O.; Sun Shin Ahn // Journal of Computational Analysis & Applications;Mar2015, Vol. 18 Issue 3, p559 

    The notion of int-soft implicative filters of a BE-algebra is introduced, and related properties are investigated. The problem of classifying int-soft implicative by their γ-inclusive filter is solved. Also, as a generalization of int-soft implicative filters, the foldness of int-soft...

  • Int-soft implicative filters in BE-algebras. Young Bae Jun; Alshehri, N. O.; Sun Shin Ahn // Journal of Computational Analysis & Applications;Jan2015, Vol. 18 Issue 1, p559 

    The notion of int-soft implicative filters of a BE-algebra is introduced, and related properties are investigated. The problem of classifying int-soft implicative by their 7-inclusive filter is solved. Also, as a generalization of int-soft implicative filters, the foldness of int-soft...

  • Preface of the "Symposium on Numerical Methods for Linear Algebra and Approximations". Hosoda, Yohsuke; Abe, Kuniyoshi // AIP Conference Proceedings;2015, Vol. 1648 Issue 1, p1 

    No abstract available.

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics