A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS

Mathematical analysis for the peridynamic nonlocal continuum theory

(2010) Qiang Du et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Thoughts on the Concept of Stress

(2010) Walter Noll   JOURNAL OF ELASTICITY

Linearized Theory of Peridynamic States

(2010) S. A. Silling   JOURNAL OF ELASTICITY

Translation of Walter Noll’s “Derivation of the Fundamental Equations of Continuum Thermodynamics from Statistical Mechanics”

(2010) Richard B. Lehoucq et al.   JOURNAL OF ELASTICITY

A fractional calculus of variations for multiple integrals with application to vibrating string

(2010) Ricardo Almeida et al.   JOURNAL OF MATHEMATICAL PHYSICS

Statistical ranking and combinatorial Hodge theory

(2010) Xiaoye Jiang et al.   MATHEMATICAL PROGRAMMING

A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems

(2010) Max Gunzburger et al.   MULTISCALE MODELING & SIMULATION

Partial differences as tools for filtering data on graphs

(2010) Olivier Lézoray et al.   PATTERN RECOGNITION LETTERS

Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions

(2010) Kun Zhou et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Decay estimates for nonlocal problems via energy methods

(2009) Liviu I. Ignat et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Fractional vector calculus and fractional Maxwell’s equations

(2008) Vasily E. Tarasov   ANNALS OF PHYSICS

Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws

(2008) Gui-Qiang Chen et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Nonlocal Operators with Applications to Image Processing

(2008) Guy Gilboa et al.   MULTISCALE MODELING & SIMULATION