A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
DOI10.1142/S0218202512500546zbMath1266.26020OpenAlexW1973127220MaRDI QIDQ4909171
Kun Zhou, Qiang Du, Richard B. Lehoucq, Max D. Gunzburger
Publication date: 12 March 2013
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202512500546
balance lawsnonlocal diffusionnonlocal operatorsperidynamicsvector calculusvolume-constrained problems
Integration of real functions of several variables: length, area, volume (26B15) Calculus of vector functions (26B12) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)
Related Items (only showing first 100 items - show all)
Cites Work
- Statistical ranking and combinatorial Hodge theory
- Espaces de fonctions différentiables à valeurs vectorielles
- Decay estimates for nonlocal problems via energy methods
- A new mathematical foundation for contact interactions in continuum physics
- Fractional vector calculus and fractional Maxwell's equations
- Linearized theory of peridynamic states
- Random walks on graphs with regular volume growth
- Reformulation of elasticity theory for discontinuities and long-range forces
- Peridynamic states and constitutive modeling
- On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity
- Mathematical analysis for the peridynamic nonlocal continuum theory
- Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions
- A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
- Nonlocal Operators with Applications to Image Processing
- A fractional calculus of variations for multiple integrals with application to vibrating string
- Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws
- Translation of Walter Noll's ``Derivation of the fundamental equations of continuum thermodynamics from statistical mechanics
- Thoughts on the concept of stress
This page was built for publication: A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS