The elastoplastic shock problem as an example of the resolution of ambiguities in the multiplication of distributions
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Publication:3495756
DOI10.1063/1.528554zbMath0711.73050OpenAlexW1977731188MaRDI QIDQ3495756
Publication date: 1989
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528554
Operations with distributions and generalized functions (46F10) Plastic materials, materials of stress-rate and internal-variable type (74C99) Impact in solid mechanics (74M20)
Related Items (14)
Multiplication of Distributions in Mathematical Physics ⋮ Generalized and classical solutions of nonlinear parabolic equations ⋮ Case study of a nonlinear, nonconservative, nonstrictly hyperbolic system ⋮ Screw and edge dislocations with time-dependent core width: from dynamical core equations to an equation of motion ⋮ Generalized solutions of nonlinear parabolic equations with distributions as initial conditions ⋮ Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: The multidimensional case ⋮ Nonlinear generalized functions and jump conditions for a standard one pressure liquid-gas model ⋮ Nonlinear generalized functions on manifolds ⋮ Multiplication of distributions ⋮ Generalized solutions to partial differential equations of evolution type ⋮ The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory ⋮ Burgers equation with a passive scalar: Dissipation anomaly and Colombeau calculus ⋮ Nonstandard analysis and jump conditions for converging shock waves ⋮ The classical point electron in Colombeau’s theory of nonlinear generalized functions
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