Statistical solutions of PDEs by nonstandard densities

DOI10.1007/BF01332349zbMath0727.35147MaRDI QIDQ803437

Nigel J. Cutland, Capiński, Marek

Publication date: 1991

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178513

zbMATH Keywords

nonstandard analysisdensitieshyperfinite approach to weak solutionsStatistical solutions

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Nonstandard models in mathematics (03H05) Nonstandard measure theory (28E05)

Related Items

Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations, A simple example of intrinsic turbulence, Spaces of measurable functions on the Levi-Civita field

Cites Work

• A simple example of intrinsic turbulence
• Statistical study of Navier-Stokes equations. I
• Infinitesimals in Action
• Applications of nonstandard analysis to partial differential equations—I. the diffusion equation
• Star-Finite Representations of Measure Spaces
• Unnamed Item