Abstract
We study the existence and uniqueness of a weak solution of a viscous d-dimensional system of pressureless gas equations. We construct a nonlinear diffusion by using the propagation and conditional propagation of chaos. The latter diffusion is associated with the above pressureless gas equations.
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Mathematics Subject Classification (2000):60H15, 35R60, 60H30
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Dermoune, A. Propagation and conditional propagation of chaos for pressureless gas equations. Probab. Theory Relat. Fields 126, 459–476 (2003). https://doi.org/10.1007/s00440-003-0274-2
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DOI: https://doi.org/10.1007/s00440-003-0274-2
Keywords
- Weak Solution
- Nonlinear Diffusion
- Conditional Propagation