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dc.contributor.authorCherepanov, Pavlo
dc.date.accessioned2009-08-27T21:03:36Z
dc.date.available2009-08-27T21:03:36Z
dc.date.issued2009-08-27T21:03:36Z
dc.date.submittedJuly 2009
dc.identifier.urihttp://hdl.handle.net/1928/9810
dc.description.abstractContinuum mechanics and kinetic theory are two mathematical theories with fundamentally different approaches to the same physical phenomenon. Continuum mechanics together with thermodynamics treat a substance (a gas or a fluid) as a continuous medium and describes the evolution of its macro characteristics via application of the conservation laws to small packets of the substance. Kinetic theory attempts to describe the evolution of the macro parameters by treating a substance as a family of colliding objects. The number of objects must be large enough so a statistical approach can be taken. In this work we introduce a numerical scheme to solve 1-D Bhatnagar-Gross-Krook model equations and examine the formation of a stationary viscous shock. Obtained results are compared to a stationary numerical solution of 1-D Navier-Stokes equation with a similar set of shock forming conditions.en_US
dc.language.isoen_USen_US
dc.subjectKinetic Theoryen_US
dc.subjectFluid Dynamicsen_US
dc.subject.lcshShock waves--Mathematical models.
dc.subject.lcshViscous flow--Mathematical models.
dc.subject.lcshGas dynamics--Mathematical models.
dc.subject.lcshNavier-Stokes equations--Numerical solutions.
dc.titleShock formation properties of continuum and kinetic modelsen_US
dc.typeDissertationen_US
dc.description.degreeMathematicsen_US
dc.description.levelDoctoralen_US
dc.description.departmentUniversity of New Mexico. Dept. of Mathematics and Statisticsen_US
dc.description.advisorLorenz, Jens
dc.description.committee-memberEmbid, Pedro
dc.description.committee-memberHayat, Majeed
dc.description.committee-memberPereyra, Cristina


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