Search for dissertations about: "Burgers equation"

Showing result 1 - 5 of 9 swedish dissertations containing the words Burgers equation.

2. 1. Computer-Assisted Proofs and Other Methods for Problems Regarding Nonlinear Differential Equations

   Author : Oswald Fogelklou; Warwick Tucker; Gunilla Kreiss; Piotr Zgliczynski; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; computer-assisted proof; numerical verification; viscous Burgers’ equation; enclosure; existence; nonlinear boundary value problems; Euler equations; inverse problem; bicubic spline; interval analysis; heat equation; fluid limit; peer-to-peer networks; fixed points; stability; global stability; Mathematics; Matematik;

   Abstract : This PhD thesis treats some problems concerning nonlinear differential equations. In the first two papers computer-assisted proofs are used. The differential equations there are rewritten as fixed point problems, and the existence of solutions are proved. READ MORE

4. 2. Data Assimilation in Fluid Dynamics using Adjoint Optimization

   Author : Johan Lundvall; Vladimir Kozlov; Per Weinerfelt; Matts Karlsson; Anders Szepessy; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Data assimilation; Inverse problem; Adjoint optimization; Burgers equation; nonlinear; Landweber; Initial pressure; Euler flow; Applied mathematics; Tillämpad matematik;

   Abstract : Data assimilation arises in a vast array of different topics: traditionally in meteorological and oceanographic modelling, wind tunnel or water tunnel experiments and recently from biomedical engineering. Data assimilation is a process for combine measured or observed data with a mathematical model, to obtain estimates of the expected data. READ MORE

5. 3. Aspects of viscous shocks

   Author : Malin Siklosi; GUnilla Kreiss; Smadar Karni; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Numerical analysis; hyperbolic conservation laws; viscous shocks; modified equation; shock capturing; computer-assisted proofs; Numerisk analys; Numerical analysis; Numerisk analys;

   Abstract : This thesis consists of an introduction and five papers concerning different numerical and mathematical aspects of viscous shocks. Hyperbolic conservation laws are used to model wave motion and advect- ive transport in a variety of physical applications. READ MORE

6. 4. Differential Equations with Constraints

   Author : Olivier Verdier; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : We study various differential equations subject to constraints. In the first part we study a partial differential equation, Burgers equation, subject to time-periodicity constraint. The forcing term is time-periodic and may be highly irregular. READ MORE

7. 5. Some studies within applied mathematics with focus on conditional symmetries of partial differential equations and bending waves in plates

   Author : Reinhold Näslund; Luleå tekniska universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Abstract : This is thesis in mathematics with special focus on applied mathematics and mathematical physics. There is an introduction (in Svedish), two papers and two addendums to the first paper. The second paper is published in an international journal. READ MORE