Search for dissertations about: "the Whitham equation"

Found 3 swedish dissertations containing the words the Whitham equation.

2. 1. Developments in the theory of the Prigogine-Herman kinetic equation of vehicular traffic

   Author : Alexandros Sopasakis; Partiella differentialekvationer; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Chapman-Enskog expansion; Traffic; Prigogine-Herman; Kinetic equation; Unstable flow;

   Abstract : The nonlinear kinetic equation of Prigogine and Herman is examined in regards to existence and uniqueness of solutions. The solution exists and is unique in the Banach space of bounded continuous functions over a particular subspace Ω. READ MORE

4. 2. Steady waves in local and nonlocal models for water waves

   Author : Tien Truong; Matematik (naturvetenskapliga fakulteten); []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; The steady Euler equations; the Whitham equation; solitary waves; highest waves; periodic waves; transverse dynamics; The steady Euler equations; the Whitham equation; solitary waves; highest waves; periodic waves; transverse dynamics;

   Abstract : We study the steady Euler equations for inviscid, incompressible, and irrotational water waves of constant density. The thesis consists of three papers. The first paper approaches the Euler equations through a famous nonlocal model equation for gravity waves, namely the Whitham equation. READ MORE

5. 3. On Steady Water Waves and Their Properties

   Author : Mats Ehrnström; Matematik (naturvetenskapliga fakulteten); []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Particle trajectories; Water waves; Vorticity; Maximum principles; Elliptic equations;

   Abstract : Abstract: This thesis consists of four papers related to various aspects of steady water waves. Paper I: Deep-water waves with vorticity: symmetry and rotational behaviour. We show that for steady, periodic, and rotational gravity deep-water waves, a monotone surface profile between troughs and crests implies symmetry. READ MORE