The Influence of Physical Mechanisms on Global Solutions of Nonlinear Evolution Equations with Dissipations
Linghai Zhang, Lehigh University
Abstract: We study the influence of physical mechanisms (represented by dispersion coefficients, diffusion coefficients, incompressible conditions, spatial dimension, integrals of the initial functions, the integrals of the external forces, etc) on the global solutions of nonlinear evolution equations with dissipations.
Typical model equations include:
(1) the n-dimensional incompressible magnetohydrodynamics equations,
(2) the n-dimensional incompressible Navier-Stokes equations,
(3) the two-dimensional incompressible dissipative quasi-geostrophic equation,
(4) the Korteweg-de Vries-Burgers equation,
(5) the Benjamin-Bona-Mahony-Burgers equations.
In this talk, I will talk about my recent results on the Korteweg-de Vries-Burgers equation.
Tea and refreshments available at 3:00 p.m. in the Assmus Conference Room (CU 212).
