Browsing Scholarly Works, Department of Mathematics by Title
Now showing items 219230 of 230

Understanding the complex patterns observed during hepatitis B Virus therapy
(MDPI, 20170519)Data from human clinical trials have shown that the hepatitis B virus (HBV) follows complex profiles, such as biphasic, triphasic, stepwise decay and rebound. We utilized a deterministic model of HBV kinetics following ... 
Uniqueness of solutions to the linearized Boltzmann equation
(AIP Publishing, 197801)Uniqueness theorems are proved for the linearized Boltzmann equation for both the ’’exterior’’ and ’’interior’’ problems under generalized Maxwellboundary conditions. The solution space is a weighted L p space, and agrees ... 
Using startup of steady shear flow in a sliding plate rheometer to determine material parameters for the purpose of predicting long fiber orientation
(AIP Publishing, 20120701)The properties of long glass fiber reinforced parts, such as those manufactured by means of injection molding and compression molding, are highly dependent on the fiber orientation generated during processing. A sliding ... 
Using transient shear rheology to determine material parameters in fiber suspension theory
(AIP Publishing, 20090501)Fiber suspension theory model parameters for use in the simulation of fiber orientation in complex flows are, in general, either calculated from theory or fit to experimentally determined fiber orientation generated in ... 
Viscosity and density stratification in vertical Poiseuille flow
(AIP Publishing, 198706)The linear stability of plane three_layer vertical Poiseuille flow is considered. The layers are composed of two immiscible fluids, one next to the walls and one centrally located. The fluids have different viscosities and ... 
Vlasov theory of plasma oscillations: linearapproximation
(AIP Publishing, 1977)A functional analytic approach to the linearized collisionless Vlasov equation is presented utilizing a resolvent integration technique on the resolvent of the transport operator evaluated at a particular point. Formulae ... 
Wall energy relaxation in the CahnHilliard model for moving contact lines
(AIP Publishing, 201101)The CahnHilliard model uses diffusion between fluid components to regularize the stress singularity at a moving contact line. In addition, it represents the dynamics of the nearwall layer by the relaxation of a wall ... 
Wave operators for the matrix ZakharovShabat system
(AIP Publishing, 201005)In this article, we prove the similarity (and, in the focusing case, the Junitary equivalence) of the free Hamiltonian and the restriction of the full Hamiltonian to the maximal invariant subspace on which its spectrum ... 
Wave scattering in one dimension with absorption
(AIP Publishing, 199804)Wave scattering is analyzed in a onedimensional nonconservative medium governed by the generalized Schrodinger equation d(2) psi/dx(2)+k(2) psi=[ikP(x)+Q(x)]psi, where P(x) and Q(x) are real, integrable potentials with ... 
Why do soliton equations come in hierarchies?
(AIP Publishing, 199309)In this article, an identity satisfied by the socalled recursion operator is derived. The identity generates by itself an infinite sequence of Lax pairs, thus ensuring the complete integrability of the corresponding ... 
Wolfgang von Ohnesorge
(American Institute of Physics, 201112)This manuscript got started when one of us (G.H.M.) presented a lecture at the Institute of Mathematics and its Applications at the University of Minnesota. The presentation included a photograph of Rayleigh and made ... 
ℋ₂QuasiOptimal Model Order Reduction for QuadraticBilinear Control Systems
We investigate the optimal model reduction problem for largescale quadraticbilinear (QB) control systems. Our contributions are threefold. First, we discuss the variational analysis and the Volterra series formulation ...