Browsing Scholarly Works, Department of Mathematics by Title
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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 ...