PolyU IR Community:
http://hdl.handle.net/10397/10
2015-11-09T16:44:45ZAnalytical solutions to the Navier–Stokes equations
http://hdl.handle.net/10397/7681
Title: Analytical solutions to the Navier–Stokes equations
Authors: Yuen, Manwai
Abstract: With the previous results for the analytical blowup solutions of the N-dimensional (N ≧2) Euler–Poisson equations, we extend the same structure to construct an analytical family of solutions for the isothermal Navier–Stokes equations and pressureless Navier–Stokes equations with density-dependent viscosity.2008-11-01T00:00:00ZEditorial: Advance in nonlinear analysis : algorithm, convergence, and applications
http://hdl.handle.net/10397/7679
Title: Editorial: Advance in nonlinear analysis : algorithm, convergence, and applications
Authors: Song, Yisheng; Chen, Rudong; Li, Guoyin; Yang, Changsen
Abstract: Editorial writing of Abstract and Applied Analysis, v. 2013.2013-01-01T00:00:00ZThe automorphism group of separable states in quantum information theory
http://hdl.handle.net/10397/7675
Title: The automorphism group of separable states in quantum information theory
Authors: Friedland, Shmuel; Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
Abstract: We show that the linear group of automorphism of Hermitian matrices which preserves the set of separable states is generated by natural automorphisms: change of an orthonormal basis in each tensor factor, partial transpose in each tensor factor, and interchanging two tensor factors of the same dimension. We apply our results to the preservers of the product numerical range.2011-04-01T00:00:00ZThe pulsrodon in 2+1-dimensional magneto-gasdynamics : Hamiltonian structure and integrability
http://hdl.handle.net/10397/7671
Title: The pulsrodon in 2+1-dimensional magneto-gasdynamics : Hamiltonian structure and integrability
Authors: Rogers, Colin; Schief, W. K.
Abstract: An elliptic vortex-type ansatz introduced into a 2+1-dimensional system governing rotating homentropic magneto-gasdynamics with a parabolic gas law is shown to lead to a finite-dimensional nonlinear dynamical system which admits exact analytical solution in terms of an elliptic function and integral representation. The dynamical system is demonstrated to be Hamiltonian and equivalent to the stationary reduction of the integrable nonlinear Schrödinger equation coupled with a Steen-Ermakov-Pinney equation. A novel magneto-gasdynamic analogue of the pulsrodon of shallow water f-plane theory is isolated thereby. Confined and time-periodic magneto-gasdynamic flows are constructed explicitly.2011-08-01T00:00:00Z