Modeling, dynamical analysis and numerical simulation of a new 3D cubic Lorenz-like system [PDF]
Scientific Reports, 2023 Little seems to be considered about the globally exponentially asymptotical stability of parabolic type equilibria and the existence of heteroclinic orbits in the Lorenz-like system with high-order nonlinear terms.
Haijun Wang +3 more
doaj +2 more sources
High-quality CMOS compatible n-type SiGe parabolic quantum wells for intersubband photonics at 2.5–5 THz [PDF]
NanophotonicsA parabolic potential that confines charge carriers along the growth direction of quantum wells semiconductor systems is characterized by a single resonance frequency, associated to intersubband transitions.
Campagna Elena +11 more
doaj +2 more sources
WENO schemes for multidimensional nonlinear degenerate parabolic PDEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper, a scheme is presented for approximating solutions of non linear degenerate parabolic equations which may contain discontinuous solutions.
R. Abedian
doaj +1 more source
Modelling adhesion-independent cell migration [PDF]
, 2020 A two-dimensional mathematical model for cells migrating without adhesion capabilities is presented and analyzed. Cells are represented by their cortex, which is modelled as an elastic curve, subject to an internal pressure force.
Jankowiak, Gaspard +4 more
core +5 more sources
Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant [PDF]
, 2010 We prove global existence of a nonnegative weak solution to a degenerate parabolic system, which models the spreading of insoluble surfactant on a thin liquid ...
Escher, Joachim +3 more
core +5 more sources
Second order mean field games with degenerate diffusion and local coupling [PDF]
, 2014 We analyze a (possibly degenerate) second order mean field games system of partial differential equations. The distinguishing features of the model considered are (1) that it is not uniformly parabolic, including the first order case as a possibility ...
Cardaliaguet, Pierre +3 more
core +5 more sources
Steering between Bloch oscillation and dipole oscillation in parabolic optical waveguide arrays [PDF]
, 2010 We study the optical oscillations of supermodes in planar optical waveguide arrays with parabolically graded propagation constant in individual waveguide interacting through nearest neighbor couplings.
Chan, Yun San +2 more
core +2 more sources
Blowup for degenerate and singular parabolic system with nonlocal source
Boundary Value Problems, 2006 We deal with the blowup properties of the solution to the degenerate and singular parabolic system with nonlocal source and homogeneous Dirichlet boundary conditions.
Zhou Jun, Mu Chunlai, Li Zhongping
doaj +2 more sources
Advances in Nonlinear Analysis, 2022 This article focuses on the singularity formation of smooth solutions for a one-dimensional nonlinear degenerate hyperbolic-parabolic coupled system originating from the Poiseuille flow of nematic liquid crystals.
Hu Yanbo
doaj +1 more source
Homogenization of degenerate cross-diffusion systems [PDF]
, 2018 Two-scale homogenization limits of parabolic cross-diffusion systems in a heterogeneous medium with no-flux boundary conditions are proved. The heterogeneity of the medium is reflected in the diffusion coefficients or by the perforated domain.
Juengel, Ansgar, Ptashnyk, Mariya
core +2 more sources