Oscillatory behaviour of linear mixed-type systems

Author(s):  
Ana M. Pedro
2015 ◽  
Vol 265 ◽  
pp. 133-143 ◽  
Author(s):  
Emad A. Az-Zo'bi ◽  
Kamal Al Dawoud ◽  
Mohammad Marashdeh

2008 ◽  
Vol 05 (02) ◽  
pp. 295-315 ◽  
Author(s):  
ALEXEI A. MAILYBAEV ◽  
DAN MARCHESIN

Small amplitude shocks involving a state with complex characteristic speeds arise in mixed-type systems of two or more conservation laws. We study such shocks in detail in the generic case, when they appear near the codimension-1 elliptic boundary. Then we classify all exceptional codimension-2 states on smooth parts of the elliptic boundary. Asymptotic formulae describing shock curves near regular and exceptional states are derived. The type of singularity at the exceptional point depends on the second and third derivatives of the flux function. The main application is understanding the structure of small amplitude Riemann solutions where one of the initial states lies in the elliptic region.


Author(s):  
T Chen ◽  
R F Boucher

Physical dynamical systems may be modelled by connecting wave-transmitting elements using junctions that depict the relations of energy transmission. Elements transmit wave energy from one end to the other end and junctions reallocate energy to those attached elements. The scattering coefficients of junctions may be derived by satisfying the continuity constitutive relations and energy conservations. The scattering coefficients expressed in general forms of 13 different junctions demonstrated in this paper permit systems with multiple energy domains to be modelled and are applicable to modelling distributed, lumped and mixed type systems. Careful selection of the correct types of junctions and construction of the system topology are keys to successfully modelling physical systems.


2019 ◽  
Vol 25 (1) ◽  
Author(s):  
ASHOK KUMAR ◽  
ALPANA PARMAR ◽  
ANAND KUMAR BAJPEYEE

Young female Black rat (Rattus rattus), were administered monthly long acting steroid contraceptive to induce hypertriglyceridemia. It was observed that by 3 weeks of the second injection of estrogen containing mixed type of contraceptive, female rats developed consistent and frank hyperglyceridemia . TG in the treated rats was 195.8 ± 7.44 mg /100 ml as compared to 91.5 ± 6.27 mg/100ml in plasma of the control group.


Sign in / Sign up

Export Citation Format

Share Document