SIMILARITY SOLUTIONS FOR STRONG SHOCKS IN A NON-IDEAL GAS

Non-ideal memristors for a non-ideal world

Memristors have pinched hysteresis loops in the V − I plane. Ideal memristors are everywhere non-linear, cross at zero and are rotationally symmetric. In this paper we extend memristor theory to produce different types of non-ideality and find that: including a background current (such as an ionic current) moves the crossing point away from zero; including a degradation resistance (that increas...

A Unified Theory of Non-ideal Gas Lattice Boltzmann Models

A non-ideal gas lattice Boltzmann model is directly derived, in an a priori fashion, from the Enskog equation for dense gases. The model is rigorously obtained by a systematic procedure to discretize the Enskog equation (in the presence of an external force) in both phase space and time. The lattice Boltzmann model derived here is thermodynamically consistent and is free of the defects which ex...

Kinematics of the gas in a barred galaxy: do strong shocks inhibit star formation?

We present new CO(1–0) maps of the barred spiral galaxy NGC 1530 with a resolution of 5′′.3, obtained by adding short spacing visibilities from the IRAM 30m telescope to data from the IRAM interferometer. The improvement in sensitivity is spectacular, allowing us to detect with high signalto-noise the extended CO lanes along the bar of the galaxy. These molecular gas lanes, which are density wa...

Converging cylindrical shocks in ideal magnetohydrodynamics

A strong convergence theorem for solutions of zero point problems and fixed point problems

Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated‎. ‎A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces‎.