Adiabatic and isothermal propagations of spherical blast wave produced due to a nuclear explosion have been studied using the Energy hypothesis of Thomas, in the nonuniform atmosphere of the earth. The explosion is considered at different heights. Entropy production is also calculated along with the strength and velocity of the shock. In both the cases; for adiabatic and isothermal flows, it ha...

W hen a substance remains liquid below its melting point, it is said to be in a metastable supercooled state. In the region where the substance can be supercooled, the crystal is still the stable state, but crystallization can be avoided if the cooling occurs fast enough. The supercooled phase diagram of water has received particular attention (1). The anomalous thermodynamic properties of wate...

In this paper, we study the Cauchy problem of a cubic autocatalytic chemical reaction system u1,t = u1,xx − u1u β 2 , u2,t = du2,xx + u α 1u β 2 with non-negative initial data, where the exponents α, β satisfy 1 < α, β < 2, α+ β = 3 and the constant d > 0 is the Lewis number. Our purpose is to study the global dynamics of solutions under mild decay of initial data as |x| → ∞. We show the exact ...

Thermodynamics in the vicinity of a critical endpoint with nonclassical exponents α, β, γ, δ, · · · is analyzed in terms of density variables (mole fractions, magnetizations, etc.). The shapes of the isothermal binodals or two-phase coexistence curves are found at and near the endpoint for symmetric and nonsymmetric situations. The spectator(or noncritical)-phase binodal at T = Te is characteri...