Titlebook: Nonlinear Evolution Equations That Change Type; Barbara Lee Keyfitz,Michael Shearer Conference proceedings 1990 Springer-Verlag New York I

细微差别

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夹死提手势

An Existence and Uniqueness Result for Two Nonstrictly Hyperbolic Systems,Floch — Murat [1]) and find entropy weak solutions . and . which have bounded variation while the solutions . are .. The equations for . and . can be viewed as linear hyperbolic equations with discontinuous coefficients.

拾落穗

Admissibility of Solutions to the Riemann Problem for Systems of Mixed Type,alized entropy inequalities. This includes the case of mixed-type shocks (elliptic-hyperbolic). The admissibility condition of transonic small disturbance theory is shown to arise from an additional conservation law different from the one used in the case of the classical .-system in isentropic gas dynamics.

LATHE

Numerical Simulation of Inertial Viscoelastic Flow with Change of Type, of the flow of a Maxwell fluid around a circular cylinder for various flow regimes. We compare creeping flows, Newtonian flows and supercritical viscoelastic flows. We show that the flow kinematics is affected by supercritical flow conditions. In particular, a vorticity shock forms ahead of the cylindrical body.

scrutiny

,Some Qualitative Properties of 2 × 2 Systems of Conservation Laws of Mixed Type,gion. If both .. and .. are in the hyperbolic region, then the solution will not enter the elliptic region. We show with an explicit example that the latter property is not true for general Cauchy data. This example is investigated numerically.

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One-Dimensional Thermomechanical Phase Transitions with Non-Convex Potentials of Ginzburg-Landau Tyerical approximation and the optimal control of the solutions, are presented in the paper, in particular in connection with the austenitic-martensitic phase transitions in the so-called “shape memory alloys”.

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