Over-Determined Systems of Partial DifferentialEquations, Equilibrium Behavior of Two-PhaseGranular Mixtures and Equations of Monge-Ampere Type

Varsakelis, Christos;Papalexandris, Miltiadis
(2009) SIAM Conference on Analysis of Partial Differential Equations — Location: Miami, FL (7.December.2009)

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Abstract
The equilibrium behavior of two-phase granular mixtures is described via an over-determined, quasi-linear system of partial differential equations. In the first part of the paper we perform a compatibility analysis and various existential and regularity results are also presented. In the second part of the paper we demonstrate the connection of our system to equations of Monge-Ampere type and discuss further implications.
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Varsakelis, C., & Papalexandris, M. (2009). Over-Determined Systems of Partial DifferentialEquations, Equilibrium Behavior of Two-PhaseGranular Mixtures and Equations of Monge-Ampere Type. SIAM Conference on Analysis of Partial Differential Equations, Miami, FL. https://hdl.handle.net/2078.5/193887