57 citations · 89 across the 7 of their papers we have counts for
8 papers
The Shock Development Problem
Demetrios Christodoulou
The subject of this work is the shock development problem in fluid mechanics. A shock originates from an acoustically spacelike surface in spacetime at which the 1st derivatives of…
On the formation of shocks of electromagnetic plane waves in non-linear crystals
Demetrios Christodoulou, Daniel Raoul Perez
An influential result of F. John states that no genuinely non-linear strictly hyperbolic quasi-linear first order system of partial differential equations in two variables has a gl…
Shock Development in Spherical Symmetry
Demetrios Christodoulou, André Lisibach
The general problem of shock formation in three space dimensions was solved by D. Christodoulou in his 2007 monograph: 'The Formation of Shocks in 3-dimensional Fluids'. In this wo…
Self-Gravitating Relativistic Fluids: The Formation of a Free Phase Boundary in the Phase Transition from Hard to Soft
Demetrios Christodoulou, André Lisibach
In the 1990's Christodoulou introduced an idealized fluid model intended to capture some of the features of the gravitational collapse of a massive star to form a neutron star or a…
On the Mechanics of Crystalline Solids with a Continuous Distribution of Dislocations
Demetrios Christodoulou, Ivo Kaelin
We formulate the laws governing the dynamics of a crystalline solid in which a continuous distribution of dislocations is present. Our formulation is based on new differential geom…
Compressible Flow and Euler's Equations
Demetrios Christodoulou, Shuang Miao
We consider the classical compressible Euler's Equations in three space dimensions with an arbitrary equation of state, and whose initial data corresponds to a constant state outsi…