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CRITICAL THRESHOLDS IN A CONVOLUTION MODEL FOR NONLINEAR CONSERVATION LAWS
(Copyright: Society for Industrial and Applied Mathematics, 2001)
In this work we consider a convolution model for nonlinear conservation laws.Due to the delicate balance between the nonlinear convection and the nonlocal forcing, this model allows for narrower shock layers than those ...
CRITICAL THRESHOLDS IN 2D RESTRICTED EULER–POISSON EQUATIONS
(Copyright: Society for Industrial and Applied Mathematics, 2003)
We provide a complete description of the critical threshold phenomenon for the twodimensional localized Euler–Poisson equations, introduced by the authors in [Comm. Math. Phys., 228 (2002), pp. 435–466]. Here, the questions ...