17 citations · 80 across the 8 of their papers we have counts for
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math.AP2019★ 17 cited
On smooth self similar solutions to the compressible Euler equations
Frank Merle, Pierre Raphael, Igor Rodnianski +1
We consider the barotropic Euler equations in dimension d>1 with decaying density at spatial infinity. The phase portrait of the nonlinear ode governing the equation for sphericall…
math.AP2019★ 15 cited
On the implosion of a three dimensional compressible fluid
Frank Merle, Pierre Raphael, Igor Rodnianski +1
We consider the compressible three dimensional Navier Stokes and Euler equations. In a suitable regime of barotropic laws, we construct a set of finite energy smooth initial data f…