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#solitons
2 resultsnlin.PS2019
Generation of shock waves from localized sources: The case of the Burgers equation
Yair Zarmi
The paper demonstrates that shock wave solutions of the Burgers equation can be generated by localized source terms, and introduces an evolution equation for those sources that pos…
#shock waves#burgers equation#solitons#localized sources
math.AP2019
The focusing energy-critical nonlinear wave equation with random initial data
Carlos Kenig, Dana Mendelson
The paper proves that for the focusing energy‑critical quintic nonlinear wave equation in three dimensions, randomly perturbed radial initial data above a certain regularity lead,…
#nonlinear wave equations#energy-critical#solitons#random data