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In the quest to solve the long-standing coronal heating problem, it has beensuggested half a century ago that coronal loops could be heated by waves.Despite the accumulating observational evidence of the possible importance ofcoronal waves, still no 3D MHD simulations exist that show significant heatingby MHD waves. Here we report on the first 3D coronal loop model heating theplasma against radiative cooling. The coronal loop is driven at the footpointby transverse oscillations and subsequently the induced Kelvin-Helmholtzinstability deforms the loop cross-section and generates small-scalestructures. Wave energy is transfered to smaller scales where it is dissipated,overcoming the internal energy losses by radiation. These results open up a newavenue to address the coronal heating problem.

The First 3D Coronal Loop Model Heated by MHD Waves against Radiative Losses