Particle acceleration in supernova remnants (SNRs) remains a cornerstone for understanding cosmic-ray (CR) origin. Multi-messenger signatures from SNRs are hereby crucial in pinning down the particularities of the acceleration process.
In this talk, we present a candid overview of the numerical methods and assumptions typically employed in modeling shock acceleration in SNRs - emphasizing where uncertainties remain and where caution is warranted – and then focus on multiwavelength (and multimessenger) signals from SNRs.
We will focus mainly on signatures that arise when CRs start to escape from their accelerators; evaluate possible transient signatures that arise from shock-shock interactions; and the search for signals of CR acceleration in the first years post-explosion.