Global 5000 jet Captain reported smoke in the cockpit during climb. The flight returned to the departure airport and landed safely.

Narrative

Taxiing aircraft to RWY XXL on taxiway 1. While holding short of the RWY; DU1 (Display Unit); captain side PFD (Primary Flight Display); went blank. Attempt to dim then brighten screen done with no immediate result. A few seconds later the screen came back on. No CAS (Crew Alerting System). Discussed with first officer if it felt safe to continue and both agreed. Shortly after was cleared for takeoff RWY XXL. No issues on initial climbout. Takeoff time XA23. Passing through 10;000ft; first officer (FO) called one of the cabin hostesses to request food/drink. At this point we had been cleared direct to point ZZZZZ on the ZZZZZ departure. After speaking to the First Officer; the cabin hostess offered food/drink to myself. At this point I noticed a light but definite smell of acrid fumes. The FO and Hostess said they could not smell anything. I asked again as the smell became stronger. The hostess leaned into my space - at this point light blue smoke was witnessed by myself and the Hostess for approximately 3-5 seconds; coming from frame between left side windshield and left side window. This happened at 17;300 ft at XA30. The amount was similar to smoke off the wick of a candle that had been blown out. I turned immediately to the FO and said request us back to the field (ZZZ). The Hostess moved out of the forward area to allow us to operate and advise the second Hostess of what was happening. I then asked the FO to [request priority handling]. From memory he spoke to ATC again without [requesting priority handling]. I took over the radio and [advised ATC] - smoke in cockpit. ATC received the msg and instructed to descend on headings as required to get to RWY XXL. I set squawk XXXX and instructed FO to put on oxygen mask immediately as I was putting on mine. I established comms with him but noticed he was having issues putting his on. He fiddled a bit longer to try put it on and I cannot remember if he even put it on. At one point I remember looking over at him because he said he was going deaf as I turned the speaker up to listen to ATC with oxygen mask on. He looked like he was still struggling to put the mask on. I asked him to load the FMS for guidance and input ILS XXL to use as reference. I flew the aircraft and commenced descent with spoilers out. 4000ft set initially and confirmed. I then asked the FO to run 'visible smoke checklist' from the QRC. Checklist done by FO and I continued to fly the aircraft toward RWY XXL. By this point I had realized the smoke was no longer evident. Asked the FO to continue talking to ATC to keep transparent. He advised of our situation and to keep services available on landing.'Before landing checklist' completed and normal landing made on RWY XXL; time XA41. ATC advised we could stop on RWY and have the fire trucks come to us. I said it was safe to taxi off the rwy. Once on the taxiway it was discussed and both FO and I agreed it was safe to continue taxi to the FBO ramp. Fire trucks followed us in and advised they saw smoke coming from the right engine. FO advised this is normal for this type of aircraft. I asked FO to give more information to keep things transparent. I then got on the comms and advised we have normal engine parameters and concern remained at front of the aircraft in the cockpit. No smoke at this time. Stopped at FBO time XA45.From our current situation I felt it was safe to start the APU as an evacuation was not required. Got out of my seat and asked the girls if they were ok. They replied they were fine. Went back to cockpit and asked the FO to run 'emergency evacuation checklist' after realizing the cabin altitude was still high from smoke checklist. Emergency checklist run to applicable items only as there was no need to turn off APU; fire handles not required to be pulled as there was no suspected engine/APU fire; battery master left on. the rest of the checklist completed except for the 3 items listed above.Cabin door opened and liaised with airport firefighters regarding the situation. They came in and did their part and agreed threat of fire was no longer present. Spoke to ATC and advised all is ok. Returned to normal squawk code. CVR CB (Circuit Breaker) pulled as per maintenance request to download current CVR data.Discussed with maintenance control - suspected issue with avionics causing smoke.Cause: Issue with avionics on left side.Suggestions: Not applicable. Until cause is known; no advice given.