Of course, yes. You can find the information in classical books on theoretical physics, e.g., Landau L.D., Lifshits. Methods of Theoretical Physics. Field Theory.
There are the classes of often very symmetric problems that can be solved by use of conservation laws and bounds induced on other solutions. Numerically, such laws can help reduce certain kinds of errors. I have found a large class of new nonlocal invariants recently to appear of JMP soon. I hope they will be so beneficial.