|   | 
				
					
	
		  | 
	 
	
		| Paper: | 
		Common Envelope: The Progress and the Pitfalls | 
	 
	
		| Volume: | 
		447, Evolution of Compact Binaries | 
	 
	
		| Page: | 
		91 | 
	 
	
		| Authors: | 
		Ivanova, N. | 
	 
	
	
		| Abstract: | 
		The common envelope event is one of the most important and uncertain evolutionary stages
 that lead to formation of compact binaries.
 While the problem is almost 30 years old, its theoretical foundation did not progress much 
 from the first proposed consideration.
 For many years, the simple estimate  provided by αλ-formalism has been  
 intensively used by population synthesis studies and, not surprisingly, frequently 
 contradicted observations.
 In recent years, the advancements in our studies of stellar structure, progress of the numerical techniques 
 for hydrodynamical simulations as well as increase of the computer power and new observations started 
 to bring improvements to our understanding of the common envelope phase.
 We review main physical processes taking place during the common envelope phase
 from the theoretical point of view and how they affect the values of classical formal parameters.
 In particular, we discuss the energy budget problem 
 – what are the energy sources, sinks
 and  what is the condition for the envelope to disperse,
 as well as the importance of choosing the definition of the remnant core to the common envelope outcome. | 
	 
	
		| 
			
			
		 | 
	 
	
		  | 
	 
 
					 
				 | 
				  |