Dong Ming-de. The Spectral Problem of Poiseuille Flow[J]. Applied Mathematics and Mechanics, 1985, 6(3): 213-218.
	
		
			Citation: 
													Dong Ming-de. The Spectral Problem of Poiseuille Flow[J]. Applied Mathematics and Mechanics, 1985, 6(3): 213-218. 								 
				
			 
	
 
	
		Dong Ming-de. The Spectral Problem of Poiseuille Flow[J]. Applied Mathematics and Mechanics, 1985, 6(3): 213-218.
	
		
			Citation: 
													Dong Ming-de. The Spectral Problem of Poiseuille Flow[J]. Applied Mathematics and Mechanics, 1985, 6(3): 213-218. 								 
				 
	
  
			
				
					
						
The Spectral Problem of Poiseuille Flow 
					
					
						 
					
					
					
                        
		    		
						
							
							
							Received Date:  1983-08-04Publish Date: 
											1985-03-15 
	                  
                 
             
            
            	
                
                 
				
                    Abstract 
                        
                            For Poiseuille flow the Orr-Sommerfeld equation is solved exactly. Regular solutions are obtained, thereby eigenvalue equation can be analyzed analytically and explicitly. The bifurcation solutions will be discussed subsequently.
                     
                
                 
                
               	
	                
	                     
                
                
				
	                    References 
	                    
	
		
				[1] 
				
					Heisenberg,W.,über Stabilität und Turbulenz von Flüssig-keitsströmen,Annalen der Physik,74(1924),577.
					
					 
			 
		
				[2] 
				
					Lin,C.C.,The Theory of Hydrodynamic Stability,Cambridge University Press(1955).
					
					 
			 
		
				[3] 
				
					Joseph,D.D.,Stability of Fluid Motion Ⅰ-Ⅱ,Springer-Verlag(1976)
					
					 
			 
		
				[4] 
				
					Dong Ming-de,Poincare's Problem of Irregular Integrals,(Lacture Notes)(1981).
					
					 
			 
		
  
                
                
                     
                
				
				
				
						 
				
                
            Proportional views