Analysis of Subwavelength Resonances in High Contrast Elastic Media
    
         
         
         
          
            
数学专题报告
          
            
              
                
                  
                   
 报告题目(Title):Analysis of Subwavelength Resonances in High Contrast Elastic Media
报告人(Speaker): Professor Yixian Gao  (Northeast Normal University )
  地点(Place): 后主楼 1225 
时间(Time): 2025年 1 月 14 日(周二)15:30-16:30
 邀请人(Inviter):李海刚
                    
                 
                
               
             
          
         
          
             
报告摘要
          
           
            
              In this talk, we are devoted to the mathematical study of the wave scattering by a hard elastic obstacle embedded in a soft elastic body in three-dimensional space.We  characterize subwavelength resonances by the fact that the determinant of a matrix vanishes,  and present the asymptotic expansions of the subwavelength resonant frequencies in the low-frequency region . We give the representation of the scattered field in the interior domain, and establish the transversal and longitudinal far-field patterns for the scattered field the exterior domain.