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1945-0796, 1539-6746
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scholarly journals Consistency analysis of bilevel data-driven learning in inverse problems

2022 ◽  
Vol 20 (1) ◽  
pp. 123-164
Author(s):  
Neil K. Chada ◽  
Claudia Schillings ◽  
Xin T. Tong ◽  
Simon Weissmann
Keyword(s):  
Inverse Problems ◽  
Data Driven ◽  
Consistency Analysis

scholarly journals Existence, regularity and weak-strong uniqueness for three-dimensional Peterlin viscoelastic model

2022 ◽  
Vol 20 (1) ◽  
pp. 201-230
Author(s):  
Aaron Brunk ◽  
Yong Lu ◽  
Mária Lukáčová-Medviďová
Keyword(s):  
Viscoelastic Model ◽  
Three Dimensional ◽  
Strong Uniqueness

scholarly journals Mass-energy threshold dynamics for dipolar quantum gases

2022 ◽  
Vol 20 (1) ◽  
pp. 165-200
Author(s):  
Van Duong Dinh ◽  
Luigi Forcella ◽  
Hichem Hajaiej
Keyword(s):  
Quantum Gases ◽  
Energy Threshold ◽  
Threshold Dynamics ◽  
Mass Energy

scholarly journals Lake equations with an evanescent or emergent island

2022 ◽  
Vol 20 (1) ◽  
pp. 85-122
Author(s):  
Lars Eric Hientzsch ◽  
Christophe Lacave ◽  
Evelyne Miot
Keyword(s):  
Lake Equations

scholarly journals Identification of time-varying source term in time-fractional diffusion equations

2022 ◽  
Vol 20 (1) ◽  
pp. 53-84
Author(s):  
Yavar Kian ◽  
Éric Soccorsi ◽  
Qi Xue ◽  
Masahiro Yamamoto
Keyword(s):  
Source Term ◽  
Fractional Diffusion ◽  
Diffusion Equations ◽  
Time Varying ◽  
Fractional Diffusion Equations

Cauchy–Born rule and stability of crystalline solids at finite temperature

2021 ◽  
Vol 19 (6) ◽  
pp. 1461-1490
Author(s):  
Tao Luo ◽  
Yang Xiang ◽  
Jerry Zhijian Yang ◽  
Cheng Yuan
Keyword(s):  
Finite Temperature ◽  
Crystalline Solids ◽  
Born Rule
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