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Energy conservation and vanishing viscosity limit for the primitive equation
Author: Necasova, Sarka; Tang, Tong; Wiedemann, Emil; Zhu, Lu
Journal: MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 2026; Vol. , Issue , pp. -. DOI: 10.1142/S0218202526500272
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Deep neural ODE operator networks for PDE
Author: Li, Ziqian; Liu, Kang; Song, Yongcun; Yue, Hangrui; Zuazua, Enrique
Journal: MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 2026; Vol. , Issue , pp. -. DOI: 10.1142/S0218202526420054
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Boundedness in a two-dimensional doubly degenerate nutrient taxis system (vol 36, 2650007, 2026
Author: Zhang, Zhiguang; Li, Yuxiang
Journal: MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 2026; Vol. , Issue , pp. -. DOI: 10.1142/S0218202526920016
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Consensus dynamics of behavioral swarm models with random batch interactions and external noise
Author: Bellomo, Nicola; Ha, Seung-Yeal; Kim, Myeonghyeon; Liao, Jie
Journal: MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 2026; Vol. , Issue , pp. -. DOI: 10.1142/S0218202526410022
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Well-posedness of classical solutions to the vacuum free boundary problem of the viscous Saint-Venant system for shallow waters in 1
Author: Li, Hai-Liang; Wang, Yuexun; Xin, Zhouping
Journal: MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 2026; Vol. , Issue , pp. -. DOI: 10.1142/S0218202526500120
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Moisture dynamics with phase changes coupled to heat-conducting, compressible fluid
Author: Brandt, Felix; Hieber, Matthias; Ma, Lin; Zochling, Tarek
Journal: MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 2026; Vol. , Issue , pp. -. DOI: 10.1142/S0218202526500156
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Blow-up and boundedness in a chemotaxis system with flux limitation and nonlinear diffusio
Author: Zhang, Minghua; Mu, Chunlai; Tu, Xinyu
Journal: MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 2026; Vol. , Issue , pp. -. DOI: 10.1142/S0218202526500211
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The mathematical theory of behavioral swarms: Toward modeling the collective dynamics of living system
Author: Fabregas, Rene; Liao, Jie; Outada, Nisrine
Journal: MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 2026; Vol. , Issue , pp. -. DOI: 10.1142/S021820252640004X
