Results 41 to 50 of about 11,070 (191)

Inverse source problems for degenerate time-fractional PDE

, 2020
In this paper, we investigate two inverse source problems for degenerate time-fractional partial differential equation in rectangular domains. The first problem involves a space-degenerate partial differential equation and the second one involves a time ...
Al-Salti, Nasser, Karimov, Erkinjon
core  

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source

Symmetry and Lie-Frobenius reduction of differential equations

, 2014
Twisted symmetries, widely studied in the last decade, proved to be as effective as standard ones in the analysis and reduction of nonlinear equations. We explain this effectiveness in terms of a Lie-Frobenius reduction; this requires to focus not just ...
Gaeta, Giuseppe
core   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: a Review and Extensions of Tests for the Painlev\'e Property

, 1997
The integrability (solvability via an associated single-valued linear problem) of a differential equation is closely related to the singularity structure of its solutions.
A. C. Newell, A. Fordy, A. Ramani, A. Ramani, B. Gambier, C. M. Cosgrove, C.M. Bender, C.S. Gardner, D.K. Ludlow, E.A. Coddington, E.L. Ince, F.J. Bureau, F.W.J. Olver, G. Halphen, H. Yoshida, J. Chazy, J. Chazy, J. Weiss, J.B. McLeod, L. Hlavatý, L.J. Mason, M.D. Kruskal, M.D. Kruskal, M.D. Kruskal, M.D. Kruskal, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, N. Joshi, N. Joshi, N. Joshi, N. Joshi, N. Joshi, N. Joshi, P. Boutroux, P. Painlevé, P. Painlevé, P. Painlevé, P. Painlevé, P.A. Clarkson, R. Conte, R. Fuchs, R. Grimshaw, S. Kichenassamy, S. Kichenassamy, S. Kowalevski, S. Kowalevski, S. Ziglin, S. Ziglin, T. Bountis, V.I. Arnold, Z. Nehari   +53 more
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Numerical simulation study on the evolution of the temperature field and frozen wall in fractured rock mass

Deep Underground Science and Engineering, EarlyView.
The evolution of the temperature field and frozen wall under different fracture conditions was examined by an artificial ground freezing‐based thermal‐hydraulic coupled model. It was observed that fracture inclination affects the interaction extent of freezing pipes and fracture, while phase transition extent is the dominant factor for heat transfer in
Chenyi Zhang, Tingting Luo, Tao Zhang, Tao Han, Xiaodong Zhao, Haipeng Li, Yanfei Ma, Faxing Zhang, Madhusudhan Bangalore Narasimha Murthy, Weihao Yang   +9 more
wiley   +1 more source

On the relationship between nonlinear equations integrable by the method of characteristics and equations associated with commuting vector fields

, 2009
It was shown recently that Frobenius reduction of the matrix fields reveals interesting relations among the nonlinear Partial Differential Equations (PDEs) integrable by the Inverse Spectral Transform Method ($S$-integrable PDEs), linearizable by the ...
A. I. Zenchuk, Kadomtsev B. B., Manakov S. V., Whitham J. B., Zakharov V. E., Zakharov V. E., Zakharov V. E.   +6 more
core   +1 more source

Research progress and current status of dynamic wave propagation characteristics in rock mass: A review

Deep Underground Science and Engineering, EarlyView.
This review elucidates the velocity–dispersion–attenuation coupling mechanisms of wave propagation in rock masses, compares six representative models, and reveals how pressure, temperature, mineral composition, and anisotropy jointly control dynamic responses in complex geological media.
Jiajun Shu, Tao Li, Ruiqi Yuan, Yue Li, Bingni Wu, Bo Liu, Zhengding Deng, Galindo Rubén, Fausto Molina‐Gómez   +8 more
wiley   +1 more source

Cilostazol in patients with heart failure and preserved ejection fraction—The CLIP‐HFpEF trial

ESC Heart Failure, Volume 12, Issue 2, Page 1437-1446, April 2025.
• Cilostazol is an oral PDE‐3 inhibitor that may have advantageous effects in heart failure with preserved ejection fraction (HFpEF). • Cilostazol significantly improved short‐term heart failure‐related health status scores (KCCQ‐12) and NT‐proBNP levels when compared to placebo.
Norman Aiad, Jeanne du Fay de Lavallaz, Michael J. Zhang, Thanat Chaikijurajai, Bo Ye, Prabhjot S. Nijjar, Julie A. Lahiri, Cindy M. Martin, Tamas Alexy, Markus Meyer   +9 more
wiley   +1 more source

Optimal control of fractional systems: a diffusive formulation [PDF]

, 2010
Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint ...
Matignon, Denis
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