Phosphodiesterase and psychiatric disorders: a two-sample Mendelian randomization study
Journal of Translational Medicine, 2023 Background Phosphodiesterases (PDEs) have been associated with psychiatric disorders in observational studies; however, the causality of associations remains unestablished.
Miaomiao Jiang +7 more
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Stochastic PDEs with multiscale structure [PDF]
, 2012 We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise.
Martin Hairer +4 more
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Moving boundary problems for a novel extended mKdV equation. Application of Ermakov-Painlevé II symmetry reduction [PDF]
Open Communications in Nonlinear Mathematical PhysicsA novel extension of the canonical solitonic mKdV equation is introduced which admits hybrid Ermakov-Painlevé II symmetry reduction. Application of the latter is made to obtain exact solution of Airy-type to a class of moving boundary problems of Stefan ...
Colin Rogers, Adriana C. Briozzo
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Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications [PDF]
Open Communications in Nonlinear Mathematical PhysicsMoving boundary problems of Stefan-type for a novel third order nonlinear evolution equation with temporal modulation are here shown to be amenable to exact Airy-type solution via a classical Ermakov equation with its admitted nonlinear superposition ...
Colin Rogers, Adriana C. Briozzo
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Stability analysis of hierarchical tensor methods for time-dependent PDEs [PDF]
Journal of Computational Physics, 2019 In this paper we address the question of whether it is possible to integrate time-dependent high-dimensional PDEs with hierarchical tensor methods and explicit time stepping schemes.
Abram Rodgers, D. Venturi
semanticscholar +1 more source
Leader-Follower Synchronization and ISS Analysis for a Network of Boundary-Controlled Wave PDEs [PDF]
IEEE Control Systems Letters, 2020 A network of agents, modeled by a class of wave PDEs, is under investigation. One agent in the network plays the role of a leader, and all the remaining “follower” agents are required to asymptotically track the state of the leader. Only boundary sensing
L. Aguilar, Y. Orlov, A. Pisano
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On Riemann wave superpositions obtained from the Euler system [PDF]
Open Communications in Nonlinear Mathematical PhysicsThe paper contains an analysis of the conditions for the existence of elastic versus non-elastic wave superpositions governed by the Euler system in (1+1)-dimensions.
Łukasz Chomienia +1 more
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A weak maximum principle-based approach for input-to-state stability analysis of nonlinear parabolic PDEs with boundary disturbances [PDF]
MCSS. Mathematics of Control, Signals and Systems, 2019 In this paper, we introduce a weak maximum principle-based approach to input-to-state stability (ISS) analysis for certain nonlinear partial differential equations (PDEs) with certain boundary disturbances.
Jun Zheng, Gu-Chuan Zhu
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Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers [PDF]
SIAM Journal on Numerical Analysis, 2020 Coupled partial differential equations defined on domains with different dimensionality are usually called mixed dimensional PDEs. We address mixed dimensional PDEs on three-dimensional (3D) and one-dimensional domains, giving rise to a 3D-1D coupled ...
M. Kuchta +3 more
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Conservation laws of nonlinear PDEs arising in elasticity and acoustics in Cartesian, cylindrical, and spherical geometries [PDF]
Open Communications in Nonlinear Mathematical PhysicsConservation laws are computed for various nonlinear partial differential equations that arise in elasticity and acoustics. Using a scaling homogeneity approach, conservation laws are established for two models describing shear wave propagation in a ...
Willy Hereman, Rehana Naz
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