Results 51 to 60 of about 26,191 (209)
A partial differential equation for the strictly quasiconvex envelope
In a series of papers Barron, Goebel, and Jensen studied Partial Differential Equations (PDE)s for quasiconvex (QC) functions \cite{barron2012functions, barron2012quasiconvex,barron2013quasiconvex,barron2013uniqueness}. To overcome the lack of uniqueness
Abbasi, Bilal, Oberman, Adam M.
core +1 more source
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
Real eternal PDE solutions are not complex entire: a quadratic parabolic example [PDF]
Bernold Fiedler, Hannes Stuke
+6 more sources
The Initial Value Formulation of Dynamical Chern-Simons Gravity
We derive an initial value formulation for dynamical Chern-Simons gravity, a modification of general relativity involving parity-violating higher derivative terms.
Delsate, Térence +2 more
core +1 more source
Abstract We analyze the effect of regulatory capital constraints on financial stability in a large homogeneous banking system using a mean‐field game (MFG) model. Each bank holds cash and a tradable risky asset. Banks choose absolutely continuous trading rates in order to maximize expected terminal equity, with trades subject to transaction costs ...
Rüdiger Frey, Theresa Traxler
wiley +1 more source
A priori bounds for the generalised parabolic Anderson model
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source
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 +9 more
wiley +1 more source
Abstract Background In vertebrate embryogenesis, cranial neural crest cells (CNCCs) migrate along discrete pathways. Analyses in the chick have identified key molecular candidates for the confinement of CNCC migration to stereotypical pathways as Colec12, Trail, and Dan.
Samuel W. S. Johnson +3 more
wiley +1 more source
Abstract Aims Myocardial inflammation and impaired mitochondrial oxidative capacity are hallmarks of heart failure (HF) pathophysiology. The extent of myocardial inflammation in patients suffering from ischaemic cardiomyopathy (ICM) or dilated cardiomyopathy (DCM) and its association with mitochondrial energy metabolism are unknown.
Julius Borger +15 more
wiley +1 more source
Cilostazol in patients with heart failure and preserved ejection fraction—The CLIP‐HFpEF trial
• 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 +9 more
wiley +1 more source

