Transcendental entire solutions of several general quadratic type PDEs and PDDEs in $ \mathbb{C}^2 $
The functional equations $ f^2+g^2=1 $ and $ f^2+2αfg+g^2=1 $ are respectively called Fermat-type binomial and trinomial equations. It is of interest to know about the existence and form of the solutions of general quadratic functional equations. Utilizing Nevanlinna's theory for several complex variables, in this paper, we study the existence and form
Ahamed, Molla Basir, Mandal, Sanju
openaire +2 more sources
Stochastic PDEs via convex minimization [PDF]
We prove the applicability of the Weighted Energy-Dissipation (WED) variational principle to nonlinear parabolic stochastic partial differential equations in abstract form.
Scarpa L., Stefanelli U.
core +1 more source
Analysis of Systems of Hyperbolic Partial Differential Equations Coupled to Switched Differential Algebraic Equations [PDF]
Simplified ODE models describing blood flow rate are governed by the pressure gradient. However, assuming the orientation of the blood flow in a human body correlates to a positive direction, a negative pressure gradient forces the valve to shut, which
Kocoglu, Damla
core +1 more source
Optimal Control of Quasilinear Parabolic PDEs: Theory and Numerics [PDF]
This thesis is concerned with theory and numerics of optimal control of quasilinear parabolic PDEs. The underlying parabolic PDE models, e.g., heat conduction with temperature-dependent thermal conductivity and is highly nonlinear with a nonmonotone ...
Hoppe, Fabian
core
The class of Clifford-Fourier transforms [PDF]
Recently, there has been an increasing interest in the study of hypercomplex signals and their Fourier transforms. This paper aims to study such integral transforms from general principles, using 4 different yet equivalent definitions of the classical ...
De Bie, Hendrik +5 more
core +1 more source
Contributions to Nonlinear PDEs arising in Conformal Geometry, Mean Field Games and Choquard models. [PDF]
The goal of this thesis is to analyze certain nonlinear elliptic Partial Differential Equations (briefly PDEs) that arise in Conformal Geometry, Mean Field Games theory, and Choquard models.
BERNARDINI, CHIARA
core
Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies
The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley +1 more source
Terminal groups on Cu porphyrins modulate the electronic states of single‐atom Cu centers through a long‐range electronic effect, without altering the Cu coordination geometry. Meanwhile, a multi‐descriptor framework is established that incorporates porphyrin regulation, hybrid catalyst properties, and CO2 photoreduction capabilities.
Yi Zhang +13 more
wiley +1 more source
Portopulmonary hypertension practice patterns after liver transplantation
Abstract Portopulmonary hypertension (POPH) is a type of pulmonary arterial hypertension occurring exclusively in those with portal hypertensive liver disease. Liver transplantation (LT) can significantly improve outcomes. Current guidelines counsel against immediate adjustments to targeted therapy after LT and suggest routine echocardiography as ...
Arun Jose +3 more
wiley +1 more source
Mixed convective and radiative wavy motion of Williamson fluid in the presence of microorganisms
Living microorganisms' existence is a common feature of Newtonian and non-Newtonian radiative materials. The more complex nature of such materials is rigorously determined by including nano-size particles.
Atta Ur Rahman, Latif Ahmad
doaj +1 more source

