Results 41 to 50 of about 52,350 (200)
We present a methodology for stabilization of general nonlinear systems with actuator dynamics governed by quasilinear transport PDEs. Since for such PDE-ODE cascades the speed of propagation depends on the PDE state itself (which implies that the prediction horizon cannot be a priori known analytically), the key design challenge is the determination ...
Μπεκιαρης-Λυμπερης Νικολαος(http://users.isc.tuc.gr/~nlimperis) +2 more
openaire +2 more sources
High-efficiency implicit scheme for solving first-order partial differential equations
We present three new approaches for solving first-order quasi-linear partial differential equations (PDEs) with iterative methods of high stability and low cost.
Alicia Cordero +3 more
doaj +1 more source
Nonlinear first order PDEs reducible to autonomous form polynomially homogeneous in the derivatives
23 pages, no ...
Gorgone, Matteo, OLIVERI, Francesco
openaire +4 more sources
Contact equations, Lipschitz extensions and isoperimetric inequalities
We characterize locally Lipschitz mappings and existence of Lipschitz extensions through a first order nonlinear system of PDEs. We extend this study to graded group-valued Lipschitz mappings defined on compact Riemannian manifolds.
Magnani, Valentino
core +2 more sources
The unsteady convective boundary layer flow of a nanofluid along a permeable shrinking/stretching plate under suction and second-order slip effects has been developed. Buongiorno’s two-component nonhomogeneous equilibrium model is implemented to take the
Mousavi Seyed Mahdi +2 more
doaj +1 more source
The Vanishing Moment Method for Fully Nonlinear Second Order Partial Differential Equations: Formulation, Theory, and Numerical Analysis [PDF]
The vanishing moment method was introduced by the authors in [37] as a reliable methodology for computing viscosity solutions of fully nonlinear second order partial differential equations (PDEs), in particular, using Galerkin-type numerical methods such
Feng, Xiaobing, Neilan, Michael
core
A discrete linearizability test based on multiscale analysis [PDF]
In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic solution.
Agrotis M +22 more
core +2 more sources
Navigating the Ethereal Tightrope: The Nanogenerator Manipulates Neurons for Immune Equilibrium
This review explores how nanogenerators modulate neuroimmune responses, offering innovative strategies for treating neurological disorders. By interfacing with neural pathways, they enable precise control of immune activity, especially via vagus nerve stimulation.
Jia Du +5 more
wiley +1 more source
Ionic–Bionic Interfaces: Advancing Iontronic Strategies for Bioelectronic Sensing and Therapy
Ionic–bionic interfaces for bioelectronics leverage ions as multifunctional mediators that combine mechanical compliance, ionic and electronic functionalities, and therapeutic effects. These systems offer real‐time biosignal transduction, effective wound dressing, responsive drug delivery, and seamless interaction between soft tissues and electronic ...
Yun Goo Ro +6 more
wiley +1 more source
Continuity of the Feynman-Kac formula for a generalized parabolic equation
It is well-known since the work of Pardoux and Peng [12] that Backward Stochastic Differential Equations provide probabilistic formulae for the solution of (systems of) second order elliptic and parabolic equations, thus providing an extension of the ...
Pardoux, Etienne, Rascanu, Aurel
core +3 more sources

