Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System
ABSTRACTWe study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic problem and avoid higher‐order energy estimates and inverse inequalities ...
Marvin Fritz
wiley +1 more source
Generalization bounds for a generator-regularized InfoGAN-inspired adversarial objective. [PDF]
Hasan M, Muia MN, Islam MM.
europepmc +1 more source
Approximate Reachability for Feedback Linearizable Systems
The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu +2 more
wiley +1 more source
From Nash Equilibrium to Social Optimum and Back: A Mean Field Perspective. [PDF]
Carmona R +3 more
europepmc +1 more source
A Posteriori Estimates For A Coupled Piezoelectric Model With Uncertain Data
ABSTRACT The paper is concerned with a coupled piezo‐electric problem with incompletely known coefficients of the elasticity tensor and two other tensors that define electric properties of the media. Due to this uncertainty, the problem possesses a set (cloud) of equally probable solutions instead of a unique solution.
S. Repin, T. Samrowski
wiley +1 more source
Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation. [PDF]
Carrillo JA, Esposito A, Mikolás L.
europepmc +1 more source
Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data
Abstract In this study, a fractional‐order SEIuITR $SE{I}_{u}ITR$ model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐free equilibrium was obtained.
Kumama Regassa Cheneke +2 more
wiley +1 more source
The global inverse fractional conductivity problem. [PDF]
Covi G, Railo J, Zimmermann P.
europepmc +1 more source
Squeezed‐State Semi‐Device‐Independent Quantum Randomness Generation
Semi‐device‐independent quantum randomness is certified for squeezed‐coherent binary states using only their trusted overlap and the observed homodyne error. Including the deterministic extremes of the full binary‐qubit POVM gives the correct closed‐form Shannon rate.
Hamid Tebyanian
wiley +1 more source
OPERA: A Unified Framework for AI-Assisted Polymer Metamaterial Design Through Operator Learning, Physics Embedding, and Normalizing-Flow Inverse Architecture. [PDF]
Enakoutsa K, Giorgio I.
europepmc +1 more source

