Results 31 to 40 of about 831 (128)

On periodic water waves with Coriolis effects and isobaric streamlines

, 2012
In this paper we prove that solutions of the f-plane approximation for equatorial geophysical deep water waves, which have the property that the pressure is constant along the streamlines and do not possess stagnation points,are Gerstner-type waves ...
Constantin A., Constantin A., Constantin A., Constantin A., Constantin A., Constantin A., Constantin A., Gallagher I., Henry D., Henry D., Matioc A.-V., Matioc A.-V., Matioc A.-V., Matioc B.-V., Matioc B.-V., Stuhlmeier R., W. J.   +16 more
core   +1 more source

Strictly Dominated Strategies in the Replicator-Mutator Dynamics [PDF]

, 2011
The replicator-mutator dynamics is a set of differential equations frequently used in biological and socioeconomic contexts to model evolutionary processes subject to mutation, error or experimentation.
Izquierdo Millán, Luis Rodrigo, Izquierdo, Segismundo S.   +1 more
core   +2 more sources

Quasilinear Degenerate Evolution Systems Modelling Biofilm Growth: Well‐Posedness and Qualitative Properties

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley   +1 more source

Existence of a non‐stationary equilibrium in search‐and‐matching models: TU and NTU

Theoretical Economics, Volume 20, Issue 4, Page 1411-1460, November 2025.
This paper proves the existence of a non‐stationary equilibrium in the canonical search‐and‐matching model with heterogeneous agents. Non‐stationarity entails that the number and characteristics of unmatched agents evolve endogenously over time.
Christopher Sandmann, Nicolas Bonneton
wiley   +1 more source

Complete algorithms for algebraic strongest postconditions and weakest preconditions in polynomial ODEs

, 2020
A system of polynomial ordinary differential equations (ODEs) is specified via a vector of multivariate polynomials, or vector field, $F$. A safety assertion $\psi\rightarrow[F]\phi$ means that the trajectory of the system will lie in a subset $\phi ...
Boreale, Michele
core   +1 more source

Forward and Backward Bisimulations for Chemical Reaction Networks [PDF]

, 2015
We present two quantitative behavioral equivalences over species of a chemical reaction network (CRN) with semantics based on ordinary differential equations.
Cardelli, Luca, Tribastone, Mirco, Tschaikowski, Max, Vandin, Andrea   +3 more
core   +4 more sources

Challenges in Automatic Differentiation and Numerical Integration in Physics‐Informed Neural Networks Modelling

International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.
ABSTRACT In this paper, we numerically examine the precision challenges that emerge in automatic differentiation and numerical integration in various tasks now tackled by physics‐informed neural networks (PINNs). Specifically, we illustrate how ill‐posed problems or inaccurately computed functions can cause serious precision issues in differentiation ...
Josef Daněk, Jan Pospíšil
wiley   +1 more source

Mathematical modelling of COVID-19 outbreak using caputo fractional derivative: stability analysis

Applied Mathematics in Science and Engineering
The novel coronavirus SARS-Cov-2 is a pandemic condition and poses a massive menace to health. The governments of different countries and their various prohibitory steps to restrict the virus's expanse have changed individuals' communication processes ...
Ihtisham Ul Haq, Nigar Ali, Abdul Bariq, Ali Akgül, Dumitru Baleanu, Mustafa Bayram   +5 more
doaj   +1 more source

Augury and Forerunner: Real‐Time Feedback Via Predictive Numerical Optimization and Input Prediction

Computer Graphics Forum, Volume 44, Issue 6, September 2025.
Transient information generated by solver steps can inform future objective function minimization. In Augury, we explore the impact of predictive numerical optimization by using solver history to predict future minimization solutions, reducing computational resources needed to arrive at convergent states for a broad class of gradient‐based optimization
J. Graus, Y. Gingold
wiley   +1 more source

A Discontinuous Galerkin Method for Simulating 3D Seismic Wave Propagation in Nonlinear Rock Models: Verification and Application to the Mw 7.8 2015 Gorkha, Nepal Earthquake

Journal of Geophysical Research: Solid Earth, Volume 130, Issue 7, July 2025.
Abstract The nonlinear mechanical responses of rocks and soils to seismic waves play an important role in earthquake physics, influencing ground motion from source to site. Continuous geophysical monitoring, such as ambient noise interferometry, has revealed co‐seismic wave speed reductions extending tens of kilometers from earthquake sources. However,
Zihua Niu, Alice‐Agnes Gabriel, Sebastian Wolf, Thomas Ulrich, Vladimir Lyakhovsky, Heiner Igel   +5 more
wiley   +1 more source