Results 31 to 40 of about 16,133 (129)

Macroscopic Market Making Games

Mathematical Finance, EarlyView.
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley   +1 more source

Combustion waves in a model with chain branching reaction and their stability

, 2007
In this paper the travelling wave solutions in the adiabatic model with two-step chain branching reaction mechanism are investigated both numerically and analytically in the limit of equal diffusivity of reactant, radicals and heat.
Dold J. W., Evans J. W., G. N. Mercer, Gubernov V. V., H. S. Sidhu, Liñán A., Pitsch H., Simon P. L., V. V. Gubernov, Warnatz J., Weber R. O.   +10 more
core   +1 more source

Utility of local capillary supply indices: Insights from computational image‐based modelling

The Journal of Physiology, EarlyView.
Abstract figure legend Local capillary distribution and fibre geometry influence oxygen availability in skeletal muscle. Image‐based modelling of tissue PO2${{P}_{{{{\mathrm{O}}}_2}}}$ shows that area‐based measures of capillary supply – the local capillary density (LCDi) and local maximum diffusion distance (Dmax,i) – most accurately represent the ...
Abdullah A. Al‐Shammari, Roger W. P. Kissane, Ali Ashkanani, Ashraf Al Madhoun, Fahd Al‐Mulla, Eamonn A. Gaffney, Stuart Egginton   +6 more
wiley   +1 more source

On the long-time behavior of a continuous duopoly model with constant conjectural variation

, 2015
The paper concerns a continuous model governed by a ODE system originated by a discrete duopoly model with bounded rationality, based on constant conjectural variation.
Torcicollo, Isabella
core   +1 more source

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

A priori estimates and large population limits for some nonsymmetric Nash systems with semimonotonicity

Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.
Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
wiley   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

Solvable vector nonlinear Riemann problems, exact implicit solutions of dispersionless PDEs and wave breaking

, 2010
We have recently solved the inverse spectral problem for integrable PDEs in arbitrary dimensions arising as commutation of multidimensional vector fields depending on a spectral parameter $\lambda$.
Bogdanov L, Bogdanov L, Dunajski M, Dunajski M Tod K P, Guil F, Kadomtsev B B, Kodama Y, Konopelchenko B, Manakov S V, Manakov S V, Manakov S V, Manakov S V Santini P M, Neyzi F, P M Santini, S V Manakov, Takasaki K Takebe T, Takasaki K Takebe T, Timman R Oswatitsch K, Zakharov V E, Zakharov V E, Zakharov V E, Zobolotskaya E A   +21 more
core   +1 more source

Computational frameworks for modelling cancer across scales

Clinical and Translational Discovery, Volume 5, Issue 6, December 2025.
Provides an integrative overview of computational frameworks for modelling cancer across biological scales. Illustrates the characteristics, advantages, and limitations of ODE/PDE, agent‐based, hybrid multiscale, and integrative translational models. Highlights how these paradigms collectively bridge mechanistic understanding with clinical translation.
Celine Desoyer, Daniel Loibner, Dagmar Brislinger, Christian Baumgartner   +3 more
wiley   +1 more source

Consensus-based control for a network of diffusion PDEs with boundary local interaction

, 2015
In this paper the problem of driving the state of a network of identical agents, modeled by boundary-controlled heat equations, towards a common steady-state profile is addressed.
Orlov, Y., Pilloni, A., Pisano, A., Usai, E.   +3 more
core   +1 more source