Results 41 to 50 of about 89,092 (266)
Ray methods for free boundary problems [PDF]
Quarterly of Applied Mathematics, 2006 We discuss the use of the WKB ansatz in a variety of parabolic problems involving a small parameter. We analyse the Stefan problem for small latent heat, the Black–Scholes problem for an American put option, and some nonlinear diffusion equations, in each case constructing an asymptotic solution by the use of ray methods.
Addison, J, Howison, S, King, J
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective We aim to comprehensively analyze how regional tumor and edema characteristics are associated with clinical presentations and survival outcomes in a large cohort of glioblastoma patients. Methods Patients with IDH‐wildtype glioblastoma who received brain MRI from 2010 to 2023 were included.
Daniel J. Zhou +16 more
wiley +1 more source
Self-similar solutions of a multi-phase Stefan problem on the half-line
Современная математика: Фундаментальные направленияIn this paper, we study self-similar solutions of the multiphase Stefan problem for the heat equation on the half-line x 0 with constant initial data and Dirichlet or Neumann boundary conditions. In the case of the Dirichlet boundary condition, we prove
E. Yu. Panov
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New Trends in Free Boundary Problems [PDF]
Advanced Nonlinear Studies, 2017 Abstract We present a series of recent results on some new classes of free boundary problems.Differently from the classical literature, the problems considered have either a “nonlocal” feature (e.g., the interaction or/and the interfacial energy may depend on global quantities) or a “nonlinear” flavor (namely, the total energy is the ...
Dipierro, Serena +2 more
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
Boundary monotonicity formulae and applications to free boundary problems I: The elliptic case
Electronic Journal of Differential Equations, 2004 We derive a monotonicity formula at boundary points for a class of nonlinear elliptic partial differential equations, including the obstacle problem case, quenching, a free boundary problem with Bernoulli-type free boundary condition as well as the blow ...
Georg S. Weiss
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An Integral Equation Approach to the Irreversible Investment Problem with a Finite Horizon
Mathematics, 2020 This paper studies an irreversible investment problem under a finite horizon. The firm expands its production capacity in irreversible investments by purchasing capital to increase productivity.
Junkee Jeon, Geonwoo Kim
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
THE STEFAN PROBLEM WITH KINETIC FUNCTIONS AT THE FREE BOUNDARY [PDF]
Journal of Sciences, Islamic Republic of Iran, 1999 This paper considers a class of one-dimensional solidification problem in which kinetic undercooling is incorporated into the temperature condition at the interface. A model problem with nonlinear kinetic law is considered.
doaj
Existence of periodic solution to one dimensional free boundary problems for adsorption phenomena [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2018 In this paper we consider a drying and wetting process in porous medium to create a mathematical model for concrete carbonation. The process is assumed to be characterized by the growth of the air zone and a diffusion of moisture in the air zone.
T. Aiki, N. Sato
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