Asymptotic Behavior of Solutions of Free Boundary Problem with Logistic Reaction Term by Jingjing Cai

“…We study a free boundary problem for a reaction diffusion equation modeling the spreading of a biological or chemical species. …”
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On the Solution of a Hyperbolic One-Dimensional Free Boundary Problem for a Maxwell Fluid by Lorenzo Fusi, Angiolo Farina

“…We study a hyperbolic (telegrapher's equation) free boundary problem describing the pressure-driven channel flow of a Bingham-type fluid whose constitutive model was derived in the work of Fusi and Farina (2011). …”
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Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation by Yoshiaki Kusaka

“…The model is described as a free boundary problem consisting of the Navier-Stokes equations and a surface mass balance equation. …”
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A mathematical model for chronic wounds by Avner Friedman, Chuan Xue

Subjects: “…free boundary problem…”
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On a mathematical model of tumor growth based on cancer stem cells by J. Ignacio Tello

Subjects: “…free boundary problems…”
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A partial differential equation model of metastasized prostatic cancer by Avner Friedman, Harsh Vardhan Jain

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Investigating the steady state of multicellular spheroids by revisiting the two-fluid model by Antonio Fasano, Marco Gabrielli, Alberto Gandolfi

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Interstitial Pressure And Fluid Motion In Tumor Cords by Alessandro Bertuzzi, Antonio Fasano, Alberto Gandolfi, Carmela Sinisgalli

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Glowinski and numerical control problems by Fernández-Cara, Enrique

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G-Doob-Meyer Decomposition and Its Applications in Bid-Ask Pricing for Derivatives under Knightian Uncertainty by Wei Chen

“…Finally, we consider a free boundary problem, prove the strong solution existence of the free boundary problem, and derive that the value function of the optimal stopping problem is equivalent to the strong solution to the free boundary problem.…”
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Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets by Davide Catania

“…We consider the free boundary problem for current-vortex sheets in ideal incompressible magnetohydrodynamics. …”
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Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion by S. I. Senashov, A. Yakhno

“…For the system of the plane strain, the conservation laws are used to solve the free boundary problem for any convex smooth contour loaded with constant normal and zero tangential stresses.…”
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On the optimal exercise boundary for an American put option by Ghada Alobaidi, Roland Mallier

“…American options may be exercised at any time prior to expiry at the discretion of the holder, and the decision as to whether or not to exercise leads to a free boundary problem. In this paper, we examine the behavior of the free boundary close to expiry. …”
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Continuum limits of particles interacting via diffusion by Nicholas D. Alikakos, Giorgio Fusco, Georgia Karali

“…We consider a two-phase system mainly in three dimensions and we examine the coarsening of the spatial distribution, driven by the reduction of interface energy and limited by diffusion as described by the quasistatic Stefan free boundary problem. Under the appropriate scaling we pass rigorously to the limit by taking into account the motion of the centers and the deformation of the spherical shape. …”
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Asymptotic analysis of American call options by Ghada Alobaidi, Roland Mallier

“…This leads to a free boundary problem for the optimal exercise boundary, which determines whether or not it is beneficial for the holder to exercise the option prior to expiration. …”
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The risk index for an SIR epidemic model and spatial spreading of the infectious disease by Min Zhu, Xiaofei Guo, Zhigui Lin

“…By exhibiting the basic reproduction number $R_0^{DA}$ for an associated model with Dirichlet boundary condition, we introduce the risk index $R^F_0(t)$ for the free boundary problem, which depends on the advection coefficient and time. …”
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