Results 1 to 10 of about 1,325,975 (331)
A parabolic-hyperbolic free boundary problem modeling tumor growth with drug application
Electronic Journal of Differential Equations, 2010 In this article, we study a free boundary problem modeling the growth of tumors with drug application. The model consists of two nonlinear second-order parabolic equations describing the diffusion of nutrient and drug concentration, and three ...
Ji-Hong Zhao
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Free boundary problem for predator-prey model [PDF]
E3S Web of Conferences, 2023 In this article, we study the behavior of two species evolving in a domain with a free boundary. This system mimics the spread of invasive or new predator species, in which free boundaries represent the expanding fronts of predator species and are ...
Elmurodov Alimardon +4 more
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Properties of the free boundary near the fixed boundary of the double obstacle problems
Bulletin of Mathematical Sciences, 2022 In this paper, we study the tangential touch and [Formula: see text] regularity of the free boundary near the fixed boundary of the double obstacle problem for Laplacian and fully nonlinear operator.
Jinwan Park
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Asymptotic Behavior of Solutions to Free Boundary Problem with Tresca Boundary Conditions
Journal of Function Spaces, 2021 In this paper, we study the asymptotic behavior of an incompressible Herschel-Bulkley fluid in a thin domain with Tresca boundary conditions. We study the limit when the ε tends to zero, we prove the convergence of the unknowns which are the velocity and
Abdelkader Saadallah +5 more
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Local Well-Posedness for Free Boundary Problem of Viscous Incompressible Magnetohydrodynamics
Mathematics, 2021 In this paper, we consider the motion of incompressible magnetohydrodynamics (MHD) with resistivity in a domain bounded by a free surface. An electromagnetic field generated by some currents in an external domain keeps an MHD flow in a bounded domain. On
Kenta Oishi, Yoshihiro Shibata
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Regularity results for a quasilinear free boundary problem
Mathematical Modelling and Analysis, 2020 In this paper we prove local interior and boundary Lipschitz continuity of the solutions of a quasilinear free boundary problem. We also show that the free boundary is the union of graphs of lower semi-continuous functions.
Samia Challal, Abdeslem Lyaghfouri
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On a Multistable Type of Free Boundary Problem with a Flux at the Boundary
Advances in Mathematical Physics, 2023 This paper studies the free boundary problem of a multistable equation with a Robin boundary condition, which may be used to describe the spreading of the invasive species with the solution representing the density of species and the free boundary ...
Haitao Ren, Jingjing Cai, Li Xu
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Regularity in a one-phase free boundary problem for the fractional Laplacian [PDF]
, 2011 For a one-phase free boundary problem involving a fractional Laplacian, we prove that "flat free boundaries" are $C^{1,\alpha}$. We recover the regularity results of Caffarelli for viscosity solutions of the classical Bernoulli-type free boundary problem
Alt +15 more
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Analysis of a multiphase free boundary problem [PDF]
Opuscula MathematicaIn this paper, we investigate a free boundary problem relevant in several applications, such as tumor growth models. Our problem is expressed as an elliptic equation involving discontinuous nonlinearities in a specified domain with a moving boundary.
Ahlem Abdelouahab, Sabri Bensid
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Existence of solution of a free boundary problem for reaction-diffusion systems
Современная математика: Фундаментальные направления, 2022 In this paper, we prove the existence of solution of a novel free boundary problem for reaction-diffusion systems describing growth of biological tissues due to cell influx and proliferation.
G. A. Younes +2 more
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