Results 11 to 20 of about 1,011,292 (311)
A Free Boundary Problem for the Predator–Prey Model with Double Free Boundaries [PDF]
Journal of Dynamics and Differential Equations, 2015 25 ...
Wang, Mingxin, Zhao, Jingfu
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A free boundary problem arising from branching Brownian motion with selection [PDF]
, 2020 We study a free boundary problem for a parabolic partial differential equation in which the solution is coupled to the moving boundary through an integral constraint.
J. Berestycki +3 more
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A free boundary problem for spreading under shifting climate [PDF]
Journal of Differential Equations, 2019 In this paper we consider a free boundary problem which models the spreading of an invasive species whose spreading is enhanced by the changing climate. We assume that the climate is shifting with speed c and obtain a complete classification of the long ...
Yuanyang Hu +3 more
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Almost minimizers of the one-phase free boundary problem [PDF]
Communications in Partial Differential Equations, 2019 We consider almost minimizers to the one-phase energy functional and we prove their optimal Lipschitz regularity and partial regularity of their free boundary. These results were recently obtained by David and Toro, and David, Engelstein, and Toro.
Daniela De Silva, O. Savin
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Well-posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics [PDF]
, 2019 We consider the free boundary problem for non-relativistic and relativistic ideal compressible magnetohydrodynamics in two and three spatial dimensions with the total pressure vanishing on the plasma–vacuum interface.
Y. Trakhinin, Tao Wang
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Global existence for a free boundary problem of Fisher–KPP type [PDF]
Nonlinearity, 2018 Motivated by the study of branching particle systems with selection, we establish global existence for the solution of the free boundary problem when the initial condition is non-increasing with as and as .
J. Berestycki, E. Brunet, S. Penington
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Well-posedness of the free boundary problem for incompressible elastodynamics [PDF]
Journal of Differential Equations, 2018 In this paper, we prove the local well-posedness of the free boundary problem in incompressible elastodynamics under a natural stability condition, which ensures that the evolution equation describing the free boundary is strictly hyperbolic.
Xianpeng Hu, Yongting Huang
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A free boundary problem driven by the biharmonic operator [PDF]
Pure and Applied Analysis, 2018 In this paper we consider the minimization of the functional \[ J[u]:=\int_\Omega |\Delta u|^2+\chi_{\{u>0\}} \] in the admissible class of functions \[ \mathcal A:= \left\{u\in W^{2, 2}(\Omega) {\mbox{ s.t.
S. Dipierro +2 more
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Crack Propagation as a Free Boundary Problem [PDF]
Physical Review Letters, 2007 A newly developed sharp interface model describes crack propagation by a phase transition process. We solve this free boundary problem numerically and obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic effects are taken into account.
Müller-Krumbhaar, H. +3 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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