Results 11 to 20 of about 9,988,559 (299)
Open Mathematics, 2015 We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained.
Semerdjieva Rossitza
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One dimensional parabolic free boundary problems [PDF]
, 1975 The method of lines is used to approximate explicit and implicit free boundary problems for a linear one dimensional diffusion equation with a sequence of free boundary problems for ordinary differential equations.
Meyer, G H
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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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Free boundary value problem for compressible magnetohydrodynamic equations
Electronic Journal of Differential Equations, 2020 In this article we consider a free boundary value problem for barotropic compressible magnetohydrodynamic equations with density-dependent viscosity coefficients.
Huihui Kong, Ruxu Lian
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A Nonlocal Free Boundary Problem [PDF]
SIAM Journal on Mathematical Analysis, 2015 Given~$s,σ\in(0,1)$ and a bounded domain~$Ω\subset\R^n$, we consider the following minimization problem of $s$-Dirichlet plus $σ$-perimeter type $$ [u]_{ H^s(\R^{2n}\setminus(Ω^c)^2) } + \Per_σ\left(\{u>0\},Ω\right), $$ where~$[ \cdot]_{H^s}$ is the fractional Gagliardo seminorm and $\Per_σ$ is the fractional perimeter. Among other results, we prove
S. Dipierro, O. Savin, E. Valdinoci
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ON BERNOULLI'S FREE BOUNDARY PROBLEM WITH A RANDOM BOUNDARY [PDF]
International Journal for Uncertainty Quantification, 2017 This article is dedicated to the solution of Bernoulli’s exterior free boundary problem in the situation of a random interior boundary. We provide the theoretical background that ensures the well-posedness of the problem under consideration and describe two different frameworks to define the expectation and the deviation of the resulting annular domain.
Dambrine, Marc +3 more
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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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Free boundaries in problems with hysteresis [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015 Here, we present a survey concerning parabolic free boundary problems involving a discontinuous hysteresis operator. Such problems describe biological and chemical processes ‘with memory’ in which various substances interact according to hysteresis law.
D. E. Apushkinskaya, N. N. Uraltseva
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