The Quasistationary Phase Field Equations with Neumann Boundary Conditions
The paper considers the quasistationary phase field equations \[ \partial_t(u+ \varphi)- \Delta u= f\quad\text{in }\Omega\times ]0,T[, \] \[ \partial_\nu u= 0\quad\text{on }\partial\Omega\times ]0, T[, \] \[ (u+\varphi)(0)= w_0, \] and \[ -2\varepsilon\Delta\varphi+ {1\over\varepsilon} W'(\varphi)= u\quad\text{in }\Omega\times ]0, T[, \] \[ \partial_ ...
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Solvability of some Neumann-type boundary value problems for biharmonic equations
We study some boundary-value problems for inhomogeneous biharmonic equation with periodic boundary conditions. These problems are generalization to periodic data of the Neumann-type boundary-value problems considered before by the authors.
Valery Karachik, Batirkhan Kh. Turmetov
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Eigenfunctions for rectangles with Neumann boundary conditions
Consider the eigenfunctions $u$ for a ree rectangular membrane wo that $- u= u$ on $\mathcal R(c,d)=(0,d)\times(0,d)$. In this note we show that if if $u>0$ on $\partial \mathcal R(c,d)) then $u\equiv C$ for some positive constant.
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Interface evolution with Neumann boundary condition
Summary: We prove a comparison theorem for viscosity solutions of singular degenerate parabolic equations with Neumann boundary condition in a convex bounded domain. We also construct viscosity solutions for the Neumann problem in not necessarily convex domain. We apply our theorem to construct a global generalized evolution for interface equation with
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This article studies the numerical solution of inverse problems for the multidimensional elliptic equation with Dirichlet-Neumann boundary conditions and Neumann type overdetermination.
Charyyar Ashyralyyev, Yasar Akkan
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Degenerate Fourth Order Parabolic Equations with Neumann Boundary Conditions
We study the generation property for a fourth order operator in divergence or in non divergence form with suitable Neumann boundary conditions. As a consequence we obtain the well posedness for the parabolic equations governed by these operators. The novelty of this paper is that the operators depend on a function $a: [0,1] \rightarrow \R_+$ that ...
Camasta, Alessandro, Fragnelli, Genni
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Gaussian Versus Mean-Field Models: Contradictory Predictions for the Casimir Force Under Dirichlet-Neumann Boundary Conditions. [PDF]
Dantchev D, Vassilev V, Rudnick J.
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Optimal error estimates of the diffuse domain method for second order parabolic equations. [PDF]
Hao W, Ju L, Xu Y.
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A fourth-order exponential time differencing scheme with real and distinct poles rational approximation for solving non-linear reaction-diffusion systems. [PDF]
Attipoe WK +2 more
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Impedance-Controlled Molecular Transport Across Multilayer Skin Membranes. [PDF]
Galovic S, Radenkovic MC, Suljovrujic E.
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