Results 211 to 220 of about 64,698 (263)
Gradient-Driven Physics Informed Neural Networks for Conduction Heat Transfer and Incompressible Laminar Flow. [PDF]
J Comput Nonlinear DynLu T +5 more
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Phase-Field Damage Modeling of Electromechanical Fracture in MEMS Piezoelectric Films. [PDF]
Materials (Basel)Chen X, Zhang Y, Xue Y, Shi Y, Cheng J.
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Mathematical Methods in the Applied Sciences, 1996
Summary: This paper considers a discontinuous semilinear elliptic problem: \[ - \Delta u= g(u)H(u-\mu) \quad \text{in } \Omega, \qquad u=h \text{ on } \partial \Omega, \] where \(H\) is the Heaviside function, \(\mu\) a real parameter and \(\Omega\) the unit ball in \(\mathbb{R}^2\). We deal with the existence of solutions under suitable conditions on \
Boucherif, Abdelkader +1 more
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Summary: This paper considers a discontinuous semilinear elliptic problem: \[ - \Delta u= g(u)H(u-\mu) \quad \text{in } \Omega, \qquad u=h \text{ on } \partial \Omega, \] where \(H\) is the Heaviside function, \(\mu\) a real parameter and \(\Omega\) the unit ball in \(\mathbb{R}^2\). We deal with the existence of solutions under suitable conditions on \
Boucherif, Abdelkader +1 more
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SIAM Journal on Mathematical Analysis, 1974
Let $\mathcal{D}$ be a doubly connected region in the complex plane limited by the infinite point and a convex set $\Gamma $. If $\lambda > 0$, then we study the existence, uniqueness and geometry of annuli $\omega \subset \mathcal{D}$ having $\Gamma $ as one boundary component and another boundary component $\gamma $, such that there exists a harmonic
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Let $\mathcal{D}$ be a doubly connected region in the complex plane limited by the infinite point and a convex set $\Gamma $. If $\lambda > 0$, then we study the existence, uniqueness and geometry of annuli $\omega \subset \mathcal{D}$ having $\Gamma $ as one boundary component and another boundary component $\gamma $, such that there exists a harmonic
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Free Boundary Problem of Magnetohydrodynamics
Journal of Mathematical Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Free Boundary Optimization Problem
SIAM Journal on Mathematical Analysis, 1978Given a convex set $Q \subset R^2 $ (bounded by a simple closed curve) and a constant $A > 0$, we determine the doubly-connected region $\Omega $ encircling (but not intersecting) Q, with area $| \Omega | \leqq A$, which has the least capacitance.
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2013
As we know, a problem of pricing an American-style derivative can be formulated as a linear complementarity problem, and for most cases, it can also be written as a free-boundary problem. In Chap. 8, we have discussed how to solve a linear complementarity problem. Here, we study how to solve a free-boundary problem numerically. Many derivative security
You-lan Zhu +3 more
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As we know, a problem of pricing an American-style derivative can be formulated as a linear complementarity problem, and for most cases, it can also be written as a free-boundary problem. In Chap. 8, we have discussed how to solve a linear complementarity problem. Here, we study how to solve a free-boundary problem numerically. Many derivative security
You-lan Zhu +3 more
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2017
Obstacle and contact problems leading to variational inequalities as well as models for porous media are studied. A main theme is phase transitions appearing in the context of solidification processes. Finally, also free boundary problems in fluid dynamics are considered.
Christof Eck +2 more
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Obstacle and contact problems leading to variational inequalities as well as models for porous media are studied. A main theme is phase transitions appearing in the context of solidification processes. Finally, also free boundary problems in fluid dynamics are considered.
Christof Eck +2 more
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Izvestiya: Mathematics, 2002
This paper deals with the regularity properties of solutions for the double nonlinear parabolic equation \[ u_t-D\left(u^{p_0}Du+| Du| ^{p_1}Du \right)=f(x,t). \tag{1} \] A Stefan-like problem for the one-dimensional analogue of equation (1) is also considered.
Soltanov, K. N., Novruzov, E. B.
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This paper deals with the regularity properties of solutions for the double nonlinear parabolic equation \[ u_t-D\left(u^{p_0}Du+| Du| ^{p_1}Du \right)=f(x,t). \tag{1} \] A Stefan-like problem for the one-dimensional analogue of equation (1) is also considered.
Soltanov, K. N., Novruzov, E. B.
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1983
One example of a flow with a free boundary is that of a jet of fluid travelling through a region of constant pressure. There are two typical situations which are shown in Figure. The first is a jet impinging on a fixed wall and the second is a jet emerging from a hole in the wall of a large reservoir.
Hilary Ockendon, Alan B. Tayler
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One example of a flow with a free boundary is that of a jet of fluid travelling through a region of constant pressure. There are two typical situations which are shown in Figure. The first is a jet impinging on a fixed wall and the second is a jet emerging from a hole in the wall of a large reservoir.
Hilary Ockendon, Alan B. Tayler
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