Results 41 to 50 of about 1,422,735 (373)
, 2017 We show local existence and uniqueness of plasma(fluid)-vaccum free boundary problem of magnetohydrodynamic flow in three-dimensional space with infinite depth setting when magnetic field is zero on the free boundary.
Lee, Donghyun
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Mixed Initial-Boundary Value Problem for the Capillary Wave Equation
Advances in Mathematical Physics, 2016 We study the mixed initial-boundary value problem for the capillary wave equation: iut+u2u=∂x3/2u, t>0, x>0; u(x,0)=u0(x), x>0; u(0,t)+βux(0,t)=h(t), t>0, where ∂x3/2u=(1/2π)∫0∞signx-y/x-yuyy(y) dy.
B. Juarez Campos +2 more
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A new type of shooting method for nonlinear boundary value problems
Alexandria Engineering Journal, 2013 In this article we introduce a new type of iterative method for initial value problems (IVPs). We enhance this method by using shooting techniques and interpolation for the boundary value problems. Our method is more accurate and applicable than built in
Muhammad Ahsan, Sarah Farrukh
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Stability Estimates for an Inverse Hyperbolic Initial Boundary Value Problem with Unknown Boundaries [PDF]
SIAM Journal on Mathematical Analysis, 2014 In this paper we prove stability estimates of logarithmic type for an inverse problem consisting in the determination of unknown portions of the boundary of a domain in $\mathbb{R}^n$, from a knowledge, in a finite time observation, of overdetermined ...
S. Vessella
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A Two-Dimensional Nonlocal Fractional Parabolic Initial Boundary Value Problem
AxiomsIn this paper, we investigate a two-dimensional singular fractional-order parabolic partial differential equation in the Caputo sense. The partial differential equation is supplemented with Dirichlet and weighted integral boundary conditions.
Said Mesloub +2 more
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The initial boundary value problem of a mixed-typed hemivariational inequality
International Journal of Mathematics and Mathematical Sciences, 2001 A mixed-typed differential inclusion with a weakly continuous nonlinear term and a nonmonotone discontinuous nonlinear multi-valued term is studied, and the existence and decay of solutions are established.
Guo Xingming
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Initial-boundary value problem for the two-component nonlinear Schrödinger equation on the half-line
Journal of Nonlinear Mathematical Physics, 2016 We present a 3×3 Riemann-Hilbert problem formalism for the initial-boundary value problem of the two-component nonlinear Schrödinger (2-NLS) equation on the half-line.
Jian Xu
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Initial-boundary value problems for the defocusing nonlinear Schr\"odinger equation in the semiclassical limit [PDF]
, 2014 Initial-boundary value problems for integrable nonlinear partial differential equations have become tractable in recent years due to the development of so-called unified transform techniques.
Miller, Peter D., Qin, Zhenyun
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Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
FEBS Letters, EarlyView.Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan +2 more
wiley +1 more source
Degenerate parabolic initial-boundary value problems
Journal of Differential Equations, 1979 in Hilbert space and their realizations in function spaces as initial-boundary value problems for partial differential equations which may contain degenerate or singular coefficients. The Cauchy problem consists of solving (1.1) subject to the initial condition Jdu(0) = h.
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