Results 31 to 40 of about 1,316 (127)
Long Time Asymptotics of the Korteweg-de Vries Equation [PDF]
Transactions of the American Mathematical Society, 1986 We study the long time evolution of the solution to the Kortewegde Vries equation with initial data υ ( x ) \upsilon (x) which satisfy \[ lim x → − ∞ υ ( x ) = − 1 ,
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Asymptotics of liquid velocity to the problem of fluid outflow from a rectangular duct
AIP AdvancesWe have constructed and analyzed the first-order asymptotics of liquid velocity for the two-dimensional steady problem of energy-conserving fluid outflow from a rectangular duct. These asymptotics are constructed using the first-order asymptotics for the
Vladimir V. Ostapenko
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Height fluctuations in homoepitaxial thin film growth: A numerical study
Physical Review Research, 2020 We report on the investigation of height distributions (HDs) and spatial covariances of two-dimensional surfaces obtained from extensive numerical simulations of the celebrated Clarke-Vvedensky (CV) model for homoepitaxial thin film growth. In this model,
I. S. S. Carrasco, T. J. Oliveira
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Long-time asymptotics of stochastic reaction systems
, 2019 We study the stochastic dynamics of a system of interacting species in a stochastic environment by means of a continuous-time Markov chain with transition rates depending on the state of the environment. Models of gene regulation in systems biology take this form.
Cappelletti, Daniele +2 more
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Long time asymptotics of mixed-type Kimura diffusions
, 2022 This paper concerns the long-time asymptotics of diffusions with degenerate coefficients at the domain's boundary. Degenerate diffusion operators with mixed linear and quadratic degeneracies find applications in the analysis of asymmetric transport at edges separating topological insulators.
Bal, Guillaume +2 more
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On the long-time asymptotics of the modified Camassa–Holm equation with step-like initial data
European Journal of Applied MathematicsWe study the long-time asymptotics for the solution of the modified Camassa–Holm (mCH) equation with step-like initial data. \begin{align*} &m_{t}+\left (m\left (u^{2}-u_{x}^{2}\right )\right )_{x}=0, \quad m=u-u_{xx}, \\[3pt] & {u(x,0)=u_0(x)\to ...
Engui Fan, Gaozhan Li, Yiling Yang
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Long-Time Asymptotics of the Sliced-Wasserstein Flow
SIAM Journal on Imaging SciencesThe sliced-Wasserstein flow is an evolution equation where a probability density evolves in time, advected by a velocity field computed as the average among directions in the unit sphere of the optimal transport displacements from its 1D projections to the projections of a fixed target measure.
Giacomo Cozzi, Filippo Santambrogio
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Long-time asymptotics for the damped Boussinesq equation in a disk
Electronic Journal of Differential Equations, 2000 For the damped Boussinesq equation the first initial-boundary value problem is considered in a unit disk. Its strong solution is constructed in the form of a series in the small parameter present in the initial conditions.
Vladimir Varlamov
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A finite-volume scheme for fractional diffusion on bounded domains
European Journal of Applied MathematicsWe propose a new fractional Laplacian for bounded domains, expressed as a conservation law and thus particularly suited to finite-volume schemes. Our approach permits the direct prescription of no-flux boundary conditions.
Rafael Bailo +3 more
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Fermi–Dirac–Fokker–Planck equation: Well-posedness & long-time asymptotics
Journal of Differential Equations, 2009 A Fokker-Planck type equation for interacting particles with exclusion principle is analysed. The nonlinear drift gives rise to mathematical difficulties in controlling moments of the distribution function. Assuming enough initial moments are finite, we can show the global existence of weak solutions for this problem.
Carrillo, José A. +2 more
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