Results 51 to 60 of about 1,316 (127)
Long time asymptotic behavior of the focusing nonlinear Schrödinger equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2018 We study the Cauchy problem for the focusing nonlinear Schrödinger (fNLS) equation. Using the \bar\partial generalization of the nonlinear steepest descent method we compute the long-time asymptotic expansion of the solution \psi (x,t)
Michael Borghese +2 more
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Long time asymptotics for the KPII equation
This version corrects important errors in Proposition 4.2 and updates the statement of the main theorem ...
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Long-time asymptotics for a complex cubic Camassa–Holm equation
Letters in Mathematical PhysicsIn this paper, we investigate the Cauchy problem of the following complex cubic Camassa-Holm (ccCH) equation $$m_{t}=b u_{x}+\frac{1}{2}\left[m\left(|u|^{2}-\left|u_{x}\right|^{2}\right)\right]_{x}-\frac{1}{2} m\left(u \bar{u}_{x}-u_{x} \bar{u}\right), \quad m=u-u_{x x},$$ where $b>0$ is an arbitrary positive real constant.
Zhang, Hongyi +2 more
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Long-time asymptotic expansion for the damped semilinear wave equation
Journal of Mathematical Analysis and Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Long-time asymptotics for the Massive Thirring model
, 2018 We consider the massive Thirring model and establish pointwise long-time behavior of its solutions in weighted Sobolev spaces. For soliton-free initial data we can show that the solution converges to a linear solution modulo a phase correction caused by the cubic nonlinearity.
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Long-time asymptotics of the long-range Emch-Radin model
Open Physics, 2012 Kastner Michael
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Long-Time Asymptotics for Subordinated Fractional Diffusion Equations
We study the long-time behavior of solutions to a class of evolution equations arising from random-time changes driven by subordinators. Our focus is on fractional diffusion equations involving mixed local and nonlocal operators. By combining techniques from probability theory, asymptotic analysis, and partial differential equations (PDEs), we ...
Majdoub, Mohamed, Mliki, Ezzedine
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Long time asymptotics of a degenerate linear kinetic transport equation
Kinetic & Related Models, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Long Time Decay and Asymptotics for the Complex mKdV Equation
SIAM Journal on Mathematical AnalysisWe study the asymptotics of the complex modified Korteweg-de Vries equation $\partial_t u + \partial_x^3 u = -|u|^2 \partial_x u$, which can be used to model vortex filament dynamics. In the real-valued case, it is known that solutions with small, localized initial data exhibit modified scattering for $|x| \geq t^{1/3}$ and behave self-similarly for ...
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Machine learning the dimension of a Fano variety. [PDF]
Nat Commun, 2023 Coates T, Kasprzyk AM, Veneziale S.
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