Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Lenya Ryzhik"'
Publikováno v:
Communications in Mathematical Physics. 384:699-732
We study the asymptotic speed of a random front for solutions $$u_t(x)$$ to stochastic reaction–diffusion equations of the form $$\begin{aligned} \partial _tu=\frac{1}{2}\partial _x^2u+f(u)+\sigma \sqrt{u(1-u)}{\dot{W}}(t,x),~t\ge 0,~x\in {\mathbb
Publikováno v:
Communications in Mathematical Physics. 382:875-949
We consider invariant measures for the stochastic Burgers equation on $\mathbb{R}$, forced by the derivative of a spacetime-homogeneous Gaussian noise that is white in time and smooth in space. An invariant measure is indecomposable, or extremal, if
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 37:51-77
We consider the non-local Fisher-KPP equation modeling a population with individuals competing with each other for resources with a strength related to their distance, and obtain the asymptotics for the position of the invasion front starting from a
Publikováno v:
Ann. Probab. 48, no. 5 (2020), 2290-2322
Annals of Probability
Annals of Probability, Institute of Mathematical Statistics, 2020, 48 (5), pp.2290--2322. ⟨10.1214/20-AOP1423⟩
Annals of Probability
Annals of Probability, Institute of Mathematical Statistics, 2020, 48 (5), pp.2290--2322. ⟨10.1214/20-AOP1423⟩
International audience; We consider the limit of a linear kinetic equation, with reflection-transmission-absorption at an interface, with a degenerate scattering kernel. The equation arise from a microscopic chain of oscillators in contact with a hea
Autor:
Alexander Dunlap, Lenya Ryzhik
We define a notion of a viscous shock solution of the stochastic Burgers equation that connects "top" and "bottom" spatially stationary solutions of the same equation. Such shocks generally travel in space, but we show that they admit time-invariant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8396d31cd027152b4297d0c3d488208b
Publikováno v:
Archive for Rational Mechanics and Analysis
Archive for Rational Mechanics and Analysis, Springer Verlag, 2020, 237, pp.497-543. ⟨10.1007/s00205-020-01513-7⟩
Archives of rational mechanics and analysis
Archives of rational mechanics and analysis, Springer-Verlag, In press, ⟨10.1007/s00205-020-01513-7⟩
Archive for Rational Mechanics and Analysis, Springer Verlag, 2020, 237, pp.497-543. ⟨10.1007/s00205-020-01513-7⟩
Archives of rational mechanics and analysis
Archives of rational mechanics and analysis, Springer-Verlag, In press, ⟨10.1007/s00205-020-01513-7⟩
International audience; We consider an infinite chain of coupled harmonic oscillators with a Langevin thermostat at the origin. In the high frequency limit, we establish the reflection-transmission coefficients for the wave energy for the scattering
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b24cf1803f4ae24a64079ba42af8c664
https://hal.archives-ouvertes.fr/hal-01808994
https://hal.archives-ouvertes.fr/hal-01808994
Lucas and Moll have proposed a system of forward-backward partial differential equations that model knowledge diffusion and economic growth. It arises from a microscopic model of learning for a mean-field type interacting system of individual agents.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fb964067ab38edeebfe9f9db830e45c
Publikováno v:
Journal of Functional Analysis. 274:2113-2138
We prove a representation for the average wave function of the Schrodinger equation with a white noise potential in d = 1 , 2 , in terms of the renormalized self-intersection local time of a Brownian motion.
Publikováno v:
SIAM Journal on Mathematical Analysis. 50:5293-5336
We consider a semilinear advection equation driven by a highly oscillatory space-time Gaussian random field, with the randomness affecting both the drift and the nonlinearity. In the linear setting, classical results show that the characteristics con
Autor:
Yu Gu, Lenya Ryzhik
Publikováno v:
Communications in Mathematical Sciences. 15:359-378
We analyze the weak-coupling limit of the random Schrodinger equation with low frequency initial data and a slowly decorrelating random potential. For the probing signal with a sufficiently long wavelength, we prove a homogenization result, that is,