[PDF] Top 20 The Stochastic Heat Equation with a Fractional-Colored Noise: Existence of the Solution
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The Stochastic Heat Equation with a Fractional-Colored Noise: Existence of the Solution
... the solution exists if and only if H > 1/4. The case of the same equation driven by a fractional-white noise with space variable in R d has been ... Voir le document complet
29
On the law of the solution to a stochastic heat equation with fractional noise in time
... Keywords: Stochastic heat equation, Gaussian noise, bifractional Brownian ...Introduction The purpose of this note is to make some remarks on the law of the ... Voir le document complet
12
Ito formulae for the stochastic heat equation via the theories of rough paths and regularity structures
... develop a general theory to prove the existence of several Itˆ o formulae on the one-dimensional stochastic heat equation driven by additive space-time white ...u ... Voir le document complet
173
Existence and regularity of solution for a Stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion
... As a first step for a rigorous mathematical analysis of the stochastic model, in Section 2, we will prove existence and uniqueness of a solution to ...when ... Voir le document complet
23
On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact riemannian manifold
... the non linear term f . Note that this extends both the previous results of de Bouard and Debussche [17] who imposed ˜ g = 1 and some more smoothness on the noise, and also the ... Voir le document complet
39
Stochastic Heat Equation with Multiplicative Fractional-Colored Noise
... whose solution is interpreted in the mild sense. The noise ˙ W is fractional in time (with Hurst index H ≥ 1/2), and colored in space (with spatial covariance ... Voir le document complet
38
Noise-induced reentrant transition of the stochastic Duffing oscillator of the stochastic Duffing oscillator
... Marcq: Noise-induced reentrant transition of the stochastic Duffing oscillator changes sign from negative to positive ...considered the case µ < 0 and showed that for strong enough ... Voir le document complet
5
Revisiting Fortet's proof of existence of a solution to the Schrödinger system
... continuous with continuous densities. Motivation. The recent paper [ 3 ] by Essid and Pavon offers a rewriting in English of Fortet’s French-written article [ 4 ], with X = Y = R n ... Voir le document complet
20
Rate of convergence of a stochastic particle method for the Kolmogorov equation with variable coefficients
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet
54
Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP
... prevents the use of the methods of [ 1 ], and in many cases they do not have the structure of a semilinear SPDE, which means that the pathwise approach of [ ... Voir le document complet
72
Influence of the noise spectrum on the anomalous diffusion in a stochastic system
... In a series of recent works [17, 18, 19, 20], we studied the long time behaviour of the nonlinear oscillator subject to parametric ...in the absence of dissipation, ... Voir le document complet
13
Existence of quasipatterns solutions of the Swift-Hohenberg equation
... 0 of the inverse of Λ ǫ of order 1/λ for nonzero ...use a variant of the implicit function theorem to conclude to the existence of quasipatterns ...If ... Voir le document complet
28
Spectral discretization of the Navier-Stokes problem coupled with the heat equation
... l’´ equation de la chaleur l` a o` u la viscosit´ e d´ epend de la temp´ erature, avec des conditions aux limites portant sur la vitesse et la temp´ ... Voir le document complet
26
Computing transition rates for the 1-D stochastic Ginzburg–Landau–Allen–Cahn equation for finite-amplitude noise with a rare event algorithm
... than the classical versions and can in principle be applied to systems with a large number of degrees of ...fact, the main constraint is to work with Markovian systems. ... Voir le document complet
32
Asymptotics of the solutions of the stochastic lattice wave equation
... essentially the time integral of scattered energy | ˆ ψ (ǫ) (t, k) | 2 ...that the expectation of the energy converges to the solution of ...probability. The ... Voir le document complet
31
Fractional diffusion limit for a kinetic equation with an interface
... in the limit. A kinetic problem with similar conditions at the interface appears as the macroscopic limit of a system of oscillators driven by a random ... Voir le document complet
38
On the General Solution of the Basic Equation of Thermal Conduction
... For the publisher’s version, please access the DOI link ...use of this website and the material on it are subject to the Terms and Conditions set forth ... Voir le document complet
16
Determining the potential in a wave equation without a geometric condition. Extension to the heat equation
... . The proof of Theorem 1.1 we present here follows the method initiated by the first and second authors in ...on a spectral decomposition combined with an observability ...to ... Voir le document complet
11
Existence of Positive Solutions For Nonlinear Fractional Problem On The Half Line
... Problems of Nonlinear Fractional Differential Equations with P-Laplacian, Far East Journal of Applied Mathematics 37 2009, ...J., The existence of of positive ... Voir le document complet
12
Fractional diffusion limit for a kinetic equation with an interface *
... in the limit. A kinetic problem with similar conditions at the interface appears as the macroscopic limit of a system of oscillators driven by a random ... Voir le document complet
39
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