We show global well-posedness of the dynamic Φ4 model in the plane. The model is a non-linear stochastic PDE that can only be interpreted in a “renormalised” sense. Solutions take values in suitable weighted Besov spaces of negative regularity
This article analyzes well-definedness and regularity of renormalized powers of Ornstein-Uhlenbeck p...
International audienceWe show that the initial value problem associated to the dispersive generalize...
Flandoli F, Hofmanová M, Luo D, Nilssen T. Global well-posedness of the 3D Navier–Stokes equations ...
We prove global in time well-posedness for perturbations of the 2D stochastic Navier-Stokes equation...
We consider the nonlinear Schr\"odinger equation with multiplicative spatial white noise and an arbi...
A stochastic PDE, describing mesoscopic fluctuations in systems of weakly interacting inertial parti...
This thesis contributes towards the well-posedness theory of stochastic dispersive partial different...
Thanks to an approach inspired from Burq-Lebeau \cite{bule}, we prove stochastic versions of Stricha...
We consider stochastic versions of Euler--Arnold equations using the infinite-dimensional geometric ...
This paper is a continuation of Part I of this project, where we developed a new local well-posednes...
We extend the convergence method introduced in our works [8]-[10] for almost sure global well-posedn...
AbstractWe study the generalized Benjamin–Ono equation ∂tu+H∂2xu+uk∂xu=0, k⩾2. In the context of sma...
We prove global well-posedness of the subcritical generalized Korteweg-de Vries equation (the mKdV a...
This thesis contributes towards the maximal-in-time well-posedness theory of three nonlinear dispers...
In this thesis, we study well-posedness of nonlinear dispersive partial differential equations (PDE...
This article analyzes well-definedness and regularity of renormalized powers of Ornstein-Uhlenbeck p...
International audienceWe show that the initial value problem associated to the dispersive generalize...
Flandoli F, Hofmanová M, Luo D, Nilssen T. Global well-posedness of the 3D Navier–Stokes equations ...
We prove global in time well-posedness for perturbations of the 2D stochastic Navier-Stokes equation...
We consider the nonlinear Schr\"odinger equation with multiplicative spatial white noise and an arbi...
A stochastic PDE, describing mesoscopic fluctuations in systems of weakly interacting inertial parti...
This thesis contributes towards the well-posedness theory of stochastic dispersive partial different...
Thanks to an approach inspired from Burq-Lebeau \cite{bule}, we prove stochastic versions of Stricha...
We consider stochastic versions of Euler--Arnold equations using the infinite-dimensional geometric ...
This paper is a continuation of Part I of this project, where we developed a new local well-posednes...
We extend the convergence method introduced in our works [8]-[10] for almost sure global well-posedn...
AbstractWe study the generalized Benjamin–Ono equation ∂tu+H∂2xu+uk∂xu=0, k⩾2. In the context of sma...
We prove global well-posedness of the subcritical generalized Korteweg-de Vries equation (the mKdV a...
This thesis contributes towards the maximal-in-time well-posedness theory of three nonlinear dispers...
In this thesis, we study well-posedness of nonlinear dispersive partial differential equations (PDE...
This article analyzes well-definedness and regularity of renormalized powers of Ornstein-Uhlenbeck p...
International audienceWe show that the initial value problem associated to the dispersive generalize...
Flandoli F, Hofmanová M, Luo D, Nilssen T. Global well-posedness of the 3D Navier–Stokes equations ...
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