168 citations · 436 across the 32 of their papers we have counts for
6 papers · 1 filter
The scaling limit of the KPZ equation in space dimension 3 and higher
Jacques Magnen, Jérémie Unterberger
We study in the present article the Kardar-Parisi-Zhang (KPZ) equation $$ \partial_t h(t,x)=νΔh(t,x)+λ|\nabla h(t,x)|^2 +\sqrt{D}\, η(t,x), \qquad (t,x)\in\mathbb{R}_+\times\mathbb…
Global existence and smoothness for solutions of viscous Burgers equation. (2) The unbounded case: a characteristic flow study
Jeremie Unterberger
We show that the homogeneous viscous Burgers equation has a globally de…
Global existence for strong solutions of viscous Burgers equation. (1) The bounded case
Jeremie Unterberger
We prove that the viscous Burgers equation has a globally defined smooth solution in all dimensions provided the initial condition and the forcing term are smooth and bounded toget…
Generalized PDE estimates for KPZ equations through Hamilton-Jacobi-Bellman formalism
J. Unterberger
We study in this series of articles the Kardar-Parisi-Zhang (KPZ) equation in $d\…
PDE estimates for multi-dimensional KPZ equation
Jeremie Unterberger
We study in this series of articles the Kardar-Parisi-Zhang (KPZ) equation in $d\…
On the dynamical symmetric algebra of ageing: Lie structure, representations and Appell systems
Malte Henkel, Rene Schott, Stoimen Stoimenov +1
The study of ageing phenomena leads to the investigation of a maximal parabolic subalgebra of conf_3 which we call alt. We investigate its Lie structure, prove some results concern…