AbstractWe consider a multidimensional Burgers equation on the torus Td and the whole space Rd. We show that, in case of the torus, there exists a unique global solution in Lebesgue spaces. For a torus we also provide estimates on the large time behaviour of solutions. In the case of Rd we establish the existence of a unique global solution if a Beale–Kato–Majda type condition is satisfied. To prove these results we use the probabilistic arguments which seem to be new
The Cauchy problem for a scalar conservation laws admits a unique entropy solution when the data u 0...
International audienceThe inviscid Burgers equation with random and spatially smooth forcing is cons...
International audienceThe inviscid Burgers equation with random and spatially smooth forcing is cons...
AbstractWe consider a multidimensional Burgers equation on the torus Td and the whole space Rd. We s...
We have shown in a recent collaboration that the Cauchy problem for the multi-dimensional Burgers eq...
AbstractThe paper studies local and global in time solutions to a class of multidimensional generali...
AbstractIn this paper we study the generalized Burgers equation ut+(u2/2)x=f(t)uxx, where f(t)>0 for...
AbstractWe obtain the global existence and uniqueness for a generalized Burger's equation with visco...
We consider Burgers equation on the whole x-t plane. We require the solution to be classical everyw...
By utilising the so-called Doss-Sussman transformation, we link our stochastic 3D Burgers equation w...
We prove that the viscous Burgers equation (∂t−∆)u(t, x)+( u •∇)u(t, x) = g(t, x), (t, x) ∈ R+ × Rd ...
This paper is concerned with the existence and stability analysis of the generalized Burgers equatio...
The Cauchy problem for a scalar conservation laws admits a unique entropy solution when the data u 0...
This paper is devoted to the problem of existence of global solutions of the time-fractional Burgers...
AbstractThis paper is concerned with the existence and stability analysis of the generalized Burgers...
The Cauchy problem for a scalar conservation laws admits a unique entropy solution when the data u 0...
International audienceThe inviscid Burgers equation with random and spatially smooth forcing is cons...
International audienceThe inviscid Burgers equation with random and spatially smooth forcing is cons...
AbstractWe consider a multidimensional Burgers equation on the torus Td and the whole space Rd. We s...
We have shown in a recent collaboration that the Cauchy problem for the multi-dimensional Burgers eq...
AbstractThe paper studies local and global in time solutions to a class of multidimensional generali...
AbstractIn this paper we study the generalized Burgers equation ut+(u2/2)x=f(t)uxx, where f(t)>0 for...
AbstractWe obtain the global existence and uniqueness for a generalized Burger's equation with visco...
We consider Burgers equation on the whole x-t plane. We require the solution to be classical everyw...
By utilising the so-called Doss-Sussman transformation, we link our stochastic 3D Burgers equation w...
We prove that the viscous Burgers equation (∂t−∆)u(t, x)+( u •∇)u(t, x) = g(t, x), (t, x) ∈ R+ × Rd ...
This paper is concerned with the existence and stability analysis of the generalized Burgers equatio...
The Cauchy problem for a scalar conservation laws admits a unique entropy solution when the data u 0...
This paper is devoted to the problem of existence of global solutions of the time-fractional Burgers...
AbstractThis paper is concerned with the existence and stability analysis of the generalized Burgers...
The Cauchy problem for a scalar conservation laws admits a unique entropy solution when the data u 0...
International audienceThe inviscid Burgers equation with random and spatially smooth forcing is cons...
International audienceThe inviscid Burgers equation with random and spatially smooth forcing is cons...
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