Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Martina Hofmanová"'
This book contains a first systematic study of compressible fluid flows subject to stochastic forcing. The bulk is the existence of dissipative martingale solutions to the stochastic compressible Navier-Stokes equations. These solutions are weak in t
Publikováno v:
Mathematische Annalen. 384:1127-1155
We study the full Navier–Stokes–Fourier system governing the motion of a general viscous, heat-conducting, and compressible fluid subject to stochastic perturbation. The system is supplemented with non-homogeneous Neumann boundary conditions for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::100bc8bdaec33cc9bd84ff243b6d59b4
https://doi.org/10.1007/s00208-021-02300-9
https://doi.org/10.1007/s00208-021-02300-9
Publikováno v:
IMA Journal of Numerical Analysis. 40:2143-2162
We consider the nonlinear Schrödinger equation with dispersion modulated by a (formal) derivative of a time-dependent function with fractional Sobolev regularity of class $W^{\alpha ,2}$ for some $\alpha \in (0,1)$. Due to the loss of smoothness in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c9977a6ab2a9d888e66da57d3d4dbe5
https://doi.org/10.1093/imanum/drz050
https://doi.org/10.1093/imanum/drz050
Publikováno v:
Archive for Rational Mechanics and Analysis. 235:167-194
It is nowadays well understood that the multidimensional isentropic Euler system is desperately ill--posed. Even certain smooth initial data give rise to infinitely many solutions and all available selection criteria fail to ensure both global existe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51c9d628820bb2571df77afeda46d23d
https://doi.org/10.1007/s00205-019-01420-6
https://doi.org/10.1007/s00205-019-01420-6
Publikováno v:
Communications in Mathematical Physics. 368:1201-1266
We prove the existence of global solutions to singular SPDEs on $${\mathbb{R}^{\rm d}}$$ with cubic nonlinearities and additive white noise perturbation, both in the elliptic setting in dimensions d = 4, 5 and in the parabolic setting for d = 2, 3. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a508f6bc081a82048b6ef9efb9585e1b
https://doi.org/10.1007/s00220-019-03398-4
https://doi.org/10.1007/s00220-019-03398-4
We consider systems of stochastic evolutionary equations of p-Laplace type. We establish convergence rates for a finite-element-based space-time approximation, where the error is measured in a suitable quasi-norm. Under natural regularity assumptions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f84ac4ce265322f8ecf050094e2d1728
https://pub.uni-bielefeld.de/record/2957745
https://pub.uni-bielefeld.de/record/2957745
Publikováno v:
Physica D: Nonlinear Phenomena
Physica D: Nonlinear Phenomena, Elsevier, In press
Physica D Nonlinear Phenomena
Physica D: Nonlinear Phenomena, Elsevier, In press
Physica D Nonlinear Phenomena
The ergodic hypothesis is examined for energetically open fluid systems represented by the barotropic Navier-Stokes equations with general inflow/outflow boundary conditions. We show that any globally bounded trajectory generates a stationary statist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59cf8da6e9c7cef8b9b51e768bb44f6a
https://hal.archives-ouvertes.fr/hal-02756305/document
https://hal.archives-ouvertes.fr/hal-02756305/document
We establish global-in-time existence and non-uniqueness of probabilistically strong solutions to the three dimensional Navier--Stokes system driven by space-time white noise. In this setting, solutions are expected to have space regularity at most $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69014b4097b98af7c9d429cb8c5bd680
We present a new construction of the Euclidean $$\Phi ^4$$ Φ 4 quantum field theory on $${\mathbb {R}}^3$$ R 3 based on PDE arguments. More precisely, we consider an approximation of the stochastic quantization equation on $${\mathbb {R}}^3$$ R 3 de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd6cee7d50b5ee5efe532892fb42335d
https://doi.org/10.1007/s00220-021-04022-0
https://doi.org/10.1007/s00220-021-04022-0
Publikováno v:
Communications on Pure and Applied Mathematics
We are concerned with the question of well-posedness of stochastic, three-dimensional, incompressible Euler equations. In particular, we introduce a novel class of dissipative solutions and show that (i) existence; (ii) weak-strong uniqueness; (iii)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aeb57b3953cf6fe8b6e6e0590935b8f4