| Publication | Date of Publication | Type |
|---|
| On Two-Dimensional Harmonic Extensions of Vector Fields and Stellarator Coils | 2023-10-17 | Paper |
| Simultaneous approximation in Lebesgue and Sobolev norms via eigenspaces | 2023-09-20 | Paper |
| Estimates for the heat flow in optimal spaces of unbounded initial data in \(\mathbb{R}^d\) and applications to the Ornstein-Uhlenbeck semigroup | 2023-02-17 | Paper |
| Finite-dimensional negatively invariant subsets of Banach spaces | 2022-02-14 | Paper |
| Using periodic boundary conditions to approximate the Navier–Stokes equations on R3 and the transfer of regularity | 2021-10-20 | Paper |
| Explicit characterisation of the fractional power spaces of the Dirichlet Laplacian and Stokes operators | 2021-08-06 | Paper |
| The Navier–Stokes regularity problem | 2021-06-20 | Paper |
| Robustness of regularity for the 3D convective Brinkman-Forchheimer equations | 2021-04-03 | Paper |
| The heat flow in an optimal Fréchet space of unbounded initial data in \(\mathbb{R}^d\) | 2020-09-18 | Paper |
| Some comments on Laakso graphs and sets of differences | 2020-08-03 | Paper |
| Partial Regularity for the 3D Navier–Stokes Equations | 2020-07-01 | Paper |
| Forwards dynamics of non-autonomous dynamical systems: driving semigroups without backwards uniqueness and structure of the attractor | 2020-04-29 | Paper |
| Limits of the Stokes and Navier–Stokes equations in a punctured periodic domain | 2020-03-10 | Paper |
| An Introduction to Functional Analysis | 2019-12-17 | Paper |
| On the Assouad dimension of differences of self-similar fractals | 2019-10-04 | Paper |
| Embedding properties of sets with finite box-counting dimension | 2019-08-23 | Paper |
| Energy conservation for the Euler equations on T 2 × R + for weak solutions defined without reference to the pressure | 2019-05-02 | Paper |
| Partial Regularity for a Surface Growth Model | 2019-02-06 | Paper |
| Energy conservation in the 3D Euler equations on T2 × R+ | 2019-01-10 | Paper |
| Optimal existence classes and nonlinear-like dynamics in the linear heat equation in \(\mathbb{R}^d\) | 2018-08-01 | Paper |
| Some results in support of the Kakeya conjecture | 2018-05-18 | Paper |
| A simple example concerning the upper box-counting dimension of a Cartesian product | 2018-03-09 | Paper |
| Continuity of pullback and uniform attractors | 2018-01-19 | Paper |
| Generalised Cantor sets and the dimension of products | 2017-09-28 | Paper |
| Energy equality for the 3D critical convective Brinkman-Forchheimer equations | 2017-09-28 | Paper |
| Well-posedness for the diffusive 3D Burgers equations with initial data in $H^{1/2}$ | 2017-04-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2973937 | 2017-04-05 | Paper |
| An Eulerian-Lagrangian form for the Euler equations in Sobolev spaces | 2017-04-03 | Paper |
| A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations | 2017-02-27 | Paper |
| Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces | 2017-02-24 | Paper |
| A complete characterisation of local existence for semilinear heat equations in Lebesgue spaces | 2016-11-17 | Paper |
| The Three-Dimensional Navier–Stokes Equations | 2016-08-16 | Paper |
| Lower Bounds on Blowing-Up Solutions of the Three-Dimensional Navier--Stokes Equations in $\dot H^{3/2}$, $\dot H^{5/2}$, and $\dot B^{5/2}_{2,1}$ | 2016-06-22 | Paper |
| On finite-dimensional global attractors of homeomorphisms | 2016-06-10 | Paper |
| Supersolutions for a class of semilinear heat equations | 2016-04-07 | Paper |
| Non-autonomous dynamical systems | 2016-03-10 | Paper |
| Local existence for the non-resistive MHD equations in Besov spaces | 2015-11-09 | Paper |
| On the continuity of global attractors | 2015-09-08 | Paper |
| Non-existence of local solutions for semilinear heat equations of Osgood type | 2015-06-17 | Paper |
| Rigorous numerical verification of uniqueness and smoothness in a surface growth model | 2015-05-22 | Paper |
| A weak-\(L^p\) Prodi-Serrin type regularity criterion for the Navier-Stokes equations | 2015-02-25 | Paper |
| On the Assouad dimension of self-similar sets with overlaps | 2015-02-13 | Paper |
| Invariant measures for non-autonomous dissipative dynamical systems | 2014-12-02 | Paper |
| Log-Lipschitz continuity of the vector field on the attractor of certain parabolic equations | 2014-11-12 | Paper |
| Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation | 2014-10-31 | Paper |
| Equi-homogeneity, Assouad Dimension and Non-autonomous Dynamics | 2014-09-16 | Paper |
| Non-existence of local solutions of semilinear heat equations of Osgood type in bounded domains | 2014-09-04 | Paper |
| A local smoothness criterion for solutions of the 3D Navier-Stokes equations | 2014-08-13 | Paper |
| Higher order commutator estimates and local existence for the non-resistive MHD equations and related models | 2014-07-25 | Paper |
| Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations | 2014-05-06 | Paper |
| Minimal periods for ordinary differential equations in strictly convex Banach spaces and explicit bounds for some \(L^p\)-spaces | 2014-03-25 | Paper |
| Log-Lipschitz embeddings of homogeneous sets with sharp logarithmic exponents and slicing products of balls | 2014-03-13 | Paper |
| Minimal periods of semilinear evolution equations with Lipschitz nonlinearity revisited | 2014-01-15 | Paper |
| Lower bounds on blow up solutions of the three-dimensional Navier–Stokes equations in homogeneous Sobolev spaces | 2014-01-14 | Paper |
| Dimension prints and the avoidance of sets for flow solutions of non-autonomous ordinary differential equations | 2014-01-09 | Paper |
| Generalised Gagliardo-Nirenberg inequalities using weak Lebesgue spaces and BMO | 2013-12-06 | Paper |
| Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing | 2013-11-11 | Paper |
| Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation | 2013-08-22 | Paper |
| Gaussian lower bounds on the Dirichlet heat kernel and non-existence of local solutions for semilinear heat equations of Osgood type | 2013-07-25 | Paper |
| Strict inequality in the box-counting dimension product formulas | 2013-05-30 | Paper |
| Solutions of the 3D Navier-Stokes equations for initial data in \(\dot H^{1/2}\): robustness of regularity and numerical verification of regularity for bounded sets of initial data in | 2013-02-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2897743 | 2012-07-16 | Paper |
| Attractors for infinite-dimensional non-autonomous dynamical systems | 2012-07-11 | Paper |
| On the dimension of the singular set of solutions to the Navier-Stokes equations | 2012-02-10 | Paper |
| A note on well-posedness of semilinear reaction-diffusion problem with singular initial data | 2011-10-24 | Paper |
| Embedding of global attractors and their dynamics | 2011-10-17 | Paper |
| The motion of a fluid--rigid disc system at the zero limit of the rigid disc radius | 2011-10-04 | Paper |
| Invariant measures for dissipative systems and generalised Banach limits | 2011-06-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3066835 | 2011-01-12 | Paper |
| Finite-dimensional global attractors in Banach spaces | 2011-01-07 | Paper |
| Lipschitz deviation and embeddings of global attractors | 2010-07-23 | Paper |
| Orthogonal sequences and regularity of embeddings into finite-dimensional spaces | 2010-05-19 | Paper |
| Almost bi-Lipschitz embeddings and almost homogeneous sets | 2010-02-02 | Paper |
| A criterion for uniqueness of Lagrangian trajectories for weak solutions of the 3D Navier-Stokes equations | 2010-01-11 | Paper |
| An A Posteriori Condition on the Numerical Approximations of the Navier–Stokes Equations for the Existence of a Strong Solution | 2010-01-06 | Paper |
| Bayesian inverse problems for functions and applications to fluid mechanics | 2009-12-18 | Paper |
| Lower semicontinuity of attractors for non-autonomous dynamical systems | 2009-12-14 | Paper |
| Permanence and Asymptotically Stable Complete Trajectories for Nonautonomous Lotka–Volterra Models with Diffusion | 2009-11-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3181888 | 2009-10-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3181893 | 2009-10-12 | Paper |
| Almost-everywhere uniqueness of Lagrangian trajectories for suitable weak solutions of the three-dimensional Navier–Stokes equations | 2009-09-17 | Paper |
| On the continuity of pullback attractors for evolution processes | 2009-07-01 | Paper |
| A simple proof of uniqueness of the particle trajectories for solutions of the Navier–Stokes equations | 2009-04-16 | Paper |
| Linear embeddings of finite-dimensional subsets of Banach spaces into Euclidean spaces | 2009-04-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3530627 | 2008-10-20 | Paper |
| A posteriori regularity of the three-dimensional Navier–Stokes equations from numerical computations | 2008-10-14 | Paper |
| A topological time-delay embeddding theorem for infinite-dimensional cocycle dynamical systems | 2008-07-29 | Paper |
| Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations | 2007-10-22 | Paper |
| Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems | 2007-07-19 | Paper |
| Decay of weak solutions and the singular set of the three-dimensional Navier–Stokes equations | 2007-07-11 | Paper |
| Parametrization of global attractors, experimental observations, and turbulence | 2007-06-14 | Paper |
| Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system | 2007-06-04 | Paper |
| The stability of attractors for non-autonomous perturbations of gradient-like systems | 2007-03-27 | Paper |
| The effect of noise on the Chafee-Infante equation: A nonlinear case study | 2007-02-01 | Paper |
| Numerical verification of regularity in the three-dimensional Navier-Stokes equations | 2007-01-09 | Paper |
| Stabilisation of linear PDEs by Stratonovich noise | 2006-09-21 | Paper |
| BIFURCATION FROM ZERO OF A COMPLETE TRAJECTORY FOR NONAUTONOMOUS LOGISTIC PDES | 2006-06-23 | Paper |
| Fractal dimension of a random invariant set | 2006-04-28 | Paper |
| Bifurcations in non-autonomous scalar equations | 2006-03-20 | Paper |
| Minimal periods of semilinear evolution equations with Lipschitz nonlinearity | 2005-12-29 | Paper |
| STABILITY OF RANDOM ATTRACTORS FOR A BACKWARDS EULER SCHEME | 2005-11-15 | Paper |
| A topological delay embedding theorem for infinite-dimensional dynamical systems | 2005-11-14 | Paper |
| A coupled particle-continuum model: well-posedness and the limit of zero radius | 2005-04-18 | Paper |
| BOUNDARIES OF ATTRACTORS AS OMEGA LIMIT SETS | 2005-03-30 | Paper |
| Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem | 2004-11-23 | Paper |
| Attractors for the Stochastic 3D Navier–Stokes Equations | 2004-07-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4458482 | 2004-03-18 | Paper |
| Computing inertial manifolds | 2004-03-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2776590 | 2003-12-11 | Paper |
| Forwards and pullback behaviour of a non-autonomous Lotka–Volterra system | 2003-12-03 | Paper |
| A comparison between two theories for multi-valued semiflows and their asymptotic behaviour | 2003-08-25 | Paper |
| Low dimensional attractors arise from forcing at small scales | 2003-06-17 | Paper |
| Pullback permanence in a non-autonomous competitive Lotka--Volterra model | 2003-05-25 | Paper |
| Stability of random attractors under perturbation and approximation | 2003-04-02 | Paper |
| Stability and random attractors for a reaction-diffusion equation with multiplicative noise | 2003-03-16 | Paper |
| Stability, instability, and bifurcation phenomena in non-autonomous differential equations | 2003-02-08 | Paper |
| A stochastic pitchfork bifurcation in a reaction-diffusion equation | 2002-06-13 | Paper |
| Constructing an elementary measure on a space of projections. | 2002-06-04 | Paper |
| Solutions of continuous ODEs obtained as the limit of solutions of Lipschitz ODEs | 2002-05-01 | Paper |
| A rigorous treatment of ‘experimental’ observations for the two–dimensional Navier–Stokes equations | 2002-02-26 | Paper |
| Smooth attractors have zero ``thickness | 2001-10-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2751783 | 2001-10-21 | Paper |
| Attractors for differential equations with variable delays | 2001-10-10 | Paper |
| Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values | 2001-09-18 | Paper |
| A finite number of point observations which determine a non-autonomous fluid flow | 2001-09-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2721307 | 2001-07-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4704406 | 2001-05-10 | Paper |
| Finite-dimensional behavior in dissipative partial differential equations | 2001-01-16 | Paper |
| Global attractors: Topology and finite-dimensional dynamics | 2001-01-15 | Paper |
| Nodal parametrisation of analytic attractors | 2001-01-01 | Paper |
| Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values | 2000-12-19 | Paper |
| Inertial manifolds with and without delay | 2000-08-16 | Paper |
| Arbitrarily accurate approximate inertial manifolds of fixed dimension. | 2000-03-07 | Paper |
| A concise proof of the geometric construction of inertial manifolds | 2000-02-08 | Paper |
| Inertial manifolds for the Kuramoto-Sivashinsky equation | 2000-02-06 | Paper |
| Determining asymptotic behavior from the dynamics on attracting sets | 1999-11-23 | Paper |
| Some closure results for inertial manifolds | 1998-11-26 | Paper |
| Upper semicontinuity of attractors for small random perturbations of dynamical systems | 1998-11-11 | Paper |
| All possible chaotic dynamics can be approximated in three dimensions | 1998-10-26 | Paper |
| Convergent families of inertial manifolds for convergent approximations | 1998-06-02 | Paper |
| The asymptotic completeness of inertial manifolds | 1998-03-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4308719 | 1994-10-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3142724 | 1993-12-20 | Paper |
