Linear inviscid damping for monotone shear flows C Zillinger Transactions of the American Mathematical Society 369 (12), 8799-8855, 2017 | 110 | 2017 |
Linear inviscid damping for monotone shear flows in a finite periodic channel, boundary effects, blow-up and critical Sobolev regularity C Zillinger Archive for Rational Mechanics and Analysis 221 (3), 1449-1509, 2016 | 82 | 2016 |
On degenerate circular and shear flows: the point vortex and power law circular flows M Coti Zelati, C Zillinger Communications in Partial Differential Equations 44 (2), 110-155, 2019 | 44 | 2019 |
On enhanced dissipation for the Boussinesq equations C Zillinger Journal of Differential Equations 282, 407-445, 2021 | 40 | 2021 |
On circular flows: linear stability and damping C Zillinger Journal of Differential Equations 263 (11), 7856-7899, 2017 | 25 | 2017 |
Echo chains as a linear mechanism: Norm inflation, modified exponents and asymptotics Y Deng, C Zillinger Archive for rational mechanics and analysis 242 (1), 643-700, 2021 | 22 | 2021 |
Exact constructions in the (non-linear) planar theory of elasticity: from elastic crystals to nematic elastomers P Cesana, F Della Porta, A Rüland, C Zillinger, B Zwicknagl Archive for Rational Mechanics and Analysis 237 (1), 383-445, 2020 | 22 | 2020 |
Convex integration arising in the modelling of shape-memory alloys: some remarks on rigidity, flexibility and some numerical implementations A Rüland, JM Taylor, C Zillinger Journal of Nonlinear Science 29, 2137-2184, 2019 | 22 | 2019 |
On the Boussinesq equations with non-monotone temperature profiles C Zillinger Journal of Nonlinear Science 31 (4), 64, 2021 | 19 | 2021 |
Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Dirichlet Problem with Affine Data in int (K^{lc}) A Rüland, C Zillinger, B Zwicknagl SIAM Journal on Mathematical Analysis 50 (4), 3791-3841, 2018 | 18 | 2018 |
Higher Sobolev regularity of convex integration solutions in elasticity: the planar geometrically linearized hexagonal-to-rhombic phase transformation A Rüland, C Zillinger, B Zwicknagl Journal of Elasticity 138 (1), 1-76, 2020 | 16 | 2020 |
On geometric and analytic mixing scales: comparability and convergence rates for transport problems C Zillinger Pure and Applied Analysis 1 (4), 543-570, 2019 | 13 | 2019 |
On echo chains in Landau damping: Traveling wave-like solutions and Gevrey 3 as a linear stability threshold C Zillinger Annals of PDE 7 (1), 1, 2021 | 10 | 2021 |
On echo chains in the linearized Boussinesq equations around traveling waves C Zillinger SIAM Journal on Mathematical Analysis 55 (5), 5127-5188, 2023 | 8 | 2023 |
On the smallness condition in linear inviscid damping: monotonicity and resonance chains Y Deng, C Zillinger Nonlinearity 33 (11), 6176, 2020 | 8 | 2020 |
On echoes in magnetohydrodynamics with magnetic dissipation N Knobel, C Zillinger Journal of Differential Equations 367, 625-688, 2023 | 6 | 2023 |
Linear inviscid damping in Sobolev and Gevrey spaces C Zillinger Nonlinear Analysis 213, 112492, 2021 | 6 | 2021 |
On geometric and analytic mixing scales: comparability and convergence rates for transport problems,(2018) C Zillinger Preprint, 0 | 6 | |
On stability estimates for the inviscid Boussinesq equations C Zillinger Journal of Nonlinear Science 33 (6), 106, 2023 | 4 | 2023 |
On variable viscosity and enhanced dissipation X Liao, C Zillinger Nonlinearity 36 (11), 6071, 2023 | 4 | 2023 |