Wieczorek, Sebastian; Xie, Chun; Ashwin, Peter Rate-induced tipping: thresholds, edge states and connecting orbits. (English) Zbl 1521.34050 Nonlinearity 36, No. 6, 3238-3293 (2023). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 34C37 34C45 34E15 37B55 37C60 37M20 PDFBibTeX XMLCite \textit{S. Wieczorek} et al., Nonlinearity 36, No. 6, 3238--3293 (2023; Zbl 1521.34050) Full Text: DOI arXiv
Ma, Zhong-Xin; Zhao, Jia-Cheng Multi-valued random dynamics of partly dissipative reaction-diffusion system with discontinuous nonlinearity on \(\mathbb{R}^N\). (English) Zbl 1509.35062 Nonlinearity 36, No. 3, 1957-1988 (2023). MSC: 35B41 35K57 35R60 35R70 PDFBibTeX XMLCite \textit{Z.-X. Ma} and \textit{J.-C. Zhao}, Nonlinearity 36, No. 3, 1957--1988 (2023; Zbl 1509.35062) Full Text: DOI
Bezerra, Flank D. M.; Figueroa-López, Rodiak N.; Nascimento, Marcelo J. D. Fractional oscillon equations: continuity properties of attractors with respect to order of the equations. (English) Zbl 1514.37098 Nonlinearity 36, No. 2, 1218-1244 (2023). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37L30 35B40 35B41 35B05 35R11 PDFBibTeX XMLCite \textit{F. D. M. Bezerra} et al., Nonlinearity 36, No. 2, 1218--1244 (2023; Zbl 1514.37098) Full Text: DOI
Nikolić, Vanja; Said-Houari, Belkacem Local well-posedness of a coupled Westervelt-Pennes model of nonlinear ultrasonic heating. (English) Zbl 1500.35100 Nonlinearity 35, No. 11, 5749-5780 (2022). MSC: 35G61 35L71 35K58 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Said-Houari}, Nonlinearity 35, No. 11, 5749--5780 (2022; Zbl 1500.35100) Full Text: DOI arXiv
Agresti, Antonio; Veraar, Mark Nonlinear parabolic stochastic evolution equations in critical spaces. I: Stochastic maximal regularity and local existence. (English) Zbl 1496.60068 Nonlinearity 35, No. 8, 4100-4210 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 60H15 35R60 35K59 47D06 PDFBibTeX XMLCite \textit{A. Agresti} and \textit{M. Veraar}, Nonlinearity 35, No. 8, 4100--4210 (2022; Zbl 1496.60068) Full Text: DOI arXiv
Sultanov, Oskar A. Stability and bifurcation phenomena in asymptotically Hamiltonian systems. (English) Zbl 1502.37067 Nonlinearity 35, No. 5, 2513-2534 (2022). Reviewer: Vladimir Răsvan (Craiova) MSC: 37J65 37J20 37J25 37J40 34C23 34D10 34D20 PDFBibTeX XMLCite \textit{O. A. Sultanov}, Nonlinearity 35, No. 5, 2513--2534 (2022; Zbl 1502.37067) Full Text: DOI arXiv
Martinez, Vincent R. Convergence analysis of a viscosity parameter recovery algorithm for the 2D Navier-Stokes equations. (English) Zbl 1487.35300 Nonlinearity 35, No. 5, 2241-2287 (2022). MSC: 35Q30 76D05 76D55 35B30 93B30 93B52 PDFBibTeX XMLCite \textit{V. R. Martinez}, Nonlinearity 35, No. 5, 2241--2287 (2022; Zbl 1487.35300) Full Text: DOI arXiv
Robinson, James C. Using periodic boundary conditions to approximate the Navier-Stokes equations on \(\mathbb{R}^3\) and the transfer of regularity. (English) Zbl 1479.35632 Nonlinearity 34, No. 11, 7683-7704 (2021). MSC: 35Q30 35B65 35D35 PDFBibTeX XMLCite \textit{J. C. Robinson}, Nonlinearity 34, No. 11, 7683--7704 (2021; Zbl 1479.35632) Full Text: DOI arXiv
Ertzbischoff, Lucas; Han-Kwan, Daniel; Moussa, Ayman Concentration versus absorption for the Vlasov-Navier-Stokes system on bounded domains. (English) Zbl 1486.35383 Nonlinearity 34, No. 10, 6843-6900 (2021). MSC: 35Q83 35Q30 35B40 35D30 76D05 76D10 76T99 PDFBibTeX XMLCite \textit{L. Ertzbischoff} et al., Nonlinearity 34, No. 10, 6843--6900 (2021; Zbl 1486.35383) Full Text: DOI arXiv
Campolina, Ciro S.; Mailybaev, Alexei A. Fluid dynamics on logarithmic lattices. (English) Zbl 1468.76004 Nonlinearity 34, No. 7, 4684-4715 (2021). MSC: 76A02 76B03 76D03 76F20 37N10 PDFBibTeX XMLCite \textit{C. S. Campolina} and \textit{A. A. Mailybaev}, Nonlinearity 34, No. 7, 4684--4715 (2021; Zbl 1468.76004) Full Text: DOI arXiv
Wieczorek, Sebastian; Xie, Chun; Jones, Chris K. R. T. Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds. (English) Zbl 1470.34089 Nonlinearity 34, No. 5, 2970-3000 (2021). MSC: 34C05 34D45 34C45 37C60 PDFBibTeX XMLCite \textit{S. Wieczorek} et al., Nonlinearity 34, No. 5, 2970--3000 (2021; Zbl 1470.34089) Full Text: DOI arXiv
Fraser, Jonathan M. On Hölder solutions to the spiral winding problem. (English) Zbl 1468.28005 Nonlinearity 34, No. 5, 3251-3270 (2021). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 28A80 26A16 28A78 34C05 37C10 37C45 PDFBibTeX XMLCite \textit{J. M. Fraser}, Nonlinearity 34, No. 5, 3251--3270 (2021; Zbl 1468.28005) Full Text: DOI arXiv Link
Papathanasiou, Stavros Sufficient conditions for local scaling laws for stationary martingale solutions to the 3D Navier-Stokes equations. (English) Zbl 1465.76031 Nonlinearity 34, No. 5, 2937-2969 (2021). MSC: 76D06 76F55 35Q30 PDFBibTeX XMLCite \textit{S. Papathanasiou}, Nonlinearity 34, No. 5, 2937--2969 (2021; Zbl 1465.76031) Full Text: DOI arXiv
Langa, José A.; Obaya, Rafael; Sanz, Ana M. Forwards attraction properties in scalar non-autonomous linear-dissipative parabolic PDEs. The case of null upper Lyapunov exponent. (English) Zbl 1464.37079 Nonlinearity 33, No. 9, 4277-4309 (2020). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37L30 37L45 37C60 35K57 PDFBibTeX XMLCite \textit{J. A. Langa} et al., Nonlinearity 33, No. 9, 4277--4309 (2020; Zbl 1464.37079) Full Text: DOI arXiv
Lucarini, Valerio; Bódai, Tamás Global stability properties of the climate: melancholia states, invariant measures, and phase transitions. (English) Zbl 1457.86007 Nonlinearity 33, No. 9, R59-R92 (2020). MSC: 86A08 35Q86 37C75 60H30 62P12 PDFBibTeX XMLCite \textit{V. Lucarini} and \textit{T. Bódai}, Nonlinearity 33, No. 9, R59--R92 (2020; Zbl 1457.86007) Full Text: DOI arXiv
Kalita, Piotr; Łukaszewicz, Grzegorz Micropolar meets Newtonian in 3D. The Rayleigh-Bénard problem for large Prandtl numbers. (English) Zbl 1454.76009 Nonlinearity 33, No. 11, 5686-5732 (2020). MSC: 76A05 76E15 35Q35 35Q79 80A19 PDFBibTeX XMLCite \textit{P. Kalita} and \textit{G. Łukaszewicz}, Nonlinearity 33, No. 11, 5686--5732 (2020; Zbl 1454.76009) Full Text: DOI arXiv
Beretta, Elena; Cavaterra, Cecilia; Ratti, Luca On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements. (English) Zbl 1452.35253 Nonlinearity 33, No. 11, 5659-5685 (2020). MSC: 35R30 35K58 35K61 65M32 PDFBibTeX XMLCite \textit{E. Beretta} et al., Nonlinearity 33, No. 11, 5659--5685 (2020; Zbl 1452.35253) Full Text: DOI arXiv
Barański, Krzysztof; Gutman, Yonatan; Śpiewak, Adam A probabilistic Takens theorem. (English) Zbl 1453.28002 Nonlinearity 33, No. 9, 4940-4966 (2020). MSC: 28A78 28A80 37C45 PDFBibTeX XMLCite \textit{K. Barański} et al., Nonlinearity 33, No. 9, 4940--4966 (2020; Zbl 1453.28002) Full Text: DOI arXiv
Goluskin, David Bounding extrema over global attractors using polynomial optimisation. (English) Zbl 1453.37075 Nonlinearity 33, No. 9, 4878-4899 (2020). MSC: 37M22 37C70 37C75 90C23 90C90 PDFBibTeX XMLCite \textit{D. Goluskin}, Nonlinearity 33, No. 9, 4878--4899 (2020; Zbl 1453.37075) Full Text: DOI arXiv
Ye, Hailong; Jia, Yan; Dong, Bo-Qing Sharp time decay rates of \(H^{1}\) weak solutions for the 2D MHD equations with linear damping velocity. (English) Zbl 1451.35027 Nonlinearity 33, No. 9, 4857-4877 (2020). MSC: 35B40 35D30 35Q35 76W05 PDFBibTeX XMLCite \textit{H. Ye} et al., Nonlinearity 33, No. 9, 4857--4877 (2020; Zbl 1451.35027) Full Text: DOI
Deugoué, G.; Moghomye, B. Jidjou; Tachim Medjo, T. Existence of a solution to the stochastic nonlocal Cahn-Hilliard Navier-Stokes model via a splitting-up method. (English) Zbl 1452.35268 Nonlinearity 33, No. 7, 3424-3469 (2020). MSC: 35R60 35Q35 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{G. Deugoué} et al., Nonlinearity 33, No. 7, 3424--3469 (2020; Zbl 1452.35268) Full Text: DOI
Koltai, Péter; Weiss, Stephan Diffusion maps embedding and transition matrix analysis of the large-scale flow structure in turbulent Rayleigh-Bénard convection. (English) Zbl 1439.58021 Nonlinearity 33, No. 4, 1723-1756 (2020). MSC: 58J65 60J60 60J70 62M05 62M15 76R10 76F35 PDFBibTeX XMLCite \textit{P. Koltai} and \textit{S. Weiss}, Nonlinearity 33, No. 4, 1723--1756 (2020; Zbl 1439.58021) Full Text: DOI arXiv
de Cássia D. S. Broche, Rita; Carvalho, Alexandre N.; Valero, José A non-autonomous scalar one-dimensional dissipative parabolic problem: the description of the dynamics. (English) Zbl 1425.35115 Nonlinearity 32, No. 12, 4912-4941 (2019). MSC: 35K91 35B32 35B41 37L30 PDFBibTeX XMLCite \textit{R. de Cássia D. S. Broche} et al., Nonlinearity 32, No. 12, 4912--4941 (2019; Zbl 1425.35115) Full Text: DOI arXiv
Wang, Yanqing; Yang, Minsuk Improved bounds for box dimensions of potential singular points to the Navier-Stokes equations. (English) Zbl 1425.76056 Nonlinearity 32, No. 12, 4817-4833 (2019). MSC: 76D03 76D05 35B33 35Q35 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{M. Yang}, Nonlinearity 32, No. 12, 4817--4833 (2019; Zbl 1425.76056) Full Text: DOI arXiv
Núñez, Carmen; Obaya, Rafael Li-Yorke chaos in nonautonomous Hopf bifurcation patterns. I. (English) Zbl 1419.37045 Nonlinearity 32, No. 10, 3940-3980 (2019). MSC: 37G35 37B55 37D45 34C23 PDFBibTeX XMLCite \textit{C. Núñez} and \textit{R. Obaya}, Nonlinearity 32, No. 10, 3940--3980 (2019; Zbl 1419.37045) Full Text: DOI arXiv
Margaris, Alexandros; Robinson, James C. Embedding properties of sets with finite box-counting dimension. (English) Zbl 1428.37020 Nonlinearity 32, No. 10, 3523-3547 (2019). Reviewer: Ivan Ivanšić (Zagreb) MSC: 37C45 54C25 54F45 46B09 PDFBibTeX XMLCite \textit{A. Margaris} and \textit{J. C. Robinson}, Nonlinearity 32, No. 10, 3523--3547 (2019; Zbl 1428.37020) Full Text: DOI arXiv Link
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed On local regularity conditions for the Navier-Stokes equations. (English) Zbl 1416.35188 Nonlinearity 32, No. 6, 1905-1928 (2019). MSC: 35Q30 76D05 35B65 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Nonlinearity 32, No. 6, 1905--1928 (2019; Zbl 1416.35188) Full Text: DOI
Schlömerkemper, A.; Žabenský, J. Uniqueness of solutions for a mathematical model for magneto-viscoelastic flows. (English) Zbl 1397.35226 Nonlinearity 31, No. 6, 2989-3012 (2018). Reviewer: Dongbing Zha (Shanghai) MSC: 35Q35 35A02 35Q74 74F15 35D30 74F10 PDFBibTeX XMLCite \textit{A. Schlömerkemper} and \textit{J. Žabenský}, Nonlinearity 31, No. 6, 2989--3012 (2018; Zbl 1397.35226) Full Text: DOI arXiv
Fraser, Jonathan M.; Todd, Mike Quantifying inhomogeneity in fractal sets. (English) Zbl 1445.28010 Nonlinearity 31, No. 4, 1313-1330 (2018). Reviewer: Lin Shu (Beijing) MSC: 28A80 PDFBibTeX XMLCite \textit{J. M. Fraser} and \textit{M. Todd}, Nonlinearity 31, No. 4, 1313--1330 (2018; Zbl 1445.28010) Full Text: DOI arXiv Link
Gutman, Yonatan; Qiao, Yixiao; Szabó, Gábor The embedding problem in topological dynamics and Takens’ theorem. (English) Zbl 1384.37034 Nonlinearity 31, No. 2, 597-620 (2018). Reviewer: Mihai Turinici (Iaşi) MSC: 37C85 54H20 PDFBibTeX XMLCite \textit{Y. Gutman} et al., Nonlinearity 31, No. 2, 597--620 (2018; Zbl 1384.37034) Full Text: DOI arXiv
Chen, Mingtao; Zang, Aibin On classical solutions to the Cauchy problem of the 2D compressible non-resistive MHD equations with vacuum states. (English) Zbl 1375.35365 Nonlinearity 30, No. 9, 3637-3675 (2017). MSC: 35Q35 35B44 76W05 35A09 35D35 PDFBibTeX XMLCite \textit{M. Chen} and \textit{A. Zang}, Nonlinearity 30, No. 9, 3637--3675 (2017; Zbl 1375.35365) Full Text: DOI arXiv
Gao, Peng The stochastic Swift-Hohenberg equation. (English) Zbl 1372.60089 Nonlinearity 30, No. 9, 3516-3559 (2017). MSC: 60H15 35R60 35K35 37H05 37L55 37L30 37L40 35B40 60F10 PDFBibTeX XMLCite \textit{P. Gao}, Nonlinearity 30, No. 9, 3516--3559 (2017; Zbl 1372.60089) Full Text: DOI
Caraballo, T.; Langa, J. A.; Obaya, R. Pullback, forward and chaotic dynamics in 1D non-autonomous linear-dissipative equations. (English) Zbl 1375.37106 Nonlinearity 30, No. 1, 274-299 (2017). Reviewer: David Cheban (Chisinau) MSC: 37D45 37A20 37C60 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Nonlinearity 30, No. 1, 274--299 (2017; Zbl 1375.37106) Full Text: DOI Link
Bianchi, Luigi Amedeo; Blömker, Dirk; Yang, Meihua Additive noise destroys the random attractor close to bifurcation. (English) Zbl 1357.60064 Nonlinearity 29, No. 12, 3934-3960 (2016). MSC: 60H15 60H10 37H10 37H20 37B25 37G35 37L30 PDFBibTeX XMLCite \textit{L. A. Bianchi} et al., Nonlinearity 29, No. 12, 3934--3960 (2016; Zbl 1357.60064) Full Text: DOI arXiv