Pullback exponential attractors for evolution processes in Banach spaces: Theoretical results AN Carvalho, S Sonner Commun. Pure Appl. Anal. 12, 3047-3071., 2013 | 63 | 2013 |
Hardy-type inequalities for -Laplacians AE Kogoj, S Sonner Complex Var. Elliptic Equ. 61, 422-442, 2016 | 42 | 2016 |
Attractors for a class of semi-linear degenerate parabolic equations AE Kogoj, S Sonner Journal of Evolution Equations 13 (3), 675-691, 2013 | 42 | 2013 |
Pullback exponential attractors for evolution processes in Banach spaces: properties and applications AN de Carvalho, S Sonner Communications on Pure & Applied Analysis 13 (3), 1141, 2014 | 36 | 2014 |
On the well‐posedness of a mathematical model of quorum‐sensing in patchy biofilm communities S Sonner, MA Efendiev, HJ Eberl Mathematical Methods in the Applied Sciences 34 (13), 1667-1684, 2011 | 30 | 2011 |
Attractors met X-elliptic operators AE Kogoj, S Sonner Journal of Mathematical Analysis and Applications 420 (1), 407-434, 2014 | 28 | 2014 |
Discretisation of global attractors for lattice dynamical systems X Han, PE Kloeden, S Sonner Journal of Dynamics and Differential Equations 32 (3), 1457-1474, 2020 | 27 | 2020 |
A note on a derivation method for SDE models: Applications in biology and viability criteria J Cresson, S Sonner Stochastic Analysis and Applications 36 (2), 224-239, 2018 | 25 | 2018 |
Validating stochastic models: invariance criteria for systems of stochastic differential equations and the selection of a stochastic Hodgkin-Huxley type model J Cresson, B Puig, S Sonner Internat. J. Biomath. Biostat. 2, 111-122, 2013 | 23 | 2013 |
Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces T Caraballo, S Sonner Discrete Contin. Dyn. Syst. Ser. A, 6383-6403, 2017 | 22 | 2017 |
Mathematical analysis of a quorum sensing induced biofilm dispersal model and numerical simulation of hollowing effects BO Emerenini, S Sonner, HJ Eberl Mathematical Biosciences & Engineering 14 (3), 625, 2016 | 19 | 2016 |
On the positivity of solutions of systems of stochastic PDEs J Cresson, M Efendiev, S Sonner ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2013 | 19 | 2013 |
On verifying mathematical models with diffusion, transport and interaction MA Efendiev, S Sonner Adv. Math. Sci. Appl 32, 41-67, 2010 | 19 | 2010 |
Stochastic models in biology and the invariance problem J Cresson, B Puig, S Sonner Discrete Contin. Dyn. Syst. Ser. B 21, 2145-2168, 2016 | 18 | 2016 |
Time adaptive numerical solution of a highly non-linear degenerate cross-diffusion system arising in multi-species biofilm modelling M GHASEMI, S SONNER, HJ EBERL European Journal of Applied Mathematics 29 (6), 1035-1061, 2018 | 15 | 2018 |
A nonlocal sample dependence SDE-PDE system modeling proton dynamics in a tumor PE Kloeden, S Sonner, C Surulescu Discrete Contin. Dyn. Syst. Ser. B 21, 2233-2254, 2016 | 13 | 2016 |
On a coupled SDE-PDE system modeling acid-mediated tumor invasion SA Hiremath, C Surulescu, A Zhigun, S Sonner Discrete & Continuous Dynamical Systems-B 23 (6), 2339, 2018 | 12 | 2018 |
On the well‐posedness of mathematical models for multicomponent biofilms S Sonner, MA Efendiev, HJ Eberl Mathematical Methods in the Applied Sciences 38, 3753-3775, 2015 | 12 | 2015 |
Discrete attachment to a cellulolytic biofilm modeled by an Itô stochastic differential equation Y Rohanizadegan, S Sonner, HJ Eberl Mathematical Biosciences and Engineering 17 (3), 2236, 2020 | 10 | 2020 |
Pullback exponential attractors for differential equations with variable delays MA Hammami, L Mchiri, S Netchaoui, S Sonner Discrete & Continuous Dynamical Systems-B 22 (11), 1, 2019 | 10 | 2019 |