Nikos Kavallaris

About

Nikos' research interests include:
1) Deterministic and stochastic modelling of phenomena arising in biology, ecology, game theory, industry etc.
2)Mathematical analysis of nonlinear and non-local parabolic deterministic & stochastic differential equations and their systems
3) Uncertainty quantification of stochastic models arising in biology, ecology, finance.

The theoretical tools employed for Nikos' research activities include: Mathematical analysis (functional analysis, calculus of variations, dynamical systems theory), asymptotic analysis (rigorous and formal asymptotics), probability theory (Gillespie algorithm, stochastic modelling), stochastic analysis ( Ito calculus, large deviation methods), ergodic theory (averaging methods), statistical analysis: (uncertainty quantification),
numerical analysis (adaptive finite difference and finite elements methods)

Employment

• Karlstad University Associate Professor
  2023 - Present
• Karlstad University Senior Lecturer
  2022 - 2023
• Osaka University Postdoctoral Researcher
  2006 - 2007
• Ethniko Metsobio Polytechneio Postdoctoral Researcher
  2005 - 2006
• Uniwersytet Wroclawski Postdoctoral Researcher
  2004 - 2005
• Ethniko Metsobio Polytechneio Adjunct Lecturer
  2001 - 2004

Education

• Ethniko Metsobio Polytechneio PhD
  1997 - 2000
• Ethniko kai Kapodistriako Panepistemio Athenon Iatrike Schole MSc in Pure Mathematics
  1994 - 1996
• Ethniko kai Kapodistriako Panepistemio Athenon Iatrike Schole BSc in Mathematics
  1990 - 1994

Projects & Funding

Projects & funding information is unavailable.

Publications (52)

• A time-fractional Fisher–KPP equation for tumor growth: Analysis and numerical simulation
  Communications in Nonlinear Science and Numerical Simulation 2026 DOI: 10.1016/j.cnsns.2026.109911
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• Non-linear failure patterns in urban road networks exposed to flooding
  PLOS One 2026 DOI: 10.1371/journal.pone.0354204
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• Nonlocal Proliferation and Explosive Tumour Dynamics: Mechanistic Modelling and Bayesian Inference
  2026 DOI: 10.64898/2026.03.23.713731
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• Diffusion-Driven Blow-Up for a Nonlocal Fisher-KPP Type Model
  SIAM Journal on Mathematical Analysis 2023 DOI: 10.1137/21M145519X
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• A stochastic parabolic model of MEMS driven by fractional Brownian motion
  Journal of Mathematical Biology 2023 DOI: 10.1007/s00285-023-01897-6
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• On the impact of noise on quenching for a nonlocal diffusion model driven by a mixture of Brownian and fractional Brownian motions
  Discrete and Continuous Dynamical Systems - S 2023 DOI: 10.3934/dcdss.2023192
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• Bifurcation diagram of a Robin boundary value problem arising in MEMS
  Hiroshima Mathematical Journal 2022 DOI: 10.32917/h2021029
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• Blowup solutions for the nonlocal shadow limit model of a singular Gierer-Meinhardt system with critical parameters
  Journal of Differential Equations 2022 DOI: 10.1016/j.jde.2022.07.010
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• Impacts of noise on quenching of some models arising in MEMS technology
  European Journal of Applied Mathematics 2022 DOI: 10.1017/s0956792522000262
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• Gradient inequality and convergence to steady-states of the normalized Ricci flow on surfaces
  Nonlinear Analysis 2022 DOI: 10.1016/j.na.2022.112906
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