Problems on Time-Varying Domains: Formulation, Dynamics, and Challenges

Stability on Time-Dependent Domains

(2014) E. Knobloch et al.   JOURNAL OF NONLINEAR SCIENCE

Inviscid incompressible limits on expanding domains

(2014) Eduard Feireisl et al.   NONLINEARITY

A linear stability theory on time-invariant and time-dependent spatial domains with symmetry: the drop splash problem

(2013) Rouslan Krechetnikov   Dynamics of Partial Differential Equations

Asymptotic Behaviour for a Nonlinear Schrödinger Equation in Domains with Moving Boundaries

(2012) Vanilde Bisognin et al.   ACTA APPLICANDAE MATHEMATICAE

A mathematical mechanism for instabilities in stripe formation on growing domains

(2011) Kei-Ichi Ueda et al.   PHYSICA D-NONLINEAR PHENOMENA

Pattern identification in systems withS(1)symmetry

(2011) Rory Hartong-Redden et al.   PHYSICAL REVIEW E

Escape of particles in a time-dependent potential well

(2011) Diogo Ricardo da Costa et al.   PHYSICAL REVIEW E

Slow passage through resonance

(2011) Youngyong Park et al.   PHYSICAL REVIEW E

A remark on parametric resonance for wave equations with a time periodic coefficient

(2011) Hideo Ueda   PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES

Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain

(2009) J. A. Mackenzie et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains

(2009) Anotida Madzvamuse et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Turing instability conditions for growing domains with divergence free mesh velocity

(2009) Anotida Madzvamuse   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Reaction–diffusion waves in biology

(2009) V. Volpert et al.   Physics of Life Reviews

On stability loss delay for dynamical bifurcations

(2009) Anatoly Neishtadt   Discrete and Continuous Dynamical Systems-Series S

Crown-forming instability phenomena in the drop splash problem

(2008) Rouslan Krechetnikov et al.   JOURNAL OF COLLOID AND INTERFACE SCIENCE

2D Navier–Stokes Equations in a Time Dependent Domain with Neumann Type Boundary Conditions

(2008) Ján Filo et al.   Journal of Mathematical Fluid Mechanics

Phase-Locking Transition in a Chirped Superconducting Josephson Resonator

(2008) O. Naaman et al.   PHYSICAL REVIEW LETTERS

Coupled system of Korteweg–de Vries equations type in domains with moving boundaries

(2007) Eleni Bisognin et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Two-dimensional Euler flows in slowly deforming domains

(2007) J. Vanneste et al.   PHYSICA D-NONLINEAR PHENOMENA