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Journal of Differential Equations, ISSN 0022-0396, 2011, Volume 250, Issue 4, pp. 2162 - 2176
Based on geometric singular perturbation theory we prove the existence of classical Liénard equations of degree 6 having 4 limit cycles. It implies the... 
Singular perturbations | Relaxation oscillation | Limit cycles | Classical Liénard equations | Slow–fast system | Slow-fast system | MATHEMATICS | Classical Lienard equations
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 7/2014, Volume 329, Issue 2, pp. 725 - 744
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 03/2017, Volume 107, Issue 3, pp. 315 - 335
We consider the Rosenau–Korteweg–de Vries equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the... 
Entropy condition | Compensated compactness | Singular limit | Rosenau–KdV-equation | MATHEMATICS, APPLIED | OSTROVSKY | NUMERICAL-METHOD | APPROXIMATIONS | Rosenau-KdV-equation | MATHEMATICS | SCHEME | WAVES | SOLITONS | DYNAMICS | CONVERGENCE | DIFFUSION | KDV | Environmental law
Journal Article
Advances in Mathematics, ISSN 0001-8708, 10/2017, Volume 319, pp. 348 - 395
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 12/2015, Volume 49, Issue 1
In this contribution to the study of one-dimensional point potentials, we prove that if we take the limit q -> 0 on a potential of the type v(0)delta(y) +... 
group theory | quantum mechanics | delta prime | point interactions | quantum dynamical systems | singular potentials | STATES | PHYSICS, MULTIDISCIPLINARY | PISTONS | PHYSICS, MATHEMATICAL | ENERGIES | OPERATORS | SCATTERING
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 06/2016, Volume 75, pp. 455 - 472
Fully electric vehicles with individually controlled drivetrains can provide a high degree of drivability and vehicle safety, all while increasing the... 
Fully electric vehicle | Yaw rate and sideslip control | Phase-plane analysis | Direct yaw moment control | Enhanced Sport Mode | Singular value decomposition | ENGINEERING, MECHANICAL | Electric vehicles | Control systems | Analysis | Controllers | Friction | Cornering | Yaw | Sideslip | Vehicles
Journal Article
Physics Letters A, ISSN 0375-9601, 02/2017, Volume 381, Issue 6, pp. 597 - 603
Dynamics arising in the Hindmarsh–Rose model are considered from a novel perspective. We study qualitative changes that occur as the time scale of the slow... 
Slow-fast dynamics | Hindmarsh–Rose model | Spike-adding | Singular limit | Hindmarsh-Rose model | PHYSICS, MULTIDISCIPLINARY | BIFURCATIONS | HOPF
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 12/2018, Volume 86, pp. 77 - 82
The small Alfvén number limit of the plane magnetohydrodynamic flows is rigorously proved under appropriate initial conditions. The limit system that we... 
Smooth solution | Alfvén number | Plane magnetohydrodynamic flows | SINGULAR LIMITS | MATHEMATICS, APPLIED | Alfven number | HYPERBOLIC SYSTEMS | INCOMPRESSIBLE LIMIT | LARGE PARAMETER
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 6/2019, Volume 79, Issue 3, pp. 1907 - 1935
Journal Article
Automatica, ISSN 0005-1098, 12/2013, Volume 49, Issue 12, pp. 3613 - 3622
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 01/2015, Volume 258, Issue 2, pp. 379 - 398
This paper studies the low Mach number limit of the full compressible Navier–Stokes equations in a three-dimensional bounded domain where the velocity field... 
Full Navier–Stokes equations | Polytropic gas | Low Mach number limit | Bounded domain | Slip boundary conditions | Full Navier-Stokes equations | COMPRESSIBLE FLOWS | INCOMPRESSIBLE LIMIT | MATHEMATICS | SINGULAR LIMITS | FOURIER SYSTEM | FLUID | INITIAL DATA | EULER EQUATIONS | Fluid dynamics
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 08/2017, Volume 273, Issue 3, pp. 875 - 916
Liouville Field Theory (LFT for short) is a two dimensional model of random surfaces, which is for instance involved in 2 string theory or in the description... 
Liouville field theory | Large deviation principle | Gaussian multiplicative chaos | Semiclassical limit | MEHLER KERNEL FORMULAS | CONDITIONAL WIENER INTEGRALS | EQUATIONS | QUANTUM-GRAVITY | MATHEMATICS | CURVATURE | LAPLACE ASYMPTOTIC EXPANSIONS | LARGE DEVIATIONS | GAUSSIAN INTEGRALS | String theory | Analysis | Probability | Mathematics
Journal Article
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, ISSN 1531-3492, 08/2019, Volume 24, Issue 8, pp. 3653 - 3666
We examine the invariance principle in the stability theory of differential equations, within a general singularly perturbed system. The limit dynamics of such... 
invariant measures | Liapunov functions | MATHEMATICS, APPLIED | LaSalle invariance principle | DYNAMIC-SYSTEMS | Singular perturbations | ASYMPTOTIC STABILITY | Young measures
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 11/2018, Volume 64, Issue 11, pp. 7311 - 7338
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 01/2020, Volume 43, Issue 2, pp. 580 - 599
This paper is concerned with a one‐dimensional nonisentropic compressible planar magnetohydrodynamic flow with general initial data, whose behaviors at far... 
uniform estimates | nonisentropic magnetohydrodynamics (MHD) | low Mach limit | SINGULAR LIMITS | MATHEMATICS, APPLIED | NUMBER LIMIT | DIFFUSIVE WAVE | SYSTEMS | INCOMPRESSIBLE LIMIT
Journal Article
20.