B. Kolev

发表

TOPICAL REVIEW: On the geometric approach to the motion of inertial mechanical systems

A. Constantin, B. Kolev, 2002 .

Geodesic flow on the diffeomorphism group of the circle

A. Constantin, B. Kolev, 2003 .

Local well-posedness of the EPDiff equation: A survey

B. Kolev, 2016, 1611.05034.

Numerical simulation of the scale effect on particle breakage in rockfill dams

M. Taiebat, B. Kolev, 2016 .

Computation of minimal covariants bases for 2D coupled constitutive laws

N. Auffray, B. Desmorat, R. Desmorat, 2020, 2007.01576.

Micromechanics based framework with second-order damage tensors

B. Desmorat, R. Desmorat, B. Kolev, 2017, 1706.00845.

Geodesic completeness for Sobolev Hs-metrics on the diffeomorphism group of the circle

J. Escher, B. Kolev, 2013, 1308.3570.

Local and Global Well-posedness of the fractional order EPDiff equation on $R^d$

Martin Bauer, J. Escher, B. Kolev, 2014, 1411.4081.

Integrity bases for cubic nonlinear magnetostriction

R. Desmorat, B. Kolev, O. Hubert, 2020, Journal of Magnetism and Magnetic Materials.

A Lichnerowicz estimate for the first eigenvalue of convex domains in Kähler manifolds

N. Yeganefar, B. Kolev, V. Guedj, 2011, 1111.5323.

A Minimal Integrity Basis for the Elasticity Tensor

N. Auffray, B. Kolev, M. Olive, 2016, 1605.09561.

Fractional Sobolev metrics on spaces of immersed curves

Martin Bauer, M. Bruveris, B. Kolev, 2017, 1703.03323.

Geometric investigations of a vorticity model equation

Martin Bauer, B. Kolev, S. Preston, 2015, 1504.08029.

Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle

J. Escher, B. Kolev, 2012, 1202.5122.

Invariant-based approach to symmetry class detection

M. Petitot, N. Auffray, B. Kolev, 2011, 1111.0861.

Harmonic Factorization and Reconstruction of the Elasticity Tensor

B. Desmorat, R. Desmorat, B. Kolev, 2016, 1612.08281.

Geodesic completeness of the $$H^{3/2}$$ metric on $$\mathrm {Diff}(S^{1})$$

Martin Bauer, B. Kolev, S. Preston, 2019, Monatshefte für Mathematik.

Minimal Functional Bases for Elasticity Tensor Symmetry Classes

N. Auffray, B. Desmorat, R. Desmorat, 2021, Journal of Elasticity.

Reduced algebraic conditions for plane or axial tensorial symmetries

B. Desmorat, R. Desmorat, B. Kolev, 2019, Mathematics and Mechanics of Solids.

Generic separating sets for 3D elasticity tensors

N. Auffray, B. Desmorat, R. Desmorat, 2018 .

Reduced polynomial invariant integrity basis for in-plane magneto-mechanical loading

R. Desmorat, B. Kolev, O. Hubert, 2022, SSRN Electronic Journal.

Objective rates as covariant derivatives on the manifold of Riemannian metrics

Boris Kolev, Rodrigue Desmorat, R. Desmorat, 2021, 2106.01126.

J ul 2 02 0 COMPUTATION OF MINIMAL COVARIANTS BASES FOR 2 D COUPLED CONSTITUTIVE LAWS

N. Auffray, B. Desmorat, R. Desmorat, 2021 .

Two-component equations modelling water waves with constant vorticity

D. Henry, J. Escher, B. Kolev, 2014, 1406.1645.

Integrability of Invariant Metrics on the Diffeomorphism Group of the Circle

Adrian Constantin, Boris Kolev, A. Constantin, 2006, J. Nonlinear Sci..

Plane Topology and Dynamical Systems

B. Kolev, 1994 .

The theorem of Kerekjarto on periodic homeomorphisms of the disc and the sphere

A. Constantin, B. Kolev, 2003, math/0303256.

On geodesic exponential maps of the Virasoro group

Thomas Kappeler, Boris Kolev, Adrian Constantin, 2007 .

Recurrent surface homeomorphisms

B. Kolev, Marie-Christine Pérouème, 1998, Mathematical Proceedings of the Cambridge Philosophical Society.

Distance to plane elasticity orthotropy by Euler–Lagrange method

B. Desmorat, R. Desmorat, B. Kolev, 2021, Comptes Rendus. Mécanique.

Computation of minimal covariants bases for 2D coupled constitutive laws

N. Auffray, B. Desmorat, R. Desmorat, 2020, 2007.01576.

Characterization of the symmetry class of an elasticity tensor using polynomial covariants

Boris Desmorat, Boris Kolev, Rodrigue Desmorat, 2018, Mathematics and Mechanics of Solids.

On Anisotropic Polynomial Relations for the Elasticity Tensor

M. Petitot, N. Auffray, B. Kolev, 2014 .

Generic separating sets for three-dimensional elasticity tensors

N. Auffray, B. Desmorat, R. Desmorat, 2018, Proceedings of the Royal Society A.

Continuous anisotropic damage as a twin modelling of discrete bi-dimensional fracture

R. Desmorat, B. Kolev, C. Oliver‐Leblond, 2020, 2011.09909.

On the Determination of Plane and Axial Symmetries in Linear Elasticity and Piezo-Electricity

B. Desmorat, R. Desmorat, B. Kolev, 2020, Journal of Elasticity.

The geometry of a vorticity model equation

Joachim Escher, Boris Kolev, Marcus Wunsch, 2010, 1010.4844.

Well-posedness of the EPDiff equation with a pseudo-differential inertia operator

Martin Bauer, J. Escher, B. Kolev, 2019, 1911.03238.

Reduced polynomial invariant integrity basis for in-plane magneto-mechanical loading

R. Desmorat, B. Kolev, O. Hubert, 2022, SSRN Electronic Journal.

GEOMETRICAL METHODS FOR EQUATIONS OF HYDRODYNAMICAL TYPE

J. Escher, B. Kolev, 2012 .

Euler equations on a semi-direct product of the diffeomorphisms group by itself

J. Escher, R. Ivanov, B. Kolev, 2011 .

The Degasperis–Procesi equation as a non-metric Euler equation

J. Escher, B. Kolev, 2009, 0908.0508.

Lie Groups and Mechanics: An Introduction

Boris Kolev, B. Kolev, 2004, math-ph/0402052.

Surface homeomorphisms with zero-dimensional singular set

C. Bonatti, B. Kolev, 1998, math/0303261.

Chapter 1 The Jordan Curve Theorem

B. Kolev, 2018 .

Periodic orbits of period 3 in the disc

B. Kolev, 1994, 0712.0056.

HOMEOMORPHISMS OF THE DISC AND THE SPHERE

A. Constantin, B. Kolev, 2003 .

Geometric Aspects of the Periodic μ-Degasperis-Procesi Equation

J. Escher, B. Kolev, M. Kohlmann, 2010, 1004.0978.

Some geometric investigations on the Degasperis-Procesi shallow water equation

B. Kolev, 2009 .

Geometric aspects of the periodic $\mu$DP equation

J. Escher, B. Kolev, M. Kohlmann, 2009 .

Geometric Differences between the Burgers and the Camassa-Holm Equations

B. Kolev, 2008 .