Scaling laws for non-Euclidean plates and the
W^{2,2} isometric immersions of Riemannian metrics ,
submitted (2009) (PDF)
M. Lewicka and M. Pakzad
The infinite hierarchy of elastic shell models:
some recent results and a conjecture ,
submitted (2009) (PDF)
M. Lewicka
A note on the convergence of low energy critical points of
nonlinear elasticity functionals, for thin shells of arbitrary geometry ,
submitted (2008) (PDF)
M. Lewicka, M.G. Mora and M. Pakzad
The matching property of infinitesimal isometries on elliptic
surfaces and elasticity of thin shells ,
submitted (2008) (PDF)
M. Lewicka, M.G. Mora and M. Pakzad
A nonlinear theory for shells with slowly varying thickness ,
C.R. Acad. Sci. Paris, Ser I 347 (2009), 211--216
(PDF)
M. Lewicka, M.G. Mora and M. Pakzad
Shell theories arising as low energy \Gamma-limit of 3d nonlinear elasticity ,
accepted in Ann. Scuola Norm. Sup. Pisa Cl. Sci. (2009) (PDF)
M. Lewicka and S. Muller
The uniform Korn - Poincare inequality in thin domains
, submitted (2007) (PDF)
Papers related to Fluid Dynamics
M. Lewicka and P.B. Mucha
On the existence of traveling waves in the 3D Boussinesq system ,
accepted in Comm. Math. Phys. (2009) (PDF)
M. Lewicka
Existence of traveling waves in the Stokes-Boussinesq system for
reactive flow , J. Differential Equations, 237 (2007), no. 2, 343--371
(PDF)
P. Constantin, M. Lewicka and L. Ryzhik
A note on traveling waves
in the 2D Navier-Stokes-Boussinesq system with the no-slip boundary condition ,
Nonlinearity, 19 (2006), 2605--2615
(PDF)
M. Lewicka and P.B. Mucha
On temporal asymptotics for the p'th power viscous reactive gas ,
Nonlinear Anal. 57 (2004), no. 7-8, 951--969
(PDF)
M. Lewicka and S.J. Watson
Temporal asymptotics for the p'th power newtonian fluid in one space dimension ,
Z. Angew. Math. Phys., 54 (2003), no. 4, 633--651.
(PDF)
Papers on Conservation Laws
M. Lewicka and K. Zumbrun
Spectral stability conditions for shock wave patterns ,
Journal of Hyperbolic Equations, 4 (2007), no. 1, 1--16.
(PDF)
M. Lewicka
Stability conditions for strong rarefaction waves ,
SIAM J. Math. Anal. 36 (2005), no. 4, 1346--1369
(PDF)
M. Lewicka
Lyapunov functional for solutions of
systems of conservation laws containing a strong rarefaction ,
SIAM J. Math. Anal. 36 (2005), no. 5, 1371--1399
(PDF)
M. Lewicka
The well posedness for hyperbolic systems
of conservation laws with large BV data ,
Arch. Rational Mech. Anal. 173 (2004), 415--445
(PDF)
M. Lewicka and K. Trivisa
On the L1 well posedness of systems of conservation laws near solutions containing two
large shocks , J. Differential Equations, 179 (2002), 133--177
(PDF)
M. Lewicka
Stability conditions for patterns of non-interacting large shock waves ,
SIAM J. Math. Anal., 32 no. 5 (2001), 1094--1116
(PDF)
M. Lewicka
On the L1 stability of multi-shock solutions to the Riemann problem ,
International Series of Numerical Mathematics, 141 (2001), 653--662
(PDF)
M. Lewicka
L1 stability of patterns of non-interacting
large shock waves , Indiana Univ. Math. J., 49 (2000), 1515--1537
(PDF)
A. Bressan and M. Lewicka
A uniqueness condition for hyperbolic systems of conservation laws ,
Discrete and Continuous Dynamical Systems, 6 no. 3 (2000), 673--682
(PDF)
M. Lewicka
On the well posedness of a system of balance
laws with L\infty data ,
Rend. Sem. Mat. Univ. Padova, 102 (1999), 319--340
(PDF)
A. Bressan and M. Lewicka
Shift differentials of maps in BV Spaces ,
in: 'Nonlinear Theory of Generalized Functions --
Proceedings of the Workshop Nonlinear Theory of Nonlinear Functions,
Vienna 1997', Chapman&Hall
(PDF)
Papers on second order ODEs on manifolds
M. Lewicka and M. Spadini
Branches of forced oscillations in degenerate systems
of second order ODEs , Nonlinear Analysis 68 (2008), 2623--2628
(PDF)
M. Lewicka and M. Spadini
A remark on the genericity of multiplicity results for forced oscillations on manifolds ,
Annali di Mat. Pura ed Applicata, 181 (2002), 85--94
(PDF)
M. Lewicka and M. Spadini
On the genericity of the multiplicity results for forced oscillations on compact manifolds ,
Nonlinear Diff. Equ. Appl., 6 (1999), 357--369.
(PDF)
Other papers
M. Lewicka
Locally lipschitzian guiding function method for ODEs ,
Nonlinear Analysis 33 (1998), 747 - 758.
(PDF)
J. Andres, L. Gorniewicz and M. Lewicka
Partially dissipative periodic processes ,
Banach Center Publications, Warszawa 1996.