Books
- A. Abramian, S. Vakulenko, V. Volpert. Editors. Patterns and waves.
Saint Petersburg, 2003.
- A. Volpert, Vit. Volpert, Vl. Volpert. Traveling wave solutions of
parabolic systems. Translation of Mathematical Monographs, Vol. 140,
Amer. Math. Society, Providence, 1994.
Papers in reviewed
journals
- A.
Ducrot, V. Volpert. Modelling of convective heat explosion. J. Tech.
Phys., 2005, 46, No. 3, pp. 129-143.
- A.
Volpert, V. Volpert. Formally adjoint problems and solvability
conditions for elliptic
operators. Russian Journal of Mathematical Physics, Vol. 11, No. 4,
2004, pp. 474-497.
- M. Belk, B. Kazmierczak, V.
Volpert. Existence of
reaction-diffusion-convection waves in unbounded cylinders. IJMMS.
- A. Ducrot, M. Marion, V. Volpert. On a class of elliptic problems
without Fredholm property. Yudovich paper.
- S. Kryzhevich, V. Volpert. Ob usloviyah
Fredgolma i razreshimosti
ellipticheskih kraevyh zadazh. Vestnik Peter. Univ., 2004, 1, 22-32.
- N. Apreutesei, V. Volpert.
Solvability conditions for some discrete
operators. Adv. Difference Equations.
- A. Volpert, V. Volpert. Normal
solvability of
general linear elliptic problems. Abstract and Applied Analysis.
- N. Bessonov, J. A. Pojman, V. A. Volpert, B. D.
Zoltowski. Numerical simulations of convection induced by Korteweg
stresses in
miscible polymer-monomer systems. Microgravity studies.
- N. Apreutesei, V. Volpert. Some properties of infinite dimensional
discrete operators. TMNA, 2004, 24, No. 1, pp. 159-182.
- M. Belk,
V. Volpert. Modelling of heat explosion with convection.
Chaos 14 (2004), no. 2, 263--273.
- N. Apreutesei, V. Volpert. Elliptic regularization for the heat
equation with nonlinear boundary
conditions. Asymptot. Anal. 35 (2003), no. 2,
151--164.
- A. Agouzal, S. Boujena, I. Ciuperca, V. Volpert. Stability of
reaction fronts in thin domains. Int. J. Math. Math. Sci.
2004, no. 1-4, 77--90.
- N. Bessonov, J. Pojman, V. Volpert. Modelling of diffuse interfaces
with temperature gradients. J. Engrg. Math. 49
(2004), no. 4, 321--338.
- B. Kazmierczak, V. Volpert. Existence of heteroclinic orbits for
systems satisfying monotonicity
conditions. Nonlinear Anal. 55 (2003), no. 4,
467--491.
- M. Belk, K. Kostarev, V.
Volpert, T. Yudina. Frontal polymerization
with convection. Journal of Physical Chemistry B, Volume 107,
Issue 37 (2003), pp.
10292-10298.
- I.
Kostin, M. Marion, R. Texier-Picard, V. Volpert. Modelling of
miscible liquids with the Korteweg stress. M2AN, {\bf 37} (2003) No. 5,
pp. 741-754.
- Bazile, M; Nichols, HA; Pojman, JA; Volpert, V Effect of Orientation
on Thermoset Frontal Polymerization. Journal of Polymer Science Part A
Polymer Chemistry 2002, {\bf 40}, No.
20, pp. 3504-3508
- A. Volpert, V. Volpert. Normal solvability and properness of elliptic
problems. Partial differential equations, 193--237, Amer. Math. Soc.
Transl. Ser. 2, 206, M. Agranovich, M. Shubin, Eds. Amer. Math.
Soc.,
Providence, RI, 2002.
- F. Laurent, M. Massot, V. Volpert. Propagation de flammes gaseuses
dans la limite de diffusion massique
nulle. CRAS.
- G. Dzhardimalieva, A. Pomogailo, V. Volpert. Frontal polymerization
of metal containing monomers. J. Inorganic and Organometallic
Polymers. 2002, {\bf 12},
No. 1/2, pp. 1-21.
- T. Dumont, S. Genieys, M. Massot, V. Volpert. Interaction of thermal
explosion and natural convection:
critical conditions and new oscillating regimes. SIAM J. Appl.
Math., 63 (2002), no. 1, 351-372.
- R. Texier, V. Volpert. Reaction-diffusion-convection problems in
unbounded cylinders. Revista Matematica Complutense, {\bf 16}, (2003)
No. 1, pp. 233-276.
- R. Texier, V. Volpert. Probl\`emes de r\'eaction-diffusion-convection
dans des cylindres non born\`es. CRAS, {\bf 333}, Serie I,
(2001), pp. 1077-1082.
- V. Volpert, B. Kazmierczak, M. Massot, Z. Peradzynski. Solvabilitity
conditions for elliptic problems with non Fredholm
operators. Appl. Math. (Warsaw) 29 (2002), no. 2, 219--238.
- V. Volpert, A. Volpert. Properness and topological degree for general
elliptic operators. Abstract and Applied Analysis, 2003, No. 3, pp.
129-182.
- V. Volpert, A. Volpert. Normal solvability of linear elliptic
problems. CRAS, {\bf 334}, Serie I (2002), pp. 457-462.
- J. Pojman, R. Texier, V. Volpert. Convection induced by composition
gradients in miscible systems. CRAS Mecanique, 330 (2002) 353-358.
- S. Vakulenko, V. Volpert. New effects in propagation of waves for
reaction-diffusion systems. Asymptotic Analysis, 38(1)
(2004),11-33.
- C. Barillon, G. Makhviladze, V. Volpert. Stability of stationary
solutions for a model of heat explosion
in a two-phase medium. Eur. J. Applied Math., 2001, {\bf 12}, pp.
57-75.
- A. Volpert, V. Volpert. Existence of multidimensional travelling
waves and systems of
waves. Comm. PDE, 2001, Volume 26, Numbers 3-4, pp. 421 -
459.
- C. Barillon, V. Volpert. Topological degree for a class of elliptic
operators in $R^n$. Top. Methods of Nonlinear Analysis, 1999, {\bf 14},
No. 2, pp. 275-293.
- K. Allali, V. Volpert, J. Pojman. Influence of vibrations on
convective instability of polymerization fronts. J. of Engineering
Mathematics, 41 (2001)
13--31.
- S. Vakulenko, V. Volpert. Generalized travelling waves for perturbed
monotone
reaction-diffusion system
- M. Mejai, V. Volpert. Convergence to systems
of waves for viscous scalar conservation laws. Asymptotic Analysis,
1999, {\bf 20}, pp. 351-366.
- V. Volpert, A. Volpert. Spectrum of elliptic operators and stability
of travelling waves. Asymptotic Analysis, 2000, {\bf 23}, pp.
111-134.
- C. Barillon, G. Makhviladze, V. Volpert. Existence of solutions for
an elliptic-algebraic system
describing heat explosion in a two-phase medium. M2AN, 2000, {\bf 34},
No. 3, pp. 555-573.
- R. Texier, J. Pojman, V. Volpert. Effect of interfacial tension on
stability of polymerization fronts. Chaos, 2000, {\bf 10}, No. 1, pp.
224-230.
- V.A. Volpert, Yu.M. Suhov. Stationary solutions of non-autonomous
Kolmogorov-Petrovsky-Piskunov
equations. Ergodic Theory and Dynamical Systems, 1999, {\bf 19}, pp.
809-835.
- J.F.
Collet, V. Volpert. Computation of the index of linear elliptic
operators in
unbounded cylinders. J. Funct. Analysis, 1999, {\bf 164}, pp. 34-59.
- B. McCaughey, J.A. Pojman, C. Simmons, V.A. Volpert. The effect of
convection on a propagating front with a liquid product: comparison of
theory and experiments. Chaos, 1998, {\bf 8}, No. 2, pp. 520-529.
- V. Volpert, A. Volpert. Multidimensional travelling waves in the
bistable case. CRAS, 1999, {\bf 328}, pp. 245-250.
- V. Volpert, A. Volpert. Existence and stability of the
multidimensional travelling waves in the monostable case. CRAS,
1999, {\bf 328}, pp. 123-128.
- V. Volpert, A. Volpert, Convective instability of reaction fronts.
Linear stability analysis. Eur. J. Appl. Math., 1998, {\bf 9}, pp.
507-525.
- V. Volpert, A. Volpert.
Existence and stability of multidimensional
travelling waves in the monostable case. Israel Journal of
Mathematics, 1999, {\bf 110}, pp. 269-292.
- Vit. Volpert, Vl. Volpert, V. Ilyashenko, J. Pojman. Frontal
polymerization in porous medium. Chem. Eng. Sci., 1998, {\bf 53}, No.
9, pp. 1655-1665.
- V. Volpert, A. Volpert, J.F. Collet. Topological degree for elliptic
operators in unbounded cylinders. Adv. Diff. Eq., 1999, {\bf 4}, No. 6,
pp. 777-812.
- M. Garbey, A. Taik, V. Volpert. Influence of natural convection
on stability of reaction fronts in liquids. Quart. Appl. Math., 1998,
{\bf 53}, pp. 1-35.
- V. Volpert, A. Volpert. Location of spectrum and stability of
solutions for monotone parabolic systems. Adv. Diff. Eq., 1997, {\bf
2}, No. 5, pp. 811-830.
- G. Bowden, M. Garbey, V. Ilyashenko, J. Pojman, S. Solovyov, V.
Volpert. The effect of convection on a propagating front with a solid
product: comparison of theory and experiments, J. Chem. Physics B,
1997, {\bf 101}, pp. 678-686.
- Vl. Volpert, Vit. Volpert. Condensed phase reaction waves with
variable thermo-physical characteristics. Comb. Sci. Tech., 1997, {\bf
127}, No. 1-6, p. 29-53.
- J.F. Collet, V. Volpert. Reactive infiltration in porous media with
thermal effects. Eur. J. Mechanics. B/Fluids, 1996, {\bf 15}, No. 1,
pp. 119-137.
- Vit. Volpert, Vl. Volpert, S. Solovjov, J. Pojman.
Hydrodynamical stability of a polymerization front. Eur. J. Applied
Math., 1996, {\bf 7}, pp. 303-320.
- V.A. Volpert, A.I. Volpert. Wave trains described by monotone
parabolic systems, Nonlinear World, 1996, Vol. 3, pp. 159-181.
- J.M. Roquejoffre, D. Terman, V. Volpert. Global stability of
travelling fronts and convergence towards wave
trains in monotone parabolic systems. SIAM J. Math. Anal., 1996.
- M. Garbey, A. Taik, V. Volpert. Linear stability analysis of reaction
fronts in liquids. Quarterly of Applied Mathematics, 1996, Vol. 54, pp.
225-247.
- A.I. Volpert, V.A. Volpert. The construction of the Leray-Schauder
degree for elliptic
operators in unbounded domains. Annales de l'IHP. Analyse non lineaire,
1994,{\bf 11}, No. 3, pp. 245-273.
- Vit. A. Volpert, Vl. A. Volpert, J. A. Pojman. Influence of heat
expansion on stability of reaction fronts. Chemical Engineering
Science, 1994, Vol. 49, No. 14, pp.
2385-2388.
- Vit. A. Volpert, Vl. A. Volpert. Propagation of frontal
polymerization-crystallization waves. Eur. J. Appl. Math., 1994, Vol.
5, pp. 201-215.
- V.A. Volpert, L.D. Marks, R. Ai. Phase transition in metal oxides
under irradiation. Phase Transition, 1993, {\bf 44}, pp. 235-254.
- V.A. Volpert, L.D. Marks, R. Ai. Phase transition kinetics of
vanadium pentoxide. Surface Science, 1993, {\bf 280}, No. 3, pp. 375 -
382.
- S.E. Solovyov, V. A. Volpert, S.P. Davtyan. Radially symmetric flow
of reacting liquid with changing
viscosity. SIAM J. Appl. Math., 1993, {\bf 53}, No. 4, pp. 907-914.
- V.A. Volpert, A.I. Volpert. Existence and stability of stationary
solutions for a class of parabolic systems. Commun. in Partial Diff.
Equations, 1993, {\bf 18},
No. 12, pp. 2051-2069.
- Vit.A. Volpert, Vl.A. Volpert, S.P. Davtyan, I.N. Megrabova, N.F.
Surkov. Two-dimensional combustion modes in condensed flow. SIAM J.
Appl. Math., 1992, {\bf 52}, No. 2, pp. 368-383.
- V. A. Volpert, N. Elkin. Existence and stability of steady-state
combustion in a flow. J. of Applied Math. and Mechanics, 1992, {\bf
56}, No. 3, pp. 456-460.
- S.E. Solovyov, S.P Davtyan, N.F. Surkov, V.A. Volpert. Hydrodynamical
features of axial symmetric reacting flow of reacting liquid.
Himicheskaya Fizika, 1991, {\bf 10}, No. 10, pp. 1348-1356.
- Vit. A. Volpert, Vl. A. Volpert. Propagation velocity
estimation for condensed phase combustion. SIAM J. Appl. Math.,
1991, {\bf 51, No. 4, pp. 1074-1089.
- S.E. Solovyov, V.A. Volpert. Radially symmetric flow of a viscous
liquid between parallel planes. J. Eng. Phys., 1990, {\bf 59}, No. 1,
pp. 883-888.
- Vit. A. Volpert, Vl. A. Volpert, D. S. Davtyan. Application of
a minimax method in combustion problems. Combustion, Explosion and
Shock Waves, 1990, {\bf 26}, No. 4, pp. 371-376.
- A.I. Volpert, V.A. Volpert. Wave solutions of monotone
parabolic systems. Some applications of functional analysis to problems
of mathematical physics, 1990, {\bf 145}, pp. 49-66. Akad. Nauk SSSR
Sibirsk. Otdel., Inst. Mat., Novosibirsk.
- Vit. A. Volpert, Vl. A. Volpert. Determination of the asymptotics of
the combustion wave velocity by successive approximation, J. Appl.
Mech. Tech. Phys., 1990, {\bf 31}, No. 5, pp. 680-686.
- A.I. Volpert, V.A. Volpert. Stability of waves described by parabolic
systems of equations. In: Boundary value problems for partial
differential equations, Acad. Nauk SSSR, Sibirsk. Otdel., Inst. Mat.,
Novosibirsk, 1990. Ed. S.K.
Godunov, pp. 20-34.
- A.I. Volpert, V.A. Volpert. Applications of the rotation theory of
vector fields to the study of wave solutions of parabolic
equations. Trans. Moscow Math. Soc., 1990, {\bf 52}, pp. 59-108.
- V.A. Volpert, A.I. Volpert. Some mathematical problems of wave
propagation in chemical active media. Khimicheskaya Fizika, 1990, {\bf
9}, No. 8, pp. 1118-1127.
- V.A. Volpert, A.I. Volpert. Existence and stability of waves in
chemical kinetics. Khimicheskaya Fizika, 1990, {\bf 9}, No. 2, pp.
238-245.
- Vit.A. Volpert, Vl.A. Volpert, I.N. Megrabova, S.P.
Davtyan. Two-dimensional combustion conditions in flow. Combustion,
Explosion and Shock Waves, 1990, {\bf 26}, No. 4, pp. 413-417.
- I.N. Megrabova, Vit.A. Volpert, Vl.A. Volpert, S.P. Davtyan.
Two-dimensional chemical reaction regimes in a flow. Doklady Physical
Chemistry, 1989, {\bf 307}, No. 4-6, pp. 618-620.
- V.A. Volpert, A.I. Volpert. Waves of chemical transformations having
complex kinetics. Doklady Physical Chemistry, 1989, {\bf 309}, No. 1,
pp. 125-128.
- V.A. Volpert. Convergence to a wave of solutions of a nonlinear
diffusion equation avec a source of general type. Siberian Math.
Journal, 1989, {\bf 30}, No. 2, pp. 203-210.
- V.A. Volpert. Asymptotic behavior of solutions of a nonlinear
diffusion equation avec a source of general type. Siberian Math.
Journal, 1989, {\bf 30}, No. 1, pp. 25-36.
- A.S. Babadzhanyan, Vl.A. Volpert, S.P. Davtyan, I.N.
Megrabova, Vit. A. Volpert. Stability of frontal regimes for the
occurence of an exothermic reaction with radially symmetric supply of
the reagents. Combustion, Explosion and Shock Waves, 1989, {\bf 25},
No. 1, pp. 23-31.
- V.A. Volpert, A.I. Volpert. Application of the Leray-Schauder method
to the proof of existence
of wave solutions of parabolic systems. Soviet Math. Dokl., 1988, {\bf
37}, No. 1, pp. 138-141.
- A.I. Volpert, V.A. Volpert. Construction of the rotation of a vector
field for operators describing wave solutions of parabolic
systems. Soviet Math. Dokl.,
1988, {\bf 36}, No. 3, pp. 452-455.
- A.S. Babadzhanyan, Vl.A. Volpert, S.P. Davtyan, I.N. Megrabova,
Vit. A. Volpert. Frontal regimes of an exothermic reaction with
radially symmetric injection of reagents. Combustion, Explosion and
Shock Waves, 1988, {\bf 24}, No. 6, pp. 711-719.
- G.V. Zhizhin, A.S. Segal, A.S. Babadzhanyan, S.P. Davtyan, V.A.
Volpert. Steady states of a spherical reaction front in a liquid of
variable viscosity. Kinetics and Catalysis, 1986, {\bf 27}, No. 6, pp.
1136-1140.
- V. Volpert, I.N. Megrabova, S.P. Davtyan. Determination of
combustion and polymerization wave velocity. Combustion, Explosion and
Shock Waves, 1985, {\bf 21}, No. 2, pp.
151-157.
- V. Volpert, I.N. Megrabova, S.P. Davtyan, V.P. Begishev.
Propagation of a caprolactam polymerization wave. Combustion, Explosion
and Shock Waves, 1985, {\bf 21}, No. 4, pp.
441-447.
- V. Volpert, S.P. Davtyan, A.I. Malkin. Some features of the anionic
activated $\epsilon$-caprolactam polymerization under wave propagation
conditions. Doklady Physical Chemistry, 1984, {\bf 29}, No. 2, pp.
1075-1077.
- V. Volpert, S.P. Davtyan. Existence of polymerization wave with
crystallization of original reactant. Doklady Akad. Nauk SSSR, 1983,
{\bf 273}, No. 5, pp. 1155-1158.
- V. Volpert, S.P. Davtyan. The problem of wave existence for the
process of polymerization and crystallization. Doklady Akad. Nauk SSSR,
1983, {\bf 268}, No. 1, pp. 62-65.
Book chapters
- N. Bessonov, J. Pojman, V. Volpert. Modelling of diffuse interfaces
with temperature gradients. In: Thermal and concentrational capillary
effects in complex systems, Ekaterinburg, 2002.
- L. Mirantsev, V. Volpert. Molecular dynamics and mean field approach
for binary liquids. In: Thermal and concentrational capillary effects
in complex systems,
Ekaterinburg, 2002.
- J. Pojman, Vit. Volpert, Vl Volpert, Nonlinear dynamics of SHS-like
process in polymer chemistry. Chapitre dans le livre
\emph{Self-Propagating High-Temperature Synthesis of Materials, eds. A.
A. Borisov, L. T. De Luca, A. G. Merzhanov, Taylor and Francis, 2002.
- V.A. Volpert, A.I. Volpert. Existence and stability of traveling
waves in chemical kinetics. In: Dynamics of chemical and biological
systems, Novosibirsk, Nauka,
1989, pp. 56-131.
Patents
- V.P. Begishev, S.P. Davtjan, N.S. Enikalopov, A.Ya. Malkin, T.V.
Frunze, V.A. Kotelnikov, U.A. Avakjan,
V.A. Volpert. Method of production of block polycaproamid.
Patent No. 1155606 USSR, 1985.
Proceedings
- J. Pojman, S. Popwell, D. Fortenberry, Vi. Volpert, Vl. Volpert.
Nonlinear dynamics in frontal polymerization. In: Nonlinear dynamics in
polymeric systems, J. Pojman, Q. Tran-Cong-Miyata, Eds.
ACS Symposium Series 869, Oxford Univ. Press, pp. 106-120.
- V.Volpert, A.Volpert. Properness and topological degree for
general elliptic operators, Proceedings of the international conference
on fixed-point theory and its applications, Haifa, June 13 - 19 ,2001.
Editor Simeon Reich, Hindavi Publishing Corporation, pp 129-181.
- V. Volpert, A. Volpert. Solvability of general elliptic problems in
H\"older spaces. Proceedings of the 4-th Conference on Elliptic and
Parabolic Problems, Rolduc, 2001.
- J. Pojman, N. Bessonov, R. Texier, V. Volpert, H. Wilke. Numerical
simulations of transient interfacial phenomena in miscible fluids.
Proceedings AIAA, January 2002, Reno, USA.
- J. Pojman, Y. Chekanov, J. Masere, V. Volpert, T. Dumont, H. Wilke.
Effective interfacial tension induced convection in miscible fluids.
Proceedings of the 39th AIAA Aerospace Science Meeting,
January 2001, Reno, USA.
- V. Volpert, C. Barillon, T. Dumont, S. Genieys, M. Massot. Influence
of natural convection on heat explosion. Proceeding of the Third
Seminar on Fire and Explosion Hazards, 2000, Preston.
- J. Pojman, V. Volpert, T. Dumont, et al. Bubble behavior and
convection in frontal polymerization
on the KC-135 aircraft. AIAA Conference, Reno, 2000.
- C. Barillon, G. Makhviladze, V. Volpert. Heat explosion in a
two-phase medium. Proceedings Intern Conf. on Multiphase Flows, Lyon,
1998.
- V. Volpert, A. Volpert. Travelling waves in kinetic-diffusion
systems. Int. Conf. "Unstationary processes in catalysis", Novosibirsk,
1990, pp. 579-584
- V. Volpert, A. Volpert. Combustion with complex kinetics.
Proceedings, Eurofire 95, Nimes, France, 1995 in: Fire
engineering and emergency planning, Ed. R. Barham, pp. 47-54.
- M. Garbey, A. Taik, V. Volpert. Modelization of instabilities
for polymerization fronts.}
Proceedings of ICFD, Oxford, 1995 in: Numerical methods for fluid
dynamics V, Eds. K.W. Morton,
M.J. Baines, pp. 415-422.
- Vit. Volpert, Vl. Volpert, M. Garbey, J. Pojman. Instabilities of
reaction fronts. In: Gas Phase Chemical Reaction Systems, Springer
Series in Chemical Physics, Vol. 61. Eds.: J. Wolfrum. H.-P. Volpp, R.
Rannacher, J.
Warnatz. Springer, 1996, pp. 309-317.
- V. Volpert, A. Volpert. Application of the Leray-Schauder degree to
investigation of
travelling wave solutions of parabolic equations. Proceedings of the
Second Europeen Conference on Elliptic and Parabolic
Problems, Pont-\`a-Mousson, France, 1994. Pitman Research Notes in
Math. Series, Vol. 325,
1994, pp. 224-239.
- V. Volpert, A. Volpert. Multidimensional travelling waves in the
bistable case. Proceedings of the Third Europeen Conference on Elliptic
and Parabolic
Problems, Pont-\`a-Mousson, France, 1997.
- S. Vakulenko, V. Volpert. Complex wave dynamics for
reaction-diffusion systems. "Patterns and Waves", A. Abramian, S.
Vakulenko, V. Volpert, Eds. St. Petersburg, 2003, pp. 221-239.
- M. Belk, V. Volpert. Complex dynamics in a problem of heat
explosion with convection. "Patterns and Waves", A. Abramian, S.
Vakulenko, V. Volpert, Eds. St. Petersburg, 2003, pp. 263-279.
- S. Aristov, N. Bessonov, Yu. Gaponenko, V. Volpert. Interfacial waves
in binary fluids. "Patterns and Waves", A. Abramian, S. Vakulenko, V.
Volpert, Eds. St. Petersburg, 2003, pp. 79-97.
- N. Bessonov, V. Volpert. On a problem of plant growth. "Patterns and
Waves", A. Abramian, S. Vakulenko, V. Volpert, Eds. St. Petersburg,
2003, pp. 323-337.
- N. Bessonov, V. Volpert. On the radial return map algorithm for
simulation of plastic flows. "Patterns and Waves", A. Abramian, S.
Vakulenko, V. Volpert, Eds. St. Petersburg, 2003, pp. 367-385.
- Yu. Gaponenko, V. Volpert. Numerical simulations of convective Turing
structures. "Patterns and Waves", A. Abramian, S. Vakulenko, V.
Volpert, Eds. St. Petersburg, 2003, pp. 292-309.
- L. Mirantsev, V. Volpert. Molecular dynamics simulations of liquid
droplets. "Patterns and Waves", A. Abramian, S. Vakulenko, V. Volpert,
Eds. St. Petersburg, 2003, pp. 403-410.
- R. Texier, V. Volpert. Convective combustion front: an existence
result "Patterns and Waves", A. Abramian, S. Vakulenko, V. Volpert,
Eds. St. Petersburg, 2003, pp. 205-220.