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1

Wave equation with -Laplacian and damping term: Blow-up of solutions

Stanislav Antontsev

Journal:

Comptes Rendus Mécanique

Year:

2011

Language:

english

File:

PDF, 134 KB

english, 2011

2

Vanishing solutions of anisotropic parabolic equations with variable nonlinearity

S. Antontsev, S. Shmarev

Journal:

Journal of Mathematical Analysis and Applications

Year:

2010

Language:

english

File:

PDF, 329 KB

english, 2010

3

Singular Perturbations of Forward-Backwardp-Parabolic Equations

Antontsev, S. N., Kuznetsov, I. V.

Journal:

Journal of Elliptic and Parabolic Equations

Year:

2016

Language:

english

File:

PDF, 348 KB

english, 2016

4

-Laplace operator: Blow up of solutions with negative initial energy

Antontsev, S., Ferreira, J.

Journal:

Nonlinear Analysis: Real World Applications

Year:

2021

File:

PDF, 3.63 MB

2021

5

Blow-up of solutions to parabolic equations with nonstandard growth conditions

S. Antontsev, S. Shmarev

Journal:

Journal of Computational and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 410 KB

english, 2010

6

Γ-convergence and homogenization of functionals in Sobolev spaces with variable exponents

B. Amaziane, S. Antontsev, L. Pankratov, A. Piatnitski

Journal:

Journal of Mathematical Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 165 KB

english, 2008

7

[Handbook of Differential Equations: Stationary Partial Differential Equations] Volume 3 || Chapter 1 Elliptic equations with anisotropic nonlinearity and nonstandard growth conditions

Antontsev, Stanislav

Year:

2006

Language:

english

File:

PDF, 3.63 MB

english, 2006

8

The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup

Antontsev, S. N., Chipot, M.

Journal:

SIAM Journal on Mathematical Analysis

Year:

1994

Language:

english

File:

PDF, 1.68 MB

english, 1994

9

Energy Methods in Continuum Mechanics || Minimal Energy for a Free Ball on an Elastic Membrane

Antontsev, S. N., Díaz, J. I., Shmarev, S. I.

Year:

1996

Language:

english

File:

PDF, 535 KB

english, 1996

10

Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions

Antontsev, Stanislav, Chipot, Michel, Shmarev, Sergey

Journal:

Communications on Pure and Applied Analysis

Year:

2012

Language:

english

File:

PDF, 479 KB

english, 2012

11

Elliptic equations with triple variable nonlinearity

Antontsev, Stanislav, Shmarev, Sergey

Journal:

Complex Variables and Elliptic Equations

Year:

2011

Language:

english

File:

PDF, 268 KB

english, 2011

12

[Atlantis Studies in Differential Equations] Evolution PDEs with Nonstandard Growth Conditions Volume 4 ||

Antontsev, Stanislav, Shmarev, Sergey

Year:

2015

Language:

english

File:

PDF, 4.08 MB

english, 2015

13

A reaction–diffusion model for the non-local coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions

Almeida, Rui M. P., Antontsev, Stanislav N., Duque, José C. M., Ferreira, Jorge

Journal:

IMA Journal of Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 193 KB

english, 2016

14

Kelvin-Voight equation with p-Laplacian and damping term: existence, uniqueness and blow-up

Antontsev, S.N., Khompysh, Kh.

Journal:

Journal of Mathematical Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 394 KB

english, 2016

15

On the finite element method for a nonlocal degenerate parabolic problem

Almeida, Rui M.P., Antontsev, Stanislav N., Duque, José C.M.

Journal:

Computers & Mathematics with Applications

Year:

2017

Language:

english

File:

PDF, 1.41 MB

english, 2017

16

A free-boundary problem for Stokes equations: classical solutions

Antontsev, Stanislav, Mendes, Deolinda Isabel, Yurinsky, Vadim

Journal:

Interfaces and Free Boundaries

Year:

2000

Language:

english

File:

PDF, 117 KB

english, 2000

17

Space and time localization in the flow of two immiscible fluids through a porous medium: energy methods applied to systems

S.N. Antontsev, J.I. Díaz

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1991

Language:

english

File:

PDF, 904 KB

english, 1991

18

Elliptic equations and systems with nonstandard growth conditions: Existence, uniqueness and localization properties of solutions

Stanislav Antontsev, Sergei Shmarev

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2006

Language:

english

File:

PDF, 492 KB

english, 2006

19

Localization of solutions of anisotropic parabolic equations

Stanislav Antontsev, Sergey Shmarev

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2009

Language:

english

File:

PDF, 357 KB

english, 2009

20

Homogenization of a class of nonlinear elliptic equations with nonstandard growth

Brahim Amaziane, Stanislav Antontsev, Leonid Pankratov

Journal:

Comptes Rendus Mécanique

Year:

2007

File:

PDF, 151 KB

2007

21

Parabolic equations with double variable nonlinearities

S. Antontsev, S. Shmarev

Journal:

Mathematics and Computers in Simulation

Year:

2011

Language:

english

File:

PDF, 225 KB

english, 2011

22

A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions

S.N. Antontsev, S.I. Shmarev

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2005

Language:

english

File:

PDF, 322 KB

english, 2005

23

On the confinement of a viscous fluid by means of a feedback external field

S.N Antontsev, J.I Dı́az, H.B de Oliveira

Journal:

Comptes Rendus Mécanique

Year:

2002

File:

PDF, 66 KB

2002

24

Energy method and localization of solutions of equations of continuum mechanics

S. N. Antontsev, J. I. Diaz

Journal:

Journal of Applied Mechanics and Technical Physics

Year:

1989

Language:

english

File:

PDF, 648 KB

english, 1989

25

Finite rate of propagation of perturbations in multidimensional problems of two-phase filtration

S. N. Antontsev

Journal:

Journal of Mathematical Sciences

Year:

1983

Language:

english

File:

PDF, 359 KB

english, 1983

26

Analysis of blowup for the thermistor problem

S. N. Antontsev, M. Chipot

Journal:

Siberian Mathematical Journal

Year:

1997

Language:

english

File:

PDF, 1.16 MB

english, 1997

27

Stopping a viscous fluid by a feedback dissipative field: I. The stationary stokes problem

S. N. Antontsev, J. I. Díaz, H. B. de Oliveira

Journal:

Journal of Mathematical Fluid Mechanics

Year:

2004

Language:

english

File:

PDF, 994 KB

english, 2004

28

Smooth interface in a two-component Stokes flow

S. N. Antontsev, A. M. Meirmanov, V. A. Solonnikov

Journal:

Annali dell'Universita di Ferrara

Year:

2001

Language:

english

File:

PDF, 537 KB

english, 2001

29

On gradient estimates and other qualitative properties of solutions of nonlinear non autonomous parabolic systems

S. Antontsev, J. I. Díaz

Journal:

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas

Year:

2009

Language:

english

File:

PDF, 356 KB

english, 2009

30

Stopping a Viscous Fluid by a Feedback Dissipative Field: I. The Stationary Stokes Problem

S. N. Antontsev, J. I. Díaz, H. B. de Oliveira

Journal:

Journal of Mathematical Fluid Mechanics

Year:

2004

Language:

english

File:

PDF, 254 KB

english, 2004

31

Non-Existence of Global Solutions For a Quasilinear Benney System

S. Antontsev, J. P. Dias, M. Figueira, F. Oliveira

Journal:

Journal of Mathematical Fluid Mechanics

Year:

2011

Language:

english

File:

PDF, 181 KB

english, 2011

32

Erratum to: Non-Existence of Global Solutions For a Quasilinear Benney System

S. Antontsev, J. P. Dias, M. Figueira, F. Oliveira

Journal:

Journal of Mathematical Fluid Mechanics

Year:

2011

Language:

english

File:

PDF, 55 KB

english, 2011

33

On the Coupling Between Channel Level and Surface Ground-Water Flows

S. N. Antontsev, J. I. Díaz

Journal:

Pure and Applied Geophysics

Year:

2008

Language:

english

File:

PDF, 443 KB

english, 2008

34

Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity

S. N. Antontsev, S. I. Shmarev

Journal:

Journal of Mathematical Sciences

Year:

2008

Language:

english

File:

PDF, 164 KB

english, 2008

35

On Localization of Solutions of Elliptic Equations with Nonhomogeneous Anisotropic Degeneracy

S. N. Antontsev, S. I. Shmarev

Journal:

Siberian Mathematical Journal

Year:

2005

Language:

english

File:

PDF, 244 KB

english, 2005

36

On stationary thermo-rheological viscous flows

Stanislav N. Antontsev, José F. Rodrigues

Journal:

Annali dell'Universita di Ferrara

Year:

2006

Language:

english

File:

PDF, 217 KB

english, 2006

37

Homogenization of p-Laplacian in perforated domain

B. Amaziane, S. Antontsev, L. Pankratov, A. Piatnitski

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2009

File:

PDF, 317 KB

2009

38

Elliptic boundary value problems with nonstandard growth conditions

S. Antontsev, L. Consiglieri

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2009

Language:

english

File:

PDF, 682 KB

english, 2009

39

Euler equations with non-homogeneous Navier slip boundary conditions

N.V. Chemetov, S.N. Antontsev

Journal:

Physica D: Nonlinear Phenomena

Year:

2008

Language:

english

File:

PDF, 369 KB

english, 2008

40

Extinction of solutions of parabolic equations with variable anisotropic nonlinearities

S. Antontsev, S. Shmarev

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2008

Language:

english

File:

PDF, 1.36 MB

english, 2008

41

On the blow-up of solutions to anisotropic parabolic equations with variable nonlinearity

S. Antontsev, S. Shmarev

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2010

Language:

english

File:

PDF, 1.32 MB

english, 2010

42

Mathematical treatment of the discharge of a laminar hot gas in a stagnant colder atmosphere

S. N. Antontsev, J. I. Díaz

Journal:

Journal of Applied Mechanics and Technical Physics

Year:

2008

Language:

english

File:

PDF, 179 KB

english, 2008

43

The Oberbeck–Boussinesq problem modified by a thermo-absorption term

S.N. Antontsev, H.B. de Oliveira

Journal:

Journal of Mathematical Analysis and Applications

Year:

2011

Language:

english

File:

PDF, 238 KB

english, 2011

44

A class of electromagnetic -curl systems: Blow-up and finite time extinction

Stanislav Antontsev, Fernando Miranda, Lisa Santos

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2012

Language:

english

File:

PDF, 297 KB

english, 2012

45

Time of complete displacement of an immiscible compressible fluid by water in porous media: Application to gas migration in a deep nuclear waste repository

B. Amaziane, S. Antontsev, L. Pankratov

Journal:

Nonlinear Analysis: Real World Applications

Year:

2012

Language:

english

File:

PDF, 235 KB

english, 2012

46

Homogenization of Immiscible Compressible Two-Phase Flow in Porous Media: Application to Gas Migration in a Nuclear Waste Repository

Amaziane, B., Antontsev, S., Pankratov, L., Piatnitski, A.

Journal:

Multiscale Modeling and Simulation

Year:

2010

Language:

english

File:

PDF, 318 KB

english, 2010

47

Energy Methods in Continuum Mechanics || On the Boundary Layer for Dilatant Fluids

Antontsev, S. N., Díaz, J. I., Shmarev, S. I.

Year:

1996

Language:

english

File:

PDF, 791 KB

english, 1996

48

Energy Methods in Continuum Mechanics || Quasilinear Parabolic Equations with Non-Isotropic Nonlinearities: Space and Time Localization

Antontsev, S. N., Díaz, J. I., Shmarev, S. I.

Year:

1996

Language:

english

File:

PDF, 848 KB

english, 1996

49

Energy Methods in Continuum Mechanics || Energy Methods for Higher Order Elliptic and Parabolic Problems

Antontsev, S. N., Díaz, J. I., Shmarev, S. I.

Year:

1996

Language:

english

File:

PDF, 562 KB

english, 1996

50

Energy Methods in Continuum Mechanics || The Boundary-Layer Problems for Some Models of Channel and Filtration Flows of a Viscous Compressible Fluid

Antontsev, S. N., Díaz, J. I., Shmarev, S. I.

Year:

1996

Language:

english

File:

PDF, 1.15 MB

english, 1996

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