Victor Galaktionov

Prof

  • 6 WEST 1.05

20012018
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  • 2 Similar Profiles
Blow-up Mathematics
Thin Film Equation Mathematics
Nonlinear Dispersion Mathematics
Fourth-order Equations Mathematics
Cauchy Problem Mathematics
Similarity Solution Mathematics
Semilinear Heat Equation Mathematics
Countable Mathematics

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Research Output 2001 2018

Gradient blow-up for a fourth-order quasilinear boussinesq-type equation

Álvarez-Caudevilla, P., Evans, J. D. & Galaktionov, V. A., 1 Aug 2018, In : Discrete and Continuous Dynamical Systems- Series A. 38, 8, p. 3913-3938 26 p.

Research output: Contribution to journalArticle

Wave equations
Blow-up
Fourth Order
Numerical methods
Gradient

Blow-up scaling and global behaviour of solutions of the bi-laplace equation via pencil operators

Álvarez-Caudevilla, P. & Galaktionov, V. A., 1 Jan 2016, In : Communications in Pure and Applied Analysis. 15, 1, p. 261-286 26 p.

Research output: Contribution to journalArticle

Operator Pencil
Upscaling
Laplace equation
Behavior of Solutions
Laplace's equation
1 Citation (Scopus)
47 Downloads (Pure)
Open Access
File
Mountain Pass
Cahn-Hilliard
Semilinear
Fourth Order
Countable
4 Citations (Scopus)

Existence of solutions for a system of coupled nonlinear stationary bi-harmonic Schrödinger equations

Álvarez-Caudevilla, P., Colorado, E. & Galaktionov, V. A., Jun 2015, In : Nonlinear Analysis: Real World Applications. 23, p. 78-93 16 p.

Research output: Contribution to journalArticle

Biharmonic Equation
Semilinear
Schrödinger Equation
Existence of Solutions
Critical point
4 Citations (Scopus)
54 Downloads (Pure)

Global blow-up for a semilinear heat equation on a subspace

Budd, C. J., Dold, J. W. & Galaktionov, V. A., Oct 2015, In : Proceedings of the Royal Society of Edinburgh Section A - Mathematics. 145, 5, p. 893 - 923 31 p.

Research output: Contribution to journalArticle

Open Access
File
Semilinear Heat Equation
Blow-up
Figure
Subspace
Finite Time Blow-up

Thesis

Blow-up and Global Similarity Solutions for Semilinear Third-Order Dispersive PDEs

Author: Koçak, H., 26 Jun 2015

Supervisor: Budd, C. (Supervisor) & Galaktionov, V. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Instabilities in Sixth Order Cahn-Hilliard Type Equations

Author: Boyle, B., 27 Jun 2017

Supervisor: Evans, J. (Supervisor) & Galaktionov, V. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Very singular solutions of odd-order PDEs, with linear and nonlinear dispersion

Author: Fernandes, R., 1 Nov 2008

Supervisor: Galaktionov, V. (Supervisor)

Student thesis: Doctoral ThesisPhD

File