Research Output per year

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

- 1 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 journal › Article

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 journal › Article

Operator Pencil

Upscaling

Laplace equation

Behavior of Solutions

Laplace's equation

1
Citation
(Scopus)

### Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation I. Mountain pass and Lusternik-Schnirel’man patterns in R^{N}

Álvarez-Caudevilla, P., Evans, J. D. & Galaktionov, V. A., 1 Dec 2016, In : Boundary Value Problems. 2016, 1, 171.Research output: Contribution to journal › Article

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 journal › Article

Biharmonic Equation

Semilinear

Schrödinger Equation

Existence of Solutions

Critical point

4
Citations
(Scopus)

### 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 journal › Article

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 2015Supervisor: Budd, C. (Supervisor) & Galaktionov, V. (Supervisor)

Student thesis: Doctoral Thesis › PhD

File

## Instabilities in Sixth Order Cahn-Hilliard Type Equations

Author: Boyle, B., 27 Jun 2017Supervisor: Evans, J. (Supervisor) & Galaktionov, V. (Supervisor)

Student thesis: Doctoral Thesis › PhD

File

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

Author: Fernandes, R., 1 Nov 2008Supervisor: Galaktionov, V. (Supervisor)

Student thesis: Doctoral Thesis › PhD

File