Self-Similar Blow-Up in Higher-Order Semilinear Parabolic Equations
From MaRDI portal
Publication:4830608
DOI10.1137/S003613990241552XzbMath1112.35095MaRDI QIDQ4830608
No author found.
Publication date: 13 December 2004
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65)
Related Items
B-method approach to blow-up solutions of fourth-order semilinear parabolic equations ⋮ Steady States, Global Existence and Blow-up for Fourth-Order Semilinear Parabolic Equations of Cahn–Hilliard Type ⋮ Singular standing-ring solutions of nonlinear partial differential equations ⋮ The quenching set of a MEMS capacitor in two-dimensional geometries ⋮ Global existence and finite time blow-up for a class of thin-film equation ⋮ Monge-Ampére simulation of fourth order PDEs in two dimensions with application to elastic-electrostatic contact problems ⋮ Global existence and non-existence for a higher-order parabolic equation with time-fractional term ⋮ Analysis of a moving collocation method for one-dimensional partial differential equations ⋮ B-methods for the numerical solution of evolution problems with blow-up solutions. II: Splitting methods ⋮ An asymptotic study of blow up multiplicity in fourth order parabolic partial differential equations ⋮ Non-Radial Very Singular Similarity Solutions of Absorption-Diffusion Equations with Non-Homogeneous Potentials ⋮ On Interfaces and Oscillatory Solutions of Higher‐Order Semilinear Parabolic Equations with Non‐Lipschitz Nonlinearities ⋮ The KPP-problem and \(\log t\)-front shift for higher-order semilinear parabolic equations ⋮ Global Sign-changing Solutions of a Higher Order Semilinear Heat Equation in the Subcritical Fujita Range ⋮ Incomplete Self-Similar Blow-Up in a Semilinear Fourth-Order Reaction-Diffusion Equation ⋮ Three types of self-similar blow-up for the fourth-order \(p\)-Laplacian equation with source ⋮ Classification of Global and Blow-up Sign-changing Solutions of a Semilinear Heat Equation in the Subcritical Fujita Range : Second-order Diffusion ⋮ Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems ⋮ Asymptotically self-similar global solutions for a higher-order semilinear parabolic equation ⋮ Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II ⋮ From nonlinear PDEs to singular ODEs ⋮ Stability and dynamics of self-similarity in evolution equations ⋮ Similarity: Generalizations, applications and open problems ⋮ On blow-up space jets for the Navier–Stokes equations in R3 with convergence to Euler equations ⋮ Adaptivity with moving grids ⋮ Construction of type I blowup solutions for a higher order semilinear parabolic equation ⋮ Very Singular Solutions for Thin Film Equations with Absorption ⋮ Boundary-value problem for a class of nonlinear systems of partial differential equations of higher orders ⋮ Exponential stabilisation and dissipativity analysis of semilinear parabolic systems ⋮ On the solvability of a special boundary value problem in a cylindrical domain for a class of nonlinear systems of partial differential equations
