scientific article; zbMATH DE number 818426

zbMath0840.35059MaRDI QIDQ4855773

Serge Alinhac

Publication date: 4 July 1996

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1995_4_22_3_493_0

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zbMATH Keywords

geometric blow-uping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60)

Related Items (9)

Systems of semilinear higher-order evolution inequalities on the Heisenberg group. ⋮ Global existence and energy decay estimate of solutions for a higher-order Kirchhoff type equation with damping and source term ⋮ Global existence and blowup of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation. ⋮ On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations ⋮ Analysis of singularities for one-dimensional quasilinear hyperbolic systems ⋮ On the breakdown of solutions to \(N\times N\) quasilinear hyperbolic systems ⋮ Blow-up and critical exponents for nonlinear hyperbolic equations ⋮ The blow-up rate for strongly perturbed semilinear wave equations in the conformal case ⋮ Formation and construction of shock for \(p\)-system.

Cites Work

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• Compressible fluid flow and systems of conservation laws in several space variables
• Lifespan and blow-up of solutions of the quasilinear wave equations in two dimensions. II
• Description of a shock formation in \(p\)-systems
• Hyperbolic systems of conservation laws II
• Formation of singularities for wave equations including the nonlinear vibrating string
• Formation of singularities in one-dimensional nonlinear wave propagation
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations

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