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[PDF] Top 20 Global existence, blow up and asymptotic decay for some hyperbolic systems

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Global existence, blow up and asymptotic decay for some hyperbolic systems

Global existence, blow up and asymptotic decay for some hyperbolic systems

... Our result extends these previous results where we proved a global nonexistence of the solutions of a system of wave equations with viscoelastic term, degenerate damping, and strong nonl[r] ... Voir le document complet

94

On critical and supercritical blow-up for the semilinear heat and wave equations

On critical and supercritical blow-up for the semilinear heat and wave equations

... wave and heat equations have been a subject of study for a long ...problem for weak solutions attracted the attention of mathematicians starting from the second half of the twentieth ...of ... Voir le document complet

506

Global existence and stability for some hyperbolic systems

Global existence and stability for some hyperbolic systems

... ) and ( 1.72 ), under appropriate assumptions and we study the exponential decay of two cases of dissipative system based on the recent works by Almeida J´unior et ...] and Feng in [ 40 ], we ... Voir le document complet

105

Blow-up and global existence for a kinetic equation of swarm formation

Blow-up and global existence for a kinetic equation of swarm formation

... (1) and (2) in case of σ = 1 and γ > ...possible blow–ups and global existence in the space homogeneous case for variable interacting ...results for the nonlo- ... Voir le document complet

25

The decay property of regularity-loss type of solutions of some hyperbolic and hyperbolic/parabolic systems

The decay property of regularity-loss type of solutions of some hyperbolic and hyperbolic/parabolic systems

... This hyperbolic-parabolic system is interesting due to its large applications in mechanics, physics and engineering ...local existence, global existence, well-posedeness, and ... Voir le document complet

102

Existence of weak solutions up to collision for viscous fluid-solid systems with slip

Existence of weak solutions up to collision for viscous fluid-solid systems with slip

... solid and the domain boundary. We prove for this model existence of weak solutions of Leray type, up to collision, in three ...obtaining global H 1 bounds on the velocity, which makes ... Voir le document complet

46

Hyperbolic systems in diagonal form with dissipation,in several spaces variables: existence and uniqueness results

Hyperbolic systems in diagonal form with dissipation,in several spaces variables: existence and uniqueness results

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

19

Oscillatory Behavior near Blow-up of the Solutions to Some Nonlinear Singular Second Order ODE's

Oscillatory Behavior near Blow-up of the Solutions to Some Nonlinear Singular Second Order ODE's

... b and u 0 6= 0 in (a, ...sign for t = a and t = b, which implies that (|u 0 | l u 0 ) 0 have opposite signs on (a, a + η) and (b − η, b) for η > 0 small enough, a contradiction with ... Voir le document complet

17

Nash equilibrium existence for some discontinuous games

Nash equilibrium existence for some discontinuous games

... Abstract Answering to an open question of Herings et al. (see [3]), one ex- tends their fixed point theorem to mappings defined on convex com- pact subset of R n , and not only polytopes. Such extension is impor- ... Voir le document complet

10

STRONGLY INTERACTING BLOW UP BUBBLES FOR THE MASS CRITICAL NLS

STRONGLY INTERACTING BLOW UP BUBBLES FOR THE MASS CRITICAL NLS

... 2 for sim- plicity, but similar results hold for the mass critical (NLS) equation in any space dimension with same ...proof. For the mass subcritical and supercritical nonlinear Schrödinger ... Voir le document complet

33

Universality of the blow-up profile for small type II blow-up solutions of energy-critical wave equation: the non-radial case

Universality of the blow-up profile for small type II blow-up solutions of energy-critical wave equation: the non-radial case

... . For more comments about this type of result we refer to the introduction of ...analogue for the energy-critical wave equation of the result of [MR05] about the mass-critical nonlinear Schr¨ odinger ... Voir le document complet

56

Sign-changing blow-up for scalar curvature type equations

Sign-changing blow-up for scalar curvature type equations

... [25] and Druet– Hebey–V´etois [15] for n = ...[27] and Pistoia–V´etois [29] proved that if h is above cn Scalg somewhere, then, under some some nondegeneracy assumption, equation (1) is ... Voir le document complet

28

From Kinetic Theory of Multicellular Systems to Hyperbolic Tissue Equations: Asymptotic Limits and Computing

From Kinetic Theory of Multicellular Systems to Hyperbolic Tissue Equations: Asymptotic Limits and Computing

... the asymptotic limit toward the derivation of macroscopic equations for a class of equations modeling complex multicellular systems by methods of the kinetic ...time and space, a ... Voir le document complet

25

Global smooth solution of Cauchy problems for a class of quasilinear hyperbolic systems

Global smooth solution of Cauchy problems for a class of quasilinear hyperbolic systems

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

19

ON STRONGLY ANISOTROPIC TYPE I BLOW UP

ON STRONGLY ANISOTROPIC TYPE I BLOW UP

... boundary and the construction of the reconnecting profiles, Lemma ...derived for the ODE blow up problem in [1] using explicit re- solvent estimates for the linearized flow near the ... Voir le document complet

46

Wave decay on convex co-compact hyperbolic manifolds

Wave decay on convex co-compact hyperbolic manifolds

... sheet for the resolvent R(λ) := (∆ − λ(n − λ)) −1 is {Re(λ) > n/2}) this last fact has been proved by Patterson [29] using Poincar´e series and Patterson-Sullivan ...surfaces) and Stoyanov [36] ... Voir le document complet

20

Asymptotic high order mass-preserving schemes for a hyperbolic model of chemotaxis

Asymptotic high order mass-preserving schemes for a hyperbolic model of chemotaxis

... x and the final scheme is really third order in our numerical ...see for instance [16] or for the specific case of hyperbolic chemotaxis prob- lems, see ...the Asymptotic High Order ... Voir le document complet

24

Minimal mass blow up solutions for a double power nonlinear Schrödinger equation

Minimal mass blow up solutions for a double power nonlinear Schrödinger equation

... minimal blow up ...isometry and automatically induces minimal elements with non trivial ...the global behavior of the minimal element for negative time, which is poorly understood in ... Voir le document complet

28

Asymptotics for the blow-up boundary solution of the logisticequation with absorption

Asymptotics for the blow-up boundary solution of the logisticequation with absorption

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

8

Design of asymptotic preserving schemes for the hyperbolic heat equation on unstructured meshes

Design of asymptotic preserving schemes for the hyperbolic heat equation on unstructured meshes

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

2

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