The IVP for the evolution equation of wave fronts in chemical reactions in low-regularity Sobolev spaces

DOI10.1007/s00028-020-00608-8zbMath1462.35160OpenAlexW3080347563MaRDI QIDQ2021735

Alysson Cunha, Eduardo Alarcon

Publication date: 27 April 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-020-00608-8

zbMATH Keywords

local and global well-posedness

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Initial value problems for second-order parabolic equations (35K15)

Cites Work

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• The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in low regularity Sobolev spaces
• The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in weighted Sobolev spaces
• Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains
• Sharp well-posedness results for the Kuramato-Velarde equation
• Global attractor for weakly damped nonlinear Schrödinger equations in \(L^2(\mathbb R)\)
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Derivation of a nonlinear front evolution equation for chemical waves involving convection
• Periodic Korteweg-de Vries equation with measures as initial data
• The initial-value problem for the generalized Burger's equation
• A note on local well-posedness of generalized KdV type equations with dissipative perturbations
• On the Korteweg-de Vries-Kuramoto-Sivashinsky equation
• The IVP for a nonlocal perturbation of the Benjamin-Ono equation in classical and weighted Sobolev spaces
• Ill-posedness results for the (generalized) Benjamin-Ono-Zakharov-Kuznetsov equation
• Commutator estimates and the euler and navier-stokes equations
• Existence and finite dimensionality of the global attractor for a class of nonlinear dissipative equations
• Nonuniqueness and Uniqueness in the Initial-Value Problem for Burgers’ Equation
• Remark on the local ill-posedness for KdV equation
• Sharp local well-posedness of KdV type equations with dissipative perturbations
• The existence of global attractors for a class of nonlinear dissipative evolution equations