Výsledky vyhľadávania - "Initial value problems for systems of nonlinear higher-order PDEs"

Globally conservative weak solutions for a class of two-component nonlinear dispersive wave equations beyond wave breaking

Autori: Zhou, Yonghui Li, Xiaowan Ji, Shuguan

Zdroj: Journal of Differential Equations. 427:538-559

Predmety: Initial value problems for systems of nonlinear higher-order PDEs, wave breaking, two-component nonlinear dispersive wave equations, globally conservative solutions, Methods of ordinary differential equations applied to PDEs, Weak solutions to PDEs

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/8017129
https://doi.org/10.1016/j.jde.2025.01.089

Blow-up criteria for a two-component Camassa–Holm type system with cubic nonlinearity: Blow-up criteria for a two-component Camassa-Holm type system with cubic nonlinearity

Autori: Bingqi Li Wenguang Cheng

Zdroj: Monatshefte für Mathematik. 207:83-93

Predmety: Blow-up in context of PDEs, Initial value problems for systems of nonlinear higher-order PDEs, local well-posedness, two-component Camassa-Holm type system with cubic nonlinearity, PDEs in connection with fluid mechanics, blow-up

Popis súboru: application/xml

Low Mach number limit for the global large solutions to the 2D Navier–Stokes–Korteweg system in the critical $$\widehat{L^p}$$ framework: Low Mach number limit for the global large solutions to the 2D Navier-Stokes-Korteweg system in the critical \(\widehat{L^p}\) framework

Autori: Mikihiro Fujii Yang Li

Zdroj: Calculus of Variations and Partial Differential Equations. 64

Predmety: Compressible Navier-Stokes equations, Smoothness and regularity of solutions to PDEs, Initial value problems for systems of nonlinear higher-order PDEs, Navier-Stokes equations for incompressible viscous fluids, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, incompressible Navier-Stokes flow, Critical exponents in context of PDEs, Mathematics - Analysis of PDEs, KdV equations (Korteweg-de Vries equations), FOS: Mathematics, Navier-Stokes equations, compressible Navier-Stokes-Korteweg system, Singular perturbations in context of PDEs, Analysis of PDEs (math.AP)

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2410.08493
https://zbmath.org/7962029
https://doi.org/10.1007/s00526-024-02857-8

Semiclassical states of a type of Dirac–Klein–Gordon equations with nonlinear interacting terms: Semiclassical states of a type of Dirac-Klein-Gordon equations with nonlinear interacting terms

Autori: Yanheng Ding Qi Guo Yuanyang Yu

Zdroj: Partial Differential Equations and Applications. 4

Predmety: Variational methods applied to PDEs, nonlinear interaction term, Soliton solutions, Dirac-Klein-Gordon system, Initial value problems for systems of nonlinear higher-order PDEs, solitary waves, PDEs in connection with optics and electromagnetic theory, semiclassical states

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/7765775
https://doi.org/10.1007/s42985-023-00261-z

On the wave-breaking phenomena and global existence for the periodic rotation-two-component Camassa–Holm system: On the wave-breaking phenomena and global existence for the periodic rotation-two-component Camassa-Holm system

Autori: Byungsoo Moon

Zdroj: Journal of Mathematical Analysis and Applications. 451:84-101

Predmety: Blow-up in context of PDEs, Lyapunov function, geophysical water waves, Initial value problems for systems of nonlinear higher-order PDEs, 0103 physical sciences, 0101 mathematics, 01 natural sciences, nonlocal nonlinearities

Popis súboru: application/xml

Prístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0022247X17301087
https://www.sciencedirect.com/science/article/pii/S0022247X17301087

Solitary wave solutions of the generalized two-component Hunter–Saxton system: Solitary wave solutions of the generalized two-component Hunter-Saxton system

Autori: Byungsoo Moon

Zdroj: Nonlinear Analysis: Theory, Methods & Applications. 89:242-249

Predmety: peaked solitons, Soliton solutions, Hunter–Saxton system, Initial value problems for systems of nonlinear higher-order PDEs, Applied Mathematics, Existence problems for PDEs: global existence, local existence, non-existence, Generalized two-component, cusped solitons, 0101 mathematics, Solitary waves, smooth solitons, 01 natural sciences, Analysis

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/6251825
https://doi.org/10.1016/j.na.2013.05.004
https://core.ac.uk/display/82359471
https://www.sciencedirect.com/science/article/pii/S0362546X13001466
https://www.sciencedirect.com/science/article/abs/pii/S0362546X13001466

zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Autori: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Predmety: KdV equations (Korteweg-de Vries equations), Smoothness and regularity of solutions to PDEs, Asymptotic behavior of solutions to PDEs, Initial value problems for systems of nonlinear higher-order PDEs, Analyticity in context of PDEs, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Continuation and prolongation of solutions to PDEs

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/5040856