Global existence and blow-up for the classical solutions of the long-short wave equations with viscosity
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Publication:2244393
DOI10.1155/2021/7211126zbMath1486.35062OpenAlexW3209899318MaRDI QIDQ2244393
Publication date: 12 November 2021
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/7211126
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44)
Cites Work
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- Investigating lump and its interaction for the third-order evolution equation arising propagation of long waves over shallow water
- Existence of local strong solutions for a quasilinear Benney system
- Global existence and blowup for sign-changing solutions of the nonlinear heat equation
- Interaction equations for short and long dispersive waves
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case
- A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case
- On a pseudo-parabolic equations with a non-local term of the Kirchhoff type with random Gaussian white noise
- Asymptotic profiles of solutions for regularity-loss-type generalized thermoelastic plate equations and their applications
- Nonexistence of global solutions for the semilinear Moore - Gibson - Thompson equation in the conservative case
- Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part
- Blowup stability of solutions of the nonlinear heat equation with a large life span
- Cauchy problem for thermoelastic plate equations with different damping mechanisms
- Estimates for the linear viscoelastic damped wave equation on the Heisenberg group
- Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
- EXISTENCE OF WEAK SOLUTIONS FOR A QUASILINEAR VERSION OF BENNEY EQUATIONS
- The Lifespan for Nonlinear Wave Equation Outside of Star-Shaped Obstacle in Three Space Dimensions
- Concerning the Strauss Conjecture and Almost Global Existence for Nonlinear Dirichlet-Wave Equations in 4-Dimensions
- Global Existence, Large Time Behavior and Life Span of Solutions of a Semilinear Parabolic Cauchy Problem
- On two-dimensional packets of capillary-gravity waves
- A General Theory for Interactions Between Short and Long Waves
- Blowup and Life Span of Solutions for a Semilinear Parabolic Equation
- Well-posedness of the cauchy problem for the long wave-short wave resonance equations
- Weakly coupled systems of semilinear elastic waves with different damping mechanisms in 3D
- On a nonlocal problem for a Caputo time‐fractional pseudoparabolic equation
- Decay properties and asymptotic profiles for elastic waves with Kelvin–Voigt damping in 2D
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