On the weak solutions and persistence properties for the variable depth KDV general equations
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Publication:1994855
DOI10.1016/j.nonrwa.2018.05.002zbMath1420.35312OpenAlexW2806459605MaRDI QIDQ1994855
Publication date: 2 November 2018
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.05.002
weak solutionpersistence propertygeneralized Gronwall's inequalitiesvariable depth KDV general equations
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)
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The Cauchy problem for shallow water waves of large amplitude in Besov space, Can simple KdV-type equations be derived for shallow water problem with bottom bathymetry?
Cites Work
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- Local well-posedness and persistence properties for the variable depth KDV general equations in Besov space \(B_{2,1}^{\frac {3}{2}}\).
- Well-posedness of the Fornberg-Whitham equation on the circle
- Existence and uniqueness of global weak solutions of the Camassa-Holm equation with a forcing
- Orbital stability of solitary waves of moderate amplitude in shallow water
- A new highly nonlinear shallow water wave equation
- Continuity and asymptotic behaviors for a shallow water wave model with moderate amplitude
- A model containing both the Camassa-Holm and Degasperis-Procesi equations
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation
- On a class of physically important integrable equations
- Wave breaking for nonlinear nonlocal shallow water equations
- The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
- A note on well-posedness for Camassa-Holm equation.
- A few remarks on the Camassa-Holm equation.
- On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Well-posedness and continuity properties of the Fornberg-Whitham equation in Besov spaces
- The local well-posedness, existence and uniqueness of weak solutions for a model equation for shallow water waves of moderate amplitude
- On the solutions of a model equation for shallow water waves of moderate amplitude
- Global conservative solutions for a model equation for shallow water waves of moderate amplitude
- Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude
- On the Cauchy problem for a model equation for shallow water waves of moderate amplitude
- On the low regularity solutions and wave breaking for an equation modeling shallow water waves of moderate amplitude
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- Finite propagation speed for the Camassa–Holm equation
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- Breakdown for the Camassa–Holm Equation Using Decay Criteria and Persistence in Weighted Spaces
- Variable depth KdV equations and generalizations to more nonlinear regimes
- Commutator estimates and the euler and navier-stokes equations
- The initial-value problem for the Korteweg-de Vries equation
- An integrable shallow water equation with peaked solitons
- Compactly Supported Solutions of the Camassa-Holm Equation
- Solitary Traveling Water Waves of Moderate Amplitude
