Found 339 Documents (Results 1–100)
A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system. (English) Zbl 07896654
An implicit-explicit relaxation extrapolated Runge-Kutta and energy-preserving Finite element method for Klein-Gordon-Schrödinger equations. (English) Zbl 07861507
Efficient and unconditionally energy stable exponential-SAV schemes for the phase field crystal equation. (English) Zbl 07834022
Global existence and decay estimates of the classical solution to the compressible Navier-Stokes-Smoluchowski equations in \(\mathbb{R}^3\). (English) Zbl 1534.35330
Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-magnetohydrodynamics system of equations. (English) Zbl 1528.76046
Unconditionally energy-stable discontinuous Galerkin method for the chemo-repulsion-Navier-Stokes system. (English) Zbl 1538.65397
Optimal error estimates of SAV Crank-Nicolson finite element method for the coupled nonlinear Schrödinger equation. (English) Zbl 07766141
Effects of topological defects and AB fields on the thermal properties, persistent currents and energy spectra with an exponential-type pseudoharmonic potential. (English) Zbl 1532.81025
Error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system. (English) Zbl 1523.65075
Reviewer: Abdallah Bradji (Annaba)
Lower semicontinuity and pointwise behavior of supersolutions for some doubly nonlinear nonlocal parabolic \(p\)-Laplace equations. (English) Zbl 1521.35113
Small Knudsen rate of convergence to contact wave for the Landau equation. (English. French summary) Zbl 1518.35589
An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows. (English) Zbl 1518.35562
Fully discrete discontinuous Galerkin numerical scheme with second-order temporal accuracy for the hydrodynamically coupled lipid vesicle model. (English) Zbl 1517.35188
Unconditionally energy-stable finite element scheme for the chemotaxis-fluid system. (English) Zbl 1517.35185
Numerical analysis of energy stable weak Galerkin schemes for the Cahn-Hilliard equation. (English) Zbl 1505.65270
Existence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditions. (English) Zbl 1510.35372
Finite time extinction for a critically damped Schrödinger equation with a sublinear nonlinearity. (English) Zbl 1501.35363
Some \(L^Q(\mathbb{R})\)-norm decay estimates (\(Q \in[1,+\infty ]\)) for two Cauchy systems of type Rao-Nakra sandwich beam with a frictional damping or an infinite memory. (English) Zbl 07919255
Well-posedness and general decay of solutions for a Petrovsky equation with a memory term. (English) Zbl 1524.35079
Semi-implicit, unconditionally energy stable, stabilized finite element method based on multiscale enrichment for the Cahn-Hilliard-Navier-Stokes phase-field model. (English) Zbl 1524.76142
A remark on the well-posedness for a system of quadratic derivative nonlinear Schrödinger equations. (English) Zbl 1498.35503
Some local properties of subsolution and supersolutions for a doubly nonlinear nonlocal \(p\)-Laplace equation. (English) Zbl 1495.35052
Boundary-value problem for the Aller-Lykov nonlocal moisture transfer equation. (English. Russian original) Zbl 1491.35431
J. Math. Sci., New York 260, No. 3, 300-306 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 167, 27-33 (2019).
Strongly generalized solution of a fractional problem of parabolic evolution of order-two in a plate with integral boundary conditions. (English) Zbl 1499.35632
A priori estimate and numerical study of solution for a parabolic equation with nonlinear integral condition. (English) Zbl 1489.35161
The time-fractional Cahn-Hilliard equation: analysis and approximation. (English) Zbl 1497.65158
Reviewer: Abdallah Bradji (Annaba)
Unconditional stability and optimal error estimates of a Crank-Nicolson Legendre-Galerkin method for the two-dimensional second-order wave equation. (English) Zbl 1529.65075
Optimal convergence rates to diffusion waves for solutions of \(p\)-system with damping on quadrant. (English) Zbl 1485.35066
Nonlinear stability of rarefaction waves for a hyperbolic system with Cattaneo’s law. (English) Zbl 1500.35031
Optimal \(L^p\)-\(L^q\)-type decay rates of solutions to the three-dimensional nonisentropic compressible Euler equations with relaxation. (English) Zbl 1481.35069
Global existence and blowup in infinite time for a fourth order wave equation with damping and logarithmic strain terms. (English) Zbl 1480.35045
Effect of the wave speeds on the decay rate of the thermoelastic structure in the whole line with interfacial slip. (English) Zbl 1479.35097
Global dynamics of a chemotaxis model with signal-dependent diffusion and sensitivity. (English) Zbl 1478.35046
Global existence and decay rates of the solutions for a chemotaxis system with Lotka-Volterra type model for chemoattractant and repellent. (English) Zbl 1486.35394
The Vlasov-Maxwell-Fokker-Planck system near Maxwellians in \(\mathbb{R}^3\). (English) Zbl 1470.35354
Constructing a variational quasi-reversibility method for a Cauchy problem for elliptic equations. (English) Zbl 1512.65086
High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. (English) Zbl 1477.65254
About convergence of difference schemes for a third-order pseudo-parabolic equation with nonlocal boundary value condition. (English) Zbl 1473.65266
On a new spatial discretization for a regularized 3D compressible isothermal Navier-Stokes-Cahn-Hilliard system of equations with boundary conditions. (English) Zbl 1475.65063
Reviewer: Kanakadurga Sivakumar (Chennai)
The sharp time decay rate of the isentropic Navier-Stokes system in \(\mathbb{R}\). (English) Zbl 1460.35252
A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations. (English) Zbl 1456.65124
Error estimates for second-order SAV finite element method to phase field crystal model. (English) Zbl 1456.65126
Global versions of the Gagliardo-Nirenberg-Sobolev inequality and applications to wave and Klein-Gordon equations. (English) Zbl 1455.35003
Existence and blow up time estimate for a negative initial energy solution of a nonlinear Cauchy problem. (English) Zbl 1462.35096
Behavior of blow-up solutions for quasilinear parabolic equations. (English. Ukrainian original) Zbl 1448.35057
J. Math. Sci., New York 249, No. 5, 804-816 (2020); translation from Ukr. Mat. Visn. 17, No. 2, 278-295 (2020).
Study of a chemo-repulsion model with quadratic production. II: Analysis of an unconditionally energy-stable fully discrete scheme. (English) Zbl 1447.65075
Global existence and large time behavior for the chemotaxis-shallow water system in a bounded domain. (English) Zbl 1448.35413
Convergence and error estimates for a finite difference scheme for the multi-dimensional compressible Navier-Stokes system. (English) Zbl 1466.65075
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. (English) Zbl 1442.65294
Half space problem of the system of compressible adiabatic flow through porous media in multi-D. (English) Zbl 1442.35330
Stability of a coupled wave-Klein-Gordon system with quadratic nonlinearities. (English) Zbl 1471.35032
On short-time bilinear Strichartz estimates and applications to the Shrira equation. (English) Zbl 1442.35051
Stability analysis and error estimates of local discontinuous Galerkin methods with semi-implicit spectral deferred correction time-marching for the Allen-Cahn equation. (English) Zbl 1436.65145
Global existence and asymptotic dynamics in a 3D fractional chemotaxis system with singular sensitivity. (English) Zbl 1436.35045
Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity. (English) Zbl 1441.35036
Method of energy estimates for the study of a behavior of weak solutions of the equation of slow diffusion with singular boundary data. (English. Ukrainian original) Zbl 1436.35224
J. Math. Sci., New York 244, No. 1, 95-103 (2020); translation from Ukr. Mat. Visn. 16, No. 2, 277-288 (2019).
A time-dependent interaction problem between an electromagnetic field and an elastic body. (English) Zbl 1447.35309
A constrained variational problem of Kirchhoff type equation with ellipsoid-shaped potential. (Chinese. English summary) Zbl 1449.35196
Optimal error estimates of the local discontinuous Galerkin method for the two-dimensional sine-Gordon equation on Cartesian grids. (English) Zbl 1427.65214
A convergent adaptive finite element method for elliptic Dirichlet boundary control problems. (English) Zbl 1464.65174
IMA J. Numer. Anal. 39, No. 4, 1985-2015 (2019); corrigendum ibid. 40, No. 1, 800 (2020).
Asymptotic stability of rarefaction waves for a hyperbolic system of balance laws. (English) Zbl 1421.35214
Formal duality in finite cyclic groups. (English) Zbl 1415.43004
Reviewer: Marcel G. de Bruin (Heemstede)
Analysis of a fully discrete finite element method for the Maxwell-Schrödinger system in the Coulomb gauge. (English) Zbl 1412.65151
High-order energy and linear momentum conserving methods for the Klein-Gordon equation. (English) Zbl 1515.65261
Error estimates of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime. (English) Zbl 1477.65141
Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes. (English) Zbl 1402.65135
Reviewer: Rolf Dieter Grigorieff (Berlin)
Second order unconditionally convergent and energy stable linearized scheme for MHD equations. (English) Zbl 1388.76159
Unconditional and optimal \(H^2\)-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions. (English) Zbl 1448.65122
Local decay for the damped wave equation in the energy space. (English) Zbl 1395.35035
Reviewer: Claudia Simionescu-Badea (Wien)
Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. II. (English) Zbl 1383.35057
Optimal decay estimates of a regularity-loss type system with constraint condition. (English) Zbl 1391.35063
Reviewer: Michael Reissig (Freiberg)
A priori estimate of the solution of the analogue of the second boundary-value problem for the generalized third-order equation with short characteristics. (Russian. English summary) Zbl 1407.35145
Finite-difference method for solving Tricomi problem for the Lavrent’ev-Bitsadze equation. (Russian. English summary) Zbl 1413.65320
Remarks on the decay rate of the energy for damped modified Boussinesq-Beam equations on the 1-D half line. (English) Zbl 1382.35039
On a nonlinear third-order equation. (English. Russian original) Zbl 1380.35061
Math. Notes 102, No. 1, 3-11 (2017); translation from Mat. Zametki 102, No. 1, 6-16 (2017).
Well-posedness of the Cahn-Hilliard equation with fractional free energy and its Fourier Galerkin approximation. (English) Zbl 1422.65219
Decay estimates of solutions to the bipolar non-isentropic compressible Euler-Maxwell system. (English) Zbl 1380.82047
Reviewer: Oleg A. Sinkevich (Moskva)
Additive equations in dense variables via truncated restriction estimates. (English) Zbl 1400.11025
Reviewer: Damaris Schindler (Utrecht)
Decay rate of solutions to Timoshenko system with past history in unbounded domains. (English) Zbl 1378.35297
Reviewer: Adina Chirila (Brasov)
Optimal energy-conserving local discontinuous Galerkin method for the one-dimensional sine-Gordon equation. (English) Zbl 1367.65139
Reviewer: Abdallah Bradji (Annaba)
Asymptotic stability of stationary solutions for magnetohydrodynamic equations. (English) Zbl 1361.35028
Relaxation limit in bipolar semiconductor hydrodynamic model with non-constant doping profile. (English) Zbl 1358.35193
An energy preserving finite difference scheme for the Poisson-Nernst-Planck system. (English) Zbl 1410.65311
Local well-posedness and parabolic smoothing effect of fifth order dispersive equations on the torus. (English) Zbl 1375.35463
Decay estimates with sharp rates of global solutions of nonlinear systems of fluid dynamics equations. (English) Zbl 1356.35164
Decay of the compressible viscoelastic flows. (English) Zbl 1354.35117
Reviewer: Piotr Biler (Wrocław)
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