Found 943 Documents (Results 1–100)
Low-regularity solutions to Fokker-Planck-type systems in the whole space. (English) Zbl 07930619
MSC:
35A05
35L45
Remarks on the stabilization of large-scale growth in the 2D Kuramoto-Sivashinsky equation. (English) Zbl 07924629
Systems of parabolic equations with delays: continuous dependence on parameters. (English) Zbl 07923499
Convexity of weakly regular surfaces of distributional nonnegative intrinsic curvature. (English) Zbl 07919641
Low regularity full error estimates for the cubic nonlinear Schrödinger equation. (English) Zbl 07909884
Global attractor for the damped BBM equation in the sharp low regularity space. (English) Zbl 07905868
Global-in-time solutions and Hölder continuity for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel dual scale. (English) Zbl 07903737
An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. (English) Zbl 07899522
An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential. (English) Zbl 1542.65124
Superconvergence of unfitted Rannacher-Turek nonconforming element for elliptic interface problems. (English) Zbl 07885873
Cancellation properties and unconditional well-posedness for the fifth order KdV type equations with periodic boundary condition. (English) Zbl 1541.35428
MSC:
35Q53
Partial data inverse problems for magnetic Schrödinger operators with potentials of low regularity. (English) Zbl 07880205
A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential. (English) Zbl 07870134
Ginzburg-Landau equation with fractional Laplacian on a upper-right quarter plane. (English) Zbl 1542.35365
Low Mach number limit on perforated domains for the evolutionary Navier-Stokes-Fourier system. (English) Zbl 1541.35338
Weighted \(W^{1, 2}_{p(\cdot)}\)-estimate for fully nonlinear parabolic equations with a relaxed convexity. (English) Zbl 1541.35114
Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. (English) Zbl 1540.65354
Temporal approximation of stochastic evolution equations with irregular nonlinearities. (English) Zbl 1540.65020
Low Mach number limit of the full compressible Navier-Stokes-Korteweg equations with general initial data. (English) Zbl 07853766
Local continuous extension of proper holomorphic maps: low-regularity and infinite-type boundaries. (English) Zbl 07845477
A low-regularity Fourier integrator for the Davey-Stewartson II system with almost mass conservation. (English) Zbl 07844473
Weighted Sobolev-Morrey regularity of solutions to variational inequalities. (English) Zbl 1537.35191
Sharp well-posedness for the Cauchy problem of the two dimensional quadratic nonlinear Schrödinger equation with angular regularity. (English) Zbl 1539.35234
Local well-posedness of the higher-order nonlinear Schrödinger equation on the half-line: single-boundary condition case. (English) Zbl 1539.35225
Sharp well-posedness for the cubic NLS and mKdV in \(H^s(\mathbb{R})\). (English) Zbl 1540.35372
Reviewer: Guido Schneider (Stuttgart)
Long-time error bounds of low-regularity integrators for nonlinear Schrödinger equations. (English) Zbl 1536.35287
A fourth-order energy-preserving and symmetric average vector field integrator with low regularity assumption. (English) Zbl 07829074
MSC:
65Mxx
Higher differentiability and integrability for some nonlinear elliptic systems with growth coefficients in BMO. (English) Zbl 1537.35131
The low Mach number limit of non-isentropic magnetohydrodynamic equations with large temperature variations in bounded domains. (English) Zbl 1536.35275
Low Mach number limit of the global solution to the compressible Navier-Stokes system for large data in the critical Besov space. (English) Zbl 1535.35144
Global well-posedness for Cauchy problems of Zakharov-Kuznetsov equations on cylindrical spaces. (English) Zbl 1534.35358
Local well-posedness for incompressible neo-Hookean elastic equations in almost critical Sobolev spaces. (English) Zbl 1534.35306
The time-like minimal surface equation in Minkowski space: low regularity solutions. (English) Zbl 1537.35245
Reviewer: Dongbing Zha (Shanghai)
A note on gradient estimates for elliptic equations with discontinuous coefficients. (English) Zbl 1532.35094
An \(L^1_k\cap L^p_k\) approach for the non-cutoff Boltzmann equation in \(\mathbb{R}^3\). (English) Zbl 1535.35130
Reviewer: Eugene Postnikov (Kursk)
Crank-Nicolson schemes for sub-diffusion equations with nonsingular and singular source terms in time. (English) Zbl 1531.65190
Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. (English) Zbl 1531.35290
Global gradient estimates for the mixed local and nonlocal problems with measurable nonlinearities. (English) Zbl 1531.35101
An implicit splitting scheme with characteristic boundary conditions for compressible reactive flows on unstructured grids. (English) Zbl 07750621
Nonlocal equations with degenerate weights. arXiv:2409.11829
Preprint, arXiv:2409.11829 [math.AP] (2024).
Quantitative approximation of stochastic kinetic equations: from discrete to continuum. arXiv:2409.05706
Preprint, arXiv:2409.05706 [math.PR] (2024).
Analysis of linear elliptic equations with general drifts and \(L^1\)-zero-order terms. arXiv:2408.12295
Preprint, arXiv:2408.12295 [math.AP] (2024).
\(L_p\)-estimates for parabolic equations in divergence form with a half-time derivative. arXiv:2407.11305
Preprint, arXiv:2407.11305 [math.AP] (2024).
Gradient and Hessian regularity in elliptic transmission problems near a point cusp. arXiv:2404.05827
Preprint, arXiv:2404.05827 [math.AP] (2024).
A regularity result for quasilinear elliptic systems with an equation of energy-type. arXiv:2401.03309
Preprint, arXiv:2401.03309 [math.AP] (2024).
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity. (English) Zbl 1534.65152
Global low-energy weak solutions for compressible magneto-micropolar fluids with discontinuous initial data in \(\mathbb{R}^3\). (English) Zbl 1534.35336
A low Mach number two-speed relaxation scheme for ideal MHD equations. (English) Zbl 1533.65139
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 43-51 (2023).
Truly multi-dimensional all-speed methods for the Euler equations. (English) Zbl 1533.65111
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 23-31 (2023).
Low regularity exponential-type integrators for the “good” Boussinesq equation. (English) Zbl 1534.65203
A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition. (English) Zbl 1534.65196
On the low Mach number limit of the compressible viscous micropolar fluid model. (English) Zbl 1538.76224
Fully discrete error analysis of first-order low regularity integrators for the Allen-Cahn equation. (English) Zbl 1535.65259
Fully discrete low-regularity integrator for the Korteweg-de Vries equation. (English) Zbl 1527.65108
The global generalized solution of the chemotaxis-Navier-Stokes system with logistic source. (English) Zbl 1527.35138
Local smoothing estimates for Schrödinger equations on hyperbolic space. (English) Zbl 1533.35004
Memoirs of the American Mathematical Society 1447. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6697-8/pbk; 978-1-4704-7680-9/ebook). v, 165 p. (2023).
Reviewer: Hajer Bahouri (Paris)
Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces. (English) Zbl 07756998
Dynamics of nonlinear Klein-Gordon equations in low regularity on \(\mathbb{S}^2\). (English) Zbl 1535.37095
Reviewer: Arsen Melikyan (Brasília)
On the motion of a nearly incompressible viscous fluid containing a small rigid body. (English) Zbl 1530.35218
Reviewer: Liutang Xue (Beijing)
Optimal partial regularity of discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields. (English) Zbl 1522.35134
Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels. (English) Zbl 1522.35132
\(L^p\) and \(\mathcal{H}_{FIO}^p\) regularity for wave equations with rough coefficients. (English) Zbl 1522.35130
Heat kernels and Hardy spaces on non-tangentially accessible domains with applications to global regularity of inhomogeneous Dirichlet problems. (English) Zbl 1522.35117
Reviewer: Lutz Recke (Berlin)
Low Mach number limit of solutions to the stochastic compressible magnetohydrodynamic equations. (English) Zbl 1522.35415
Higher Hölder regularity for nonlocal parabolic equations with irregular kernels. (English) Zbl 1527.35108
Reviewer: Vivek Tewary (Sri City)
Further observations on the definition of global hyperbolicity under low regularity. (English) Zbl 07725926
MSC:
83-XX
Inexact penalty decomposition methods for optimization problems with geometric constraints. (English) Zbl 1522.90079
Gauge-transformed exponential integrator for generalized KdV equations with rough data. (English) Zbl 07713540
Optimal large time behavior of the full compressible Navier-Stokes system in \(\mathbb{R}^3\). (English) Zbl 1518.35534
A regularity result for the incompressible inviscid magnetohydrodynamics equations in the arbitrary Lagrangian-Eulerian coordinates. (English) Zbl 1530.35233
A semi-discrete first-order low regularity exponential integrator for the “good” Boussinesq equation without loss of regularity. (English) Zbl 1517.35180
Low Mach number limit of the compressible Navier-Stokes-Cattaneo equations with general initial data. (English) Zbl 1519.35230
Incompressible limit for a fluid mixture. (English) Zbl 1525.35187
Reviewer: Dimitar A. Kolev (Sofia)
The singularity theorems of general relativity and their low regularity extensions. (English) Zbl 1523.83049
An analysis for the momentum equation with unbounded pressure gradient: numerical simulations. (English) Zbl 07692039
\(L^p (I,C^{\alpha} (\Omega))\) regularity for diffusion equations with non-smooth data. (English) Zbl 1514.35075
A posteriori error estimates for mixed finite element discretizations of the neutron diffusion equations. (English) Zbl 1515.65127
A second-order low-regularity correction of Lie splitting for the semilinear Klein-Gordon equation. (English) Zbl 1516.65106
A note on comparison principle for elliptic obstacle problems with \(L^1\)-data. (English) Zbl 1514.35072
Mean oscillation gradient estimates for elliptic systems in divergence form with VMO coefficients. (English) Zbl 1516.35207
Reviewer: Lubomira Softova (Salerno)
Sumsets and Veronese varieties. (English) Zbl 1516.13016
Reviewer: Scott Nollet (Fort Worth)
Stability of the 2D Boussinesq equations with a velocity damping term in the strip domain. (English) Zbl 1514.35033
Measure-valued low Mach number limits of ideal fluids. (English) Zbl 1515.35194
Reviewer: Alain Brillard (Riedisheim)
The low Mach number limit for isentropic compressible Navier-Stokes equations with a revised Maxwell’s law. (English) Zbl 1524.35055
Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy. (English) Zbl 07681267
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